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Computational Solid Mechanics Lab

University of California, Berkeley

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Publications

Preprints

  • K.K. Mandadapu, B.E. Abali, and P. Papadopoulos. “On the Polar Nature and Invariance Properties of a Thermomechanical Theory for Continuum-on-Continuum Homogenization”, Math. Mech. Solids, , published online (2021).
  • M. Ntetsika and P. Papadopoulos. “A Hybrid Immersed Boundary/Coarse-Graining Method for Modeling Inextensible Semi-flexible Filaments in Thermally Fluctuating Fluids”, accepted in Comp. Mod. Engrg. Sci., , (2021).

Refereed Publications

  • G.L. Bergel and P. Papadopoulos. “A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Solids”, Comp. Mech., , 68, pp. 759-774, (2021).
  • S. Pande, P. Papadopoulos, and I. Babuška. “A Cut-cell Finite Element Method for Poisson’s Equation on Arbitrary Planar Domains”, Comp. Meth. Appl. Mech. Engrg., 383, 113875, (2021).
  • J. Wang and P. Papadopoulos. “Coupled Thermomechanical Analysis of Fused Deposition using the Finite Element Method”, Fin. Elem. Anal. Des., 197, 103607, (2021).
  • F. Sewerin and P. Papadopoulos. “On the Finite Element Solution of Frictionless Contact Problems using an Exact Penalty Approach”, Comp. Meth. Appl. Mech. Eng., 368, 113108, (2020).
  • T. Kaiser, J. Lu, A. