Publication List for Sanjay Govindjee

    Refereed Publications: Archival Journals

  1. K. Kamrin and S. Govindjee, ``Clarifying the representation of isotropic symmetric tensor-valued functions of two symmetric tensors," Mathematics and Mechanics of Solids (to appear 2025).*
  2. Govindjee, S., Papadopoulos, P. and Wriggers, P., ``Editorial, Special Issue: Nonlinear Methods in Finite Elements for Solids -- An issue celebrating the 90th Birthday of Bob Taylor," International Journal for Numerical Methods in Engineering e7571. (2024)

  3. S. Govindjee and T. Carlson, ``Revisiting the Chadwick and Lu & Pister models of finite thermoelasticity for isotropic materials," Computational Mechanics, (to appear, 2024).*

  4. A.E.H. Chehade, B. Shen, C.M. Yakaki, T.D. Nguyen, S. Govindjee, ``Finite element modeling of viscoelastic liquid crystal elastomers," International Journal for Numerical Methods in Engineering, v125, e7510 (2024).*

  5. G. Jezdan, S. Govindjee, and K. Hackl, ``A variational approach to effective models for inelastic systems," International Journal of Solids and Structures, v286-287, 112567 (2024).*

  6. Zhong, K., Navarro, J.G., Govindjee, S., and Deierlein, G.G., ``Surrogate Modeling of Structural Seismic Response Using Probabilistic Learning on Manifolds," Earthquake Engineering & Structural Dynamics, v52, 2407-2428 (2023)

  7. Zhang, S., Liu, H., Govindjee, S., and DeJong, M., ``Strain transfer mechanisims and mechanical properties of optical fiber cables," Sensors, v22 9966 (2022)

  8. Wang, Z., Chehade, A.E.H., Govindjee, S., Nguyen, T.D., ``A nonlinear viscoelasticity theory for nematic liquid crystal elastomers," Journal of the Mechanics and Physics of Solids, v163, 104829 (2022)

  9. Bakhaty, A.A., Govindjee, S., and Mofrad, M.R.K., ``A Coupled Multiscale Approach to Modeling Aortic Valve Mechanics in Health and Disease," Applied Sciences, v11, 8332 (2021)

  10. Velez, N.R., Allen, F.I, Jones, M.A., Donohue, J., Wei, L., Pister, K., Govindjee, S., Meyers, G.F., Minor, A.M., "Nanomechanical testing of freestanding polymer films: in situ tensile testing and Tg measurement," Journal of Materials Research, v36 2456-2464 (2021)

  11. Velez, N.R., Allen, F.I, Jones, M.A., Govindjee, S., Meyers, G.F., Minor, A.M., "Extreme Ductility in Freestanding Polystyrene Thin Films," Macromolecules, v53 8650-8662 (2020)

  12. Deierlein, G.D., McKenna, F., Zsarn\'oczay, A., Kijewski-Correa, T., Kareem, A., Elhaddad, W., Lowes, L., Schoettler, M.J., and Govindjee, S, "A Cloud-enabled Application Framework for Simulating Regional-scale Impacts of Natural Hazards on the Built Environment," Frontiers in Built Environment, v6 196 (2020)

  13. Arias, A., Macorra, J.C., Govindjee, S., and Peters, O.A., "Effect of gamma-ray sterilization on phase transformation behavior and fatigue resistance of contemporary nickel-titanium instruments," Clinical Oral Investigations, v24 3113-3120 (2020).

  14. Scott, R., Arias, A., Macorra, J.C., Govindjee, S., and Peters, O.A., "Resistance to cyclic fatigue of reciprocating instruments determined at body temperature and phase transformation analysis," Australian Endodontic Journal, v45 400-406 (2019).

  15. Govindjee, S., Zoller, M.J., and Hackl K. ``A fully-relaxed variationally-consistent framework for inelastic micro-sphere models: Finite viscoelasticity," Journal of the Mechanics and Physics of Solids, v127 1-19 (2019). *

  16. Arias, A., Hejlawy, S., Murphy, S., Macorra, J.C., Govindjee, S., and Peters, O.A., "Variable impact by ambient temperature on fatigue resistance of heat-treated nickel titanium instruments," Clinical Oral Investigations, v23 1101-1108 (2019)

  17. Sankaran, R., Ozdol, V.B, Ophus, C.L., Kacher, J., Gammer, C., Govindjee, S., Minor, A.M., Morris, J.W., ``Multiscale Analysis of Nanoindentation-Induced Defect Structures in Gum Metal," Acta Materialia, v151, 334-346 (2018)

  18. Arias, A, Macorra, J.C., Govindjee, S., Peters, O.A., "Correlation between Temperature-dependent Fatigue Resistance and Differential Scanning Calorimetry Analysis for 2 Contemporary Rotary Instruments," Journal of Endodontics, v44, 630-634 (2018).

  19. Raja, S.N., Ye, X., Jones, M.R., Lin, L., Govindjee, S., Ritchie, R.O., ``Microscopic Mechanisms of Deformation Transfer in High Dynamic Range Branched Nanoparticle Deformation Sensors," Nature Communications, v9, 1150 (2018).

  20. Bakhaty, A., Govindjee, S., and Mofrad, M.R.K., ``Consistent Trilayer Biomechanical Modeling of the Aortic Valve Leaflet Tissue," Journal of Biomechanics, v61, 1-10 (2017).

  21. Drazin, P. and Govindjee, S., ``Hybrid simulation theory for a classical nonlinear dynamical system," Journal of Sound and Vibration, v392, 240-259 (2017) *

  22. Brandstetter, G. and Govindjee, S., ``Cyclic steady states of nonlinear electro-mechanical devices excited at resonance," International Journal for Numerical Methods in Engineering, v110, 1227-1246 (2017). *

  23. Bakhaty, A., Govindjee, S., and Mosalam, K., ``Theoretical Evaluation of Hybrid Simulation Applied to Continuous Plate Structures," ASCE Journal of Engineering Mechanics, v142, 04016093 (2016). *

  24. Raja, S.N., Zherebetskyy, D., Wu, S., Ercius, P., Powers, A., Olson, A.C.K., Du, D.X., Lin, L., Govindjee, S., Wang, L.-W., Xu, T., Alivisatos, A.P., and Ritchie, R.O., ``Mechanisms of Local Stress Sensing in Multifunctional Polymer Films Using Fluorescent Tetrapod Nanocrystals," Nano Letters, v16, 5060--5067 (2016).

  25. Montella, G., Govindjee, S., and Neff, P., ``The exponentiated Hencky strain energy in modelling tire derived material for moderately large deformations," ASME Journal of Engineering Materials and Technology, v138, 031008-031008-12 (2016). *

  26. de Vasconcelos, R.A., Murphy, S., Carvalho, C.A.T., Govindjee, R.G., Govindjee, S., Peters O.A., ``Evidence of Reduced Fatigue Resistance of Contemporary Rotary Instruments Exposed to Body Temperature," Journal of Endodontics, v42, 782--787 (2016).

  27. Drazin, P.L., Govindjee, S., and Mosalam, K.M, ``Hybrid Simulation Theory for Continuous Beams," ASCE Journal of Engineering Mechanics, v141, 0401505 (2015).*

  28. Brandstetter, G. and Govindjee, S., ``A High-Order Immersed Boundary Discontinuous-Galerkin Method for Poisson's Equation with Discontinuous Coefficients and Singular Sources," International Journal for Numerical Methods in Engineering, v101, 847-869 (2015)*

  29. Sagiyama, K., Govindjee, S., and Persson, P.-O., ``An Efficient Time-Domain Perfectly Matched Layers Formulation for Elastodynamics of Spherical Domains," International Journal for Numerical Methods in Engineering, v100, 419-441 (2014)*

  30. Govindjee, S., Potter, T., and Wilkening, J., ``Dynamic Stability of Spinning Viscoelastic Cylinders at Finite Deformation," International Journal of Solids and Structures, v51, 3589-3603 (2014).*

  31. Govindjee, S., Potter, T., and Wilkening, J., ``Cyclic Steady States of Treaded Rolling Bodies," International Journal for Numerical Methods in Engineering, v99, 203-220 (2014).*

  32. Mistry, S.J. and Govindjee, S., ``A micro-mechanically based continuum model for strain-induced crystallization in natural rubber," International Journal of Solids and Structures, v51, 530-539 (2014) *

  33. Brandstetter, G. and Govindjee S., ``Analytical treatment of the deformation behavior of extreme-ultraviolet-lithography masks during electrostatic chucking," Journal of Micro/Nanolithography, MEMS, and MOEMS, v11, 043005-1 -- 043005-10 (2012). *

  34. Govindjee, S. and Persson, P.-O., ``A Time-Domain Discontinuous Galerkin Method for Mechanical Resonator Quality Factor Computations," Journal of Computational Physics, v231, 6380-6392 (2012). *

  35. Brandstetter, G. and Govindjee, S., ``Particle contamination effects in extreme ultraviolet lithography: enhanced theory for the analytical determination of critical particle sizes," Journal of Micro/Nanolithography, MEMS, and MOEMS, v11, 023011-1 -- 023011-8 (2012).*

  36. Govindjee, S., Strain, J., Mitchell, T.J., and Taylor, R.L., ``Convergence of an Efficient Local Least-Squares Fitting Method for Bases with Compact Support," Computer Methods in Applied Mechanics and Engineering, v213-216, 84-92 (2012) *

  37. He, W., D., Bindel, and S., Govindjee, ``Topology optimization in micromechanical resonator design", Optimization and Engineering, v13, 271-292 (2012)*

  38. Govindjee, S., ``Stability Analysis of Bay Bridge Saddle Configuration," ASCE Journal of Structural Engineering, v136, 1613-1618 (2010).*

  39. Helfenstein, J., Jabareen, M., Mazza, E., and Govindjee, S., ``On non-physical response in models for fiber-reinforced hyperelastic materials," International Journal of Solids and Structures, v47, 2056-2061 (2010).

  40. Mandadapu, K.K., Govindjee, S., and Mofrad, M.R.K., ``On the cytoskeleton and soft glassy rheology," Journal of Biomechanics, v41, 1467--1478 (2008).*

  41. Govindjee, S., Hackl, K., and Heinen, R, "An upper bound to the free energy of mixing by twin-compatible lamination for n-variant martensitic phase transformations", Continuum Mechanics and Thermodynamics, v18, 443-453 (2007).

  42. Hall, G.J., Govindjee, Sittner, P., and Novak, V., "Simulation of cubic to monoclinic-II transformations in a single crystal CuAlNi tube", International Journal of Plasticity, v23, 161-182 (2007).

  43. Nguyen, T.D., and Govindjee, S., "Numerical study of geometric constraint and cohesive parameters in steady-state viscoelastic crack growth", International Journal of Fracture, v141, 255-268 (2006).

  44. P.K. Vijalapura and Govindjee, S, ``An adaptive hybrid time-stepping scheme for highly nonlinear strongly coupled problems," International Journal for Numerical Methods in Engineering, v64, 819-848 (2005).*

  45. D.S. Bindel and Govindjee, S, ``Elastic PMLs for resonator anchor loss simulations," International Journal for Numerical Methods in Engineering, v64, 789-818 (2005).*

  46. S. Govindjee and Klinkel, S., ``Mechanical Coupling in Single Crystal Silicon for MEMS Design," IEEE Journal of Microelectromechanical Systems, v14, 864-871 (2005).

  47. Nguyen, T.D., Govindjee, S., Klein, P.A., and Gao, H., "A Material Force Method for Inelastic Fracture Mechanics," Journal of the Mechanics and Physics of Solids, v53, 91-121 (2005).

  48. Vijalapura, P.K., Strain, J.A., Govindjee, S., "Fractional step methods of index-1 differential-algebraic equations," Journal of Computational Physics, v203, 305-320 (2005).

  49. Taylor, RL and Govindjee, S., "Solution of clamped rectangular plates," Communications in Numerical Methods in Engineering, v20, 757-765 (2004). *

  50. Lowes LN. Moehle JR. Govindjee S., "Concrete-steel bond model for use in finite element modeling of reinforced concrete structures", ACI Structural Journal, v101, 501-511 (2004).

  51. Nguyen, T.D., Govindjee, S., Klein, P., Gao. H., "A rate-dependent cohesive continuum model for the study of crack dynamics", Computer Methods in Applied Mechanics and Engineering, v193, 3239-3265 (2004).

  52. Vijalapura, P.K. and Govindjee S., ``Numerical simulation of coupled-stress case II diffusion in one dimension," Journal of Polymer Science Part B: Polymer Physics, v41, 2091--2108 (2003).

  53. Klinkel, S. and Govindjee, S., ``Anisotropic Bending-Torsion Coupling for Warping in a Non-Linear Beam," Computational Mechanics, v31, 78-87 (2003). *

  54. Hall, G.J. & Govindjee, S., ``Application of the Relaxed Free Energy of Mixing to Problems in Shape Memory Alloy Simulation," Journal of Intelligent Material Systems Structures, v13, 773--782 (2002).

  55. Klinkel, S. and Govindjee, S., ``Using finite strain 3D-material models in beam and shell elements," Engineering Computations, v19, 902-921 (2002). An incorrect printing also appears on 254-271 of the same volume.

  56. Govindjee, S., Mielke, A., and Hall, G.J., ``The Free-Energy of Mixing for n-Variant Martensitic Phase Transformations using Quasi-Convex Analysis," Journal of the Mechanics and Physics of Solids, v51, 763+ (2003). [Incorrect version originally published in v50, 1897--1922 (2002)].*

  57. Govindjee, S. & Miehe, C., ``A Multi-Variant Martensitic Phase Transformation Model: Formulation and Numerical Implementation," Computer Methods in Applied Mechanics and Engineering, v191, 215-238 (2001).*

  58. Hall, G.J. & Govindjee, S., ``Application of a Paritally Relaxed Shape Memory Free Energy Function to Estimate the Phase Diagram and Predict Global Microstructure Evolution," Journal of the Mechanics and Physics of Solids, v50, 501-530 (2002).*

  59. Koishi, M. & Govindjee, S., ``Inverse Design Methodology of a Tire," Tire Science and Technology Journal, v29, 155-170 (2001).

  60. Falk, W. & Govindjee, S., ``Unilateral Buckling Restrained by Initial Force Supports," ASCE Journal of Engineering Mechanics, 126, 1301--1302 (2000).

  61. Govindjee, S. & Hall, G.J., ``A Computational Model for Shape Memory Alloys," International Journal of Solids and Structures, 37, 735-760 (2000).*

  62. Smeulders, S.B. & Govindjee, S., ``A Phenomenological Model of an Elastomer with an Evolving Molecular Weight Distribution," Journal of Rheology, 43, 393-414 (1999).*

  63. Govindjee, S. & Sackman, J.L., ``On the use of continuum mechanics to estimate the properties of nanotubes," Solid State Communications, 110, 227-230 (1999).*

  64. Govindjee, S. & Kasper, E.P., ``Computational Aspect of One-Dimensional Shape Memory Alloy Modeling with Phase Diagrams," Comp. Meth. Appl. Mech. Engng., 171, 309-326 (1999).*

  65. Govindjee, S. & Mihalic, P.A., ``Computational Methods for Inverse Deformations in Quasi-incompressible Finite Elasticity," Int. J. Numer. Meth. Engng., 43, 821-838 (1998).*

  66. Reese, S. & Govindjee, S., ``Theoretical and numerical aspects in the thermo-viscoelastic material behaviour of rubber-like polymers," Mechanics of Time-Dependent Materials, 1, 357-396 (1998).*

  67. Reese, S. & Govindjee, S., ``A Theory of Finite Viscoelasticity and Numerical Aspects," Int. J. Solids Structures, 35, 3455-3482 (1998).*

  68. Govindjee, S. & Kasper, E., ``A Shape Memory Alloy Model for Uranium-Niobium Accounting for Plasticity," J. Intelligent Mat. Sys. Struct., 8, 815-823 (1997).*

  69. Govindjee, S. & Reese, S., ``A Presentation and Comparison of Two Large Deformation Viscoelasticity Models," ASME J. Engng. Mat. Tech., 119, 251-255 (1997).

  70. Govindjee, S., ``An Evaluation of Strain Amplification Concepts via Monte-Carlo Simulations of an Ideal Composite," Rubber Chem. Technol., 70, 25-37 (1997).*

  71. Govindjee, S., ``Accuracy and Stability for Integration of Jaumann Stress Rate Equations in Spinning Bodies," Engng. Comp., 14, 14-30 (1997).*

  72. Govindjee, S. & Mihalic, P.A., ``Computational Methods for Inverse Finite Elastostatics," Comp. Meth. Appl. Mech. Engng., 136, 47-57 (1996).*

  73. Weiss, J.A., Maker, B.N., & Govindjee, S., ``Finite Element Implementation of Incompressible Transversely Isotropic Hyperelasticity," Comp. Meth. Appl. Mech. Engng., 135, 107-128 (1996).*

  74. Govindjee, S., Kay, G.J., & Simo, J.C., ``Anisotropic Modeling and Numerical Simulation of Brittle Damage in Concrete," Int. J. Numer. Meth. Engng., 38, 3611-3633 (1995).*

  75. Laursen, T.A. & Govindjee, S., ``A Note on the Treatment of Frictionless Contact Between Nonsmooth Surfaces in Fully Nonlinear Problems," Comm. Num. Meth. Eng., 10, 869-878 (1994).*

  76. Govindjee, S. & Simo, J.C., ``Coupled Stress--Diffusion: Case II," J. Mech. Phys. Solids, 41, 863-887 (1993).

  77. Govindjee, S. & Simo, J.C., ``Mullins' Effect and the Strain Amplitude Dependence of the Storage Modulus," Int. J. Solids Struc., 29, 1737-1751 (1992).

  78. Govindjee, S. & Simo, J.C., ``Transition from Micro-Mechanics to Computationally Efficient Phenomenology: Carbon Black Filled Rubbers Incorporating Mullins' Effect," J. Mech. Phys. Sol., 40, 213-233 (1992).

  79. Govindjee, S. & Simo, J.C., ``A Micro-Mechanically Based Continuum Damage Model for Carbon Black Filled Rubbers Incorporating Mullins' Effect," J. Mech. Phys. Sol., 39, 87-112 (1991).

  80. Simo, J.C. & Govindjee, S., ``Non-Linear B-Stability and Symmetry Preserving Return Mapping Algorithms for Plasticity and Viscoplasticity," Int. J. Num. Meth. Eng., 31, 151-176 (1991).

  81. Simo, J.C. & Govindjee, S., ``Exact Closed-Form Solution of the Return Mapping Algorithm in Plane Stress Elasto-Viscoplasticity," Eng. Comp., 5, 254-258 (1988).

  82. Simo, J.C., Kennedy, J.G., & Govindjee, S., ``Non-Smooth Multisurface Plasticity and Viscoplasticity. Loading/Unloading Conditions and Numerical Algorithms," Int. J. Num. Meth. Eng., 26, 2161-2185 (1988).
    * -- Previously appeared as a non-refereed technical report.

    Refereed Publications: Conference and Symposium Proceedings

  83. Garmire, D, Choo, H., Kant, R., Govindjee, S., Sequin, C.H., Muller, R.S., and Demmel, J., ``Diamagnetically levitated MEMS accelerometers," 14th International Conference on Solid-State Sensors, Actuators and Microsystems, Transducers 2007 \& Eurosensors XXI, Lyon France, vol 1 and 2, U606-U607 (June 2007).

  84. D. Garmire, H. Choo, R. S. Muller, S. Govindjee, and J. Demmel. "MEMS Process Characterization with an on-Chip Device." Nanotech 2006, The Technical Proceedings of the Nano Science and Technology Institute, vol 3, 550-553, Boston, MA, (May 2006).

  85. Koyama, T., Bindel, D.S., Wei, H., Qu\'evy, E.P., Govindjee, S., Demmel, J.W., and Howe, R.T., ``Simulation tools for damping in high frequency resonators," 4th IEEE Conference on Sensors, Irvine, CA, 349-352, (October 2005).

  86. Bindel, D.S., Quevy, E., Koyama, T., Govindjee, S., Demmel, J.W., and Howe, R.T., ``Anchor Loss Simulation in Resonators," MEMS 2005, IEEE international conference, Miami, FL 133-136 (January 2005).

  87. Clark, J.V., Bindel, Kao, W., Zhu, E., Kuo, A., Zhou, N., Nie, J., Demmel, J., Bai, Z., Govindjee, S., Pister, K.S.J., Gu, M., Agogino, A., ``Addressing the needs of complex MEMS design," MEMS 2002, IEEE international conference, Las Vegas, NV (January 2002).

  88. Long, F., Govindjee, S., & Monosmith, C.L., ``Permanent deformation of asphalt concrete pavements --- development of a nonlinear viscoelastic model for mix design and analyses," Proceedings 9th International Conference on Asphalt Pavements, Copenhagen, Denmark (August 2002) (to appear).

  89. Govindjee, S, ``Finite Deformation Energy Release Rate Computations in a Steady Rolling Tire," Proceedings of the Tenth International Congress of Fracture, Honolulu, HI (December 2001).

  90. Lowes, L., Govindjee, S., & Moehle, J., ``Analysis of Reinforced Concrete Beam-Column Joints," Proceedings of the Sixth National Conference on Earthquake Engineering, Seattle, WA (May 1998).

  91. Puso, M. & Govindjee, S., ``A Phenomenological Constitutive Model for Rigid Polymeric Foam," in Mechanics of Plastics and Plastic Composites 1995}, Ed. Boyce, M.C., MD-Vol. 68, AMD-Vol. 88, ASME Press, New York, 159-176 (1995).

  92. Simo, J.C. & Govindjee, S., ``Exact Closed-Form Return Mapping Algorithms in Plane Stress Elasto-Viscoplasticity," in Elastic-Plastic Failure Modeling of Structures With Applications, Eds. Hui, D. & Kozik, T. J., PVP-Vol. 141, ASME Press, New York, 37-41 (1988).

  93. Simo, J.C., Kennedy, J.G., & Govindjee, S., ``Multisurface Plasticity and Viscoplasticity With Non-Smooth Intersection," in Elastic-Plastic Failure Modeling of Structures With Applications, Eds. Hui, D. & Kozik, T. J., PVP-Vol. 141, ASME Press, New York, 43-47 (1988).

  94. Simo, J.C., Kennedy, J.G, Govindjee, S., & Hughes, T.J.R., ``Unconditionally Convergent Algorithms for Non-Smooth Multisurface Plasticity Amenable to Exact Linearization," in Advances in Inelastic Analysis, Eds. Nakazawa, S., Williams, K., & Rebello, N., AMD-Vol. 88, ASME Press, New York, 87-95 (1987).

    Non-Refereed Publications: Technical Reports

  95. K. Kamrin and S. Govindjee, ``Clarifying the representation of isotropic symmetric tensor-valued functions of two symmetric tensors," UCB/SEMM-2025/01, University of California Berkeley (2025).

  96. S. Govindjee and T. Carlson, ``Revisiting the Chadwick and Lu & Pister models of finite thermoelasticity for isotropic materials," UCB/SEMM-2024/01, University of California Berkeley (2024). **

  97. A.E.H. Chehade, B. Shen, C.M. Yakaki, T.D. Nguyen, S. Govindjee, ``Finite element modeling of viscoelastic liquid crystal elastomers," UCB/SEMM-2023/01, University of California Berkeley (2023). **

  98. G. Jezdan, S. Govindjee, and K. Hackl, ``A variational approach to effective models for inelastic systems," arXiv:2306.14692 (2023). **

  99. Harish, A.B., Taylor, R.L., and Govindjee, S. ``Automation of user element generation for FEAP," UCB/SEMM-2021/01, University of California Berkeley (2021).

  100. DeJong, M., Filippou, F., Govindjee, S., der Kiureghian, A., Moehle, J., Ostertag, C. ``SEMM Graduate Program Primer: 2021," UCB/SEMM-2021/02, University of California Berkeley (2021).

  101. Deierlein, G.G, Govindjee, S., and McKenna,F. ``Overview of SimCenter Goals and Computational Tools," In: State of the Art in Computational Simulation for Natural Hazards Engineering, Second Edition, Eds. Deierlein, G.G. and Zsarn\'oczay, A., NSF NHERI SimCenter Report No. 2021-01, 1--9, (2021) DOI: 10.5281/zenodo.4558106

  102. Taflanidis, A., Conte, J.P., Deodatis, G., and Govindjee, S., ``Uncertainty Quantification," In: State of the Art in Computational Simulation for Natural Hazards Engineering}, Second Edition, Eds. Deierlein, G.G. and Zsarn\'oczay, A., NSF NHERI SimCenter Report No. 2021-01, 153--163, (2021) DOI: 10.5281/zenodo.4558106

  103. DeJong, M., Filippou, F., Govindjee, S., der Kiureghian, A., Moehle, J., Ostertag, C. ``SEMM Graduate Program Primer: 2020," UCB/SEMM-2020/01, University of California Berkeley (2020).

  104. Deierlein, G.G, Govindjee, S., and McKenna,F. ``Summary and SimCenter Goals," In: State-of-Art in Computational Simulation for Natural Hazards Engineering, Eds. Deierlein, G.G. and Zsarn\'oczay, A., NSF NHERI SimCenter Report No. 2019-01, 112--116, (2019) DOI: 10.5281/zenodo.2579582

  105. Taflanidis, A., Conte, J.P., Deodatis, G., and Govindjee, S., ``Uncertainty: Basic Issues," In: State-of-Art in Computational Simulation for Natural Hazards Engineering, Eds. Deierlein, G.G. and Zsarn\'oczay, A., NSF NHERI SimCenter Report No. 2019-01, 90--105, (2019) DOI: 10.5281/zenodo.2579582

  106. Govindjee, S., Zoller, M.J., and Hackl K. ``A fully-relaxed variationally-consistent framework for inelastic micro-sphere models: Finite viscoelasticity," UCB/SEMM-2018/04, University of California Berkeley (2018). **

  107. Drazin, P. and Govindjee S., ``A Nonlinear Kinetic Model for Multi-Stage Friction Pendulum Systems," PEER Report-2017/07, University of California Berkeley (2017).

  108. Drazin, P.,L. and Govindjee, S., ``Hybrid Simulation Theory for a Crane Structure," UCB/SEMM-2017/01, University of California Berkeley (2017).

  109. Drazin, P. and Govindjee S., ``Hybrid Simulation Theory for a Classical Nonlinear Dynamical System," PEER Report-2016/07, University of California Berkeley (2016). **

  110. Brandstetter, G. and Govindjee, S., ``Cyclic steady states of nonlinear electro-mechanical devices," UCB/SEMM-2016/01, University of California Berkeley (2016). **

  111. Montella, G., Govindjee, S., and Neff, P., ``The exponentiated Hencky strain energy in modelling tire derived material for moderately large deformations," UCB/SEMM-2015/03, University of California Berkeley (2015) **

  112. Govindjee, R.G. and Govindjee, S., ``Thermal Phase Transformations in Commercial Dental Files," UCB/SEMM-2015/02, University of California Berkley (2015).

  113. Drazin, P.L., Govindjee, S., and Mosalam, K.M, ``Hybrid Simulation Theory for Continuous Beams," UCB/SEMM-2014/06, University of California Berkeley (2014). **

  114. Brandstetter, G. and Govindjee, S., ``A High-Order Immersed Boundary Discontinuous-Galerkin Method for Poisson's Equation with Discontinuous Coefficients and Singular Sources," UCB/SEMM-2014/05, University of California Berkeley (2014).**

  115. Bakhaty, A.A, Mosalam, K.M, and Govindjee, S., ``Theoretrical Development of Hybrid Simulation Applied to Plate Structures," PEER Report-2014/02, University of California Berkeley (2014).

  116. Sagiyama, K., Govindjee, S., and Persson, P.-O., ``An Efficient Time-Domain Perfectly Matched Layers Formulation for Elastodynamics of Spherical Domains," UCB/SEMM-2013/09, University of California Berkeley (2013). **

  117. Govindjee, S., Potter, T., and Wilkening, J., ``Cyclic Steady States of Treaded Rolling Bodies," UCB/SEMM-2013/07, University of California Berkeley (2013).**

  118. Govindjee, S., Potter, T., and Wilkening, J., `` Stability of Spinning Viscoelastic Cylinders at Finite Deformation," UCB/SEMM-2013/06, University of California Berkeley (2013).**

  119. Mistry, S.J. and Govindjee, S., ``A Micro-Mechanically Based Continuum Model for Strain-Induced Crystallization in Natural Rubber," UCB/SEMM-2013/05, University of California Berkeley (2013).**

  120. Govindjee, S., Strain, J., Mitchell, T.J., and Taylor, R.L., ``Convergence of an Efficient Local Least-Squares Fitting Method for Bases with Compact Support," UCB/SEMM-2011/08, University of California Berkeley (2011).**

  121. Sagiyama, K. and Govindjee, S., ``Analysis of a class of high-order local absorbing boundary conditions," UCB/SEMM-2011/07, University of California Berkeley (2011).

  122. Govindjee, S. and Persson, P.-O., ``A Time-Domain Discontinuous Galerkin Method for Mechanical Resonator Quality Factor Computations," UCB/SEMM-2011/06, University of California Berkeley (2011).**

  123. Brandstetter, G. and Govindjee, S., ``Chucking Pressures for Idealized Coulomb-Type Electrostatic Chucks," UCB/SEMM-2011/04, University of California Berkeley (2011).

  124. Govindjee, S., ``Estimation of the Fundamental Mode of a Radial-Disk Resonator," UCB/SEMM-2011/02, University of California Berkeley (2011).

  125. He, W., Bindel, D., and Govindjee, S., ``Topology Optimization in Micromechanical Resonator Design," UCB/SEMM-2009/04, University of California Berkeley (2009).**

  126. Govindjee, S., ``Stability Analysis of Bay Bridge Saddle Configuration," UCB/SEMM-2009/03, University of California Berkeley (2009).**

  127. He, W. and Govindjee, S., ``Application of aSymplectic-Energy-Momentum Preserving Integrator to Molecular Dynamics," UCB/SEMM-2009/01, University of California Berkeley (2009).

  128. Koyama, T. and Govindjee, S., ``Moment Matching Theorems for Dimension Reduction of Higher-Order Dynamical Systems via Higher-Order Krylov Subspaces," UCB/SEMM-2008/04, University of California Berkeley (2008).

  129. Kiran, K. and Govindjee, S. and Mofrad, M.R.K., ``Soft Glassy Rheology and Cytoskeletal Mechanics," ETH/ZfM-2007/01, ETH Zurich (2007).**

  130. Vijalapura, P.K. and Govindjee, S., ``An Adaptive Hybrid Time-Stepping Scheme for Highly Nonlinear Strongly Coupled Problems," UCB/SEMM-2005/02, University of California Berkeley (2005).

  131. Bindel, D.S. and Govindjee, S., ``Elastic PMLs for resonator anchor loss simulation," UCB/SEMM-2005/01, University of California Berkeley (2005).

  132. Vijalapura, P.K. and Govindjee, S., "1-D Diffusion Deformation Phenomena: Accuracy Analysis of Operator Splitting," UCB/SEMM-2003/06, University of California Berkeley (2003).

  133. Taylor, R. L. and Govindjee, S., ``A Quadratic Linked Plate Element with an Exact Thin Plate Limit ," UCB/SEMM-2002/10, University of California Berkeley (2002).

  134. Taylor, R. L. and Govindjee, S., ``Solution of Clamped Rectangular Plate Problems," UCB/SEMM-2002/09, University of California Berkeley (2002). **

  135. Klinkel, S. and Govindjee, S., ``Anisotropic Bending-Torsion Coupling for Warping in a Non-Linear Beam," UCB/SEMM-2002/04, University of California Berkeley (2002). **

  136. Govindjee, S., Mielke, A., and Hall, G.J., ``The Free-Energy of Mixing for n-Variant Martensitic Phase Transformations using Quasi-Convex Analysis," UCB/SEMM-2001/04, University of California Berkeley (2001).**

  137. Govindjee, S., ``Firestone Tire Failure Analysis" Lafayette, CA, January 2001, 73 pages.
    18MB version with high resolution graphics
    1MB version with optimized graphics

  138. Hall, G.J. & Govindjee, S., ``Application of a Paritally Relaxed Shape Memory Free Energy Function to Bound the Phase Diagram and Predict Global Microstructure Evolution," UCB/SEMM-2000/09, University of California Berkeley (2000).**

  139. Govindjee, S. & Miehe, C., ``A Multi-Variant Martensitic Phase Transformation Model: Formulation and Numerical Implementation," UCB/SEMM-2000/06, University of California Berkeley (2000).**

  140. Hall, G.J. & Govindjee, S., ``A Model and Numerical Framework for the Simulation of Solid-Solid Phase Transformations," UCB/SEMM-1999/11, University of California Berkeley (1999).

  141. Falk, W.M. & Govindjee, S., ``Towards an Understanding of the Observed Buckling Modes of Reinforcing Bars in Concrete Columns," UCB/SEMM-1999/10, University of California Berkeley (1999).

  142. Govindjee, S., ``Finite Deformation Inverse Design Modeling with Temperature Changes, Axis-Symmetry and Anisotropy," UCB/SEMM-1999/01, University of California Berkeley (1999).

  143. Govindjee, S. & Hall, G.J., ``A Computational Model for Shape Memory Alloys," UCB/SEMM-98/10, University of California Berkeley (1998).**

  144. Smeulders, S.B. & Govindjee, S., ``A Phenomenological Model of an Elastomer with an Evolving Molecular Weight Distribution," UCB/SEMM-98/09, University of California Berkeley (1998).**

  145. Smeulders, S.B. & Govindjee, S., ``A Constrained Downhill-Simplex Method for Stress-Strain Data Fitting," UCB/SEMM-98/07, University of California Berkeley (1998).

  146. Govindjee, S. & Kasper, E.P., ``Computational Aspect of One-Dimensional Shape Memory Alloy Modeling with Phase Diagrams," UCB/SEMM-98/03, University of California Berkeley (1998).**

  147. Govindjee, S. & Mihalic, P.A., ``Viscoelastic Constitutive Relations for the Steady Spinning of a Cylinder," UCB/SEMM-98/02, University of California Berkeley (1998).

  148. Govindjee, S. & Hall, G., ``A Local Integration Method for Coupled Damage and Plasticity," UCB/SEMM-98/01, University of California Berkeley (1998).

  149. Govindjee, S. & Sackman, J.L., ``On the use of continuum mechanics to estimate the properties of nanotubes," UCB/SEMM-97/16, University of California Berkeley (1997).**

  150. Govindjee, S. & Kasper, E., ``A Shape Memory Alloy Model for Uranium-Niobium Accounting for Plasticity," UCB/SEMM-97/06, University of California Berkeley (1997).**

  151. Govindjee, S. & Mihalic, P.A., ``Computational Methods for Inverse Deformations in Quasi-incompressible Finite Elasticity," UCB/SEMM-97/01, University of California Berkeley (1997).**

  152. Reese, S. & Govindjee, S., ``Theoretical and numerical aspects in the thermo-viscoelastic material behaviour of rubber-like polymers," Bericht Nr. 1/97, Institut fuer Mechanik, TH Darmstadt, January 1997.**

  153. Govindjee, S., ``An Evaluation of Strain Amplification Concepts via Monte-Carlo Simulations of an Ideal Composite," UCB/SEMM-96/09, University of California Berkeley (1996).**

  154. Reese, S. & Govindjee, S., ``A Theory of Finite Viscoelasticity and Numerical Aspects," UCB/SEMM-96/08, University of California Berkeley, August 1996.**

  155. Govindjee, S., ``Accuracy and Stability for Integration of Jaumann Stress Rate Equations in Spinning Bodies," UCB/SEMM-95/10, University of California Berkeley (1995).**

  156. Weiss, J.A., Maker, B.N., & Govindjee, S., ``Finite Element Implementation of Incompressible Transversely Isotropic Hyperelasticity," UCB/SEMM-95/07, University of California Berkeley (1995).**

  157. Govindjee, S. & Mihalic, P.A., ``Computational Methods for Inverse Finite Elastostatics," UCB/SEMM-95/01, University of California Berkeley (1995).**

  158. Govindjee, S., Kay, G.J., & Simo, J.C., ``Anisotropic Modeling and Numerical Simulation of Brittle Damage in Concrete," UCB/SEMM-94/18, University of California Berkeley (1994).**

  159. Laursen, T.A. & Govindjee, S., ``A Note on the Treatment of Frictionless Contact Between Nonsmooth Surfaces in Fully Nonlinear Problems," UCRL-JC-114843, University of California, Lawrence Livermore National Laboratory (1993).**

  160. Govindjee, S., ``The Wave, the Cylinder, and the Plate," UCRL-ID-111489, University of California, Lawrence Livermore National Laboratory (1992).

  161. Govindjee, S. and Kay, G.J., ``Reinforced Concrete Damage Modeling," Engineering Research Development and Technology, Lawrence Livermore National Laboratory, Thrust Area Report FY92, UCRL-53868-92, pp. 2-1 to 2-4 (1992).

  162. Govindjee, S., ``Physical and Numerical Modeling in Filled Elastomeric Systems," Ph.D. Dissertation, Stanford University, Stanford, CA, July 1991, 155 pages.
    ** -- Now appears as a refereed archival journal article

    Non-Refereed Publications: Conference and Symposium Proceedings

  163. de Barros, M.A.M., Govindjee, S., and Schr\"oder, J., "A note on the nonlinear viscoelastic Schapery model applied to PMMA and asphalt," Proceedings in Applied Mathematics and Mechanics, v24, e202400214 (2024).

  164. McKenna, F., Schoettler, M., Deierlein, G., and Govindjee, S., "Simulation in Natural Hazards Engineering and the SimCenter", IACM Expressions, No. 49, 8-13, January (2022).

  165. Jezdan, G., Govindjee, S. and Hackl, K., "Variational based effective models for inelastic materials," Proceedings in Applied Mathematics and Mechanics, vol 21, e202100053 (2021).

  166. Bakhaty, A., Drazin, P., Govindjee, S., Mosalam, K.M., and Gunay, S., "Theoretical evaluation of hybrid simulation for classical problems in continuum mechanics", Network for Earthquake Engineering Simulation, DOI:10.4231/D39C6S199 (2014).

  167. Bradstetter, G. and Govindjee S., ``Particle contamination effects in EUVL: enhanced theory for the analytical determination of critical particle sizes," Proceedings of SPIE, 2012, Vol. 8322, p 83221V (2012).

  168. Bradstetter, G. and Govindjee S., ``Analytical treatment of the deformation behavior of EUVL masks during electrostatic chucking," Proceedings of SPIE, 2012, Vol. 8322, p 832210 (2012).

  169. Chandhok, M., S. Goyal, S. Carson, S-J. Park, G. Zhang, A. M. Myers, M. L. Leeson, M. Kamna, F. C. Martinez, A. R. Stivers, G. F. Lorusso, J. Hermans, E. Hendrickx, S. Govindjee, G. Brandstetter and T. Laursen, "Compensation of Overlay Errors Due to Mask Bending and Non-flatness for EUV Masks," Proceedings of SPIE, 2009, Vol. 7271, p 72710G, doi: 10.1117/12.814428.

  170. Koyama, T. and Govindjee, S., ``A geometric multigrid preconditioner for solving time-harmonic elastodynamics on unbounded domains with perfectly matched layers," in Proceedings COMPDYN09, 2nd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, CD420 1--12 (2009).

  171. Koyama, T. and Govindjee, S., ``Solving generalized complex-symmetriceigenvalue problems arising fromresonant MEMS simulations with PETSc," in Proceedings in AppliedMathematics and Mechanics, 1141701-1141702 (2008).

  172. Kiran, K., Govindjee, S., and Mohammad, MRK., ``On the cytoskeleton and soft glassy rheology," in Proceedings of the 2007 Summer Bioengineering Conference, 279-280 (2007).

  173. Clark, J.V., Garmire, D., Last, M., Demmel, J., and Govindjee, S., ``Practical techniques for measureing MEMS properties," in Technical Proceedings NSTI Nanotech 2004, vol 1, 402-405 (2004).

  174. Govindjee, S., ``Finite Deformation Fracture of Tires," in Solid Mechanics and Its Applications: IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains, (2002).

  175. Govindjee, S. \& Hall, G.J., ``Computational aspects of solid-solid phase transformation modeling with a Gibbs functions," in Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, Vasundara V. Varadan, Editor, Proceedings of SPIE Vol. 3667, 302-313 (1999).

  176. Govindjee, S. & Kasper, E.P., ``Computational Aspects and Applications of One-Dimensional Shape Memory Alloy Modeling," Proceedings ASCE Engineering Mechanics Conference, San Diego, CA, 1070-1073, (1998).

  177. Naito, C., Lowes, L., Moehle, J., & Govindjee, S., ``Design of Innovative Reinforced Concrete Beam-Column Joints," Proceedings of the Second National Seismic Conference on Bridges and Highways, Sacramento, CA (July 1997).

  178. Kay, G.J., Govindjee, S., Laursen, T.A., & Maker, B., ``Development of Concrete Tensile Fracture and Concrete/Rebar Bond Strength Models," in Fracture Mechanics of Concrete Structures, Ed. Bazant, Z.P., Elsevier Applied Science, London, 849-852 (1992).

    Non-Refereed Publications: Book Chapters

  179. Harish, A.B., Taylor, R.L., and Govindjee S., ``A Poroelastic Element for FEAP Using AceGen", in Current Trends and Open Problems in Computational Mechanics, Eds. Aldakheel, F., Hudobivnik, B., Soleimani, M., Wessels, H., Weissenfels, C., Marino, M., Springer-Verlag, Berlin, 161-169 (2022).

  180. Mitchell, T.J., Govindjee, S., and Taylor, R.L., ``A Method for Enforcement of Dirichlet Boundary Conditions in Isogeometric Analysis", in Recent Developments and Innovative Applications in Computational Mechanics, Eds. D. Mueller-Hoeppe, S. Loehnert and S. Reese, Springer-Verlang, Berlin, 283-293 (2011).

  181. Govindjee, S., ``Numerical Issues in Finite Elasticity and Viscoelasticity," in Mechanics and Thermomechanics of Rubberlike Solids, Ed. G. Saccomandi & R.W. Ogden, Springer-Verlang, Wein-New York, 187-232 (2004).

    Non-Refereed Publications: Books

  182. Zienkiewicz, O.C., Taylor, R.L. and Govindjee, S., The Finite Element Method: Its Basis and Fundamentals, 8th Edition, Butterworth-Heinemann (Elsevier), London (2024). Oxford and Amazon

  183. Anand, L., Kamrin, K. and Govindjee, S., Introduction to Mechanics of Solid Materials, Oxford University Press, Oxford (2022). Available from Oxford and Amazon

  184. Anand, L. and Govindjee, S., Continuum Mechanics of Solids, Oxford University Press, Oxford (2020). Available from Oxford and Amazon

  185. Anand, L. and Govindjee, S., Example Problems for Continuum Mechanics of Solids, (2020). Available from Amazon

  186. Gross, D., Hauger, W., Schroeder, J., Wall, W.A., and Govindjee, S., Engineering Mechanics 3, Supplementary Problems: Dynamics, Amazon Digital Services (2015). Available from Amazon

  187. Gross, D., Hauger, W., Schroeder, J., Wall, W.A., and Govindjee, S., Engineering Mechanics 3: Dynamics, 2nd Edition, Springer-Verlag, Berlin (2014). Available from Amazon as well as directly from Springer in print as well as online with a library subscription.

  188. Govindjee, S., ``Engineering Mechanics of Deformable Solids: A Presentation with Exercises," Oxford University Press, Oxford (2013). Available in print from Amazon as well as directly from Oxford University Press (USA) and Oxford University Press (UK).

  189. Gross, D., Hauger, W., Schroeder, J., Wall, W.A., and Govindjee, S., ``Engineering Mechanics 3," Springer-Verlag, Berlin (2011).

    Non-Refereed Publications: Software

  190. Wang, Z., Chehade, A.E.H., Govindjee, S., Nguyen, T.D., Material point implementation for a nonlinear viscoelasticity theory for nematic liquid crystal elastomers, https://github.com/REX-ggwp/LCE_MaterialPointCalculation (2022).

  191. Wang, C, Govindjee, S, McKenna, F, Yu, S, Schoettler, M, Law, K., SimCenter Labeled Building Facades from Street View, DesignSafe-CI. https://doi.org/10.17603/ds2-z5ra-2260 (2021).

  192. Zhong, K., Gual, J., and Govindjee, S., PLoM python package v1.0, https://github.com/sanjayg0/PLoM (2021).

  193. Harish, A. B., Govindjee, S., McKenna, F., CFD Notebooks (Beginner), DesignSafe-CI. https://doi.org/10.17603/ds2-w2x6-nm09 (2020).

  194. Taylor, R.L. and Govindjee, S., FEAP -- A Finite Element Analysis Program: Version 8.6, University of California. https://projects.ce.berkeley.edu/feap (2020).

    Patents

  195. Raja, S.N., Zherebetskyy, D., Wu, S., Ercius, P., Olson, A.C.K., Alvisatos, P., Ritche, R.O., Govindjee, S., ``Mechanisms of Local Stress Sensing in Multifunctional Polymer Films Using Fluorescent Tetrapod Nanocrystals," Patent Number: US 10,429,256 B2, October 2019.

  196. Garmire, D., Choo, H., Muller, R.S., Demmel, J., and Govindjee, S., ``Integrated MEMS Metrology Device Using Complementary Measuring Combs," Patent Number: US 8,079,246 B2, December 2011.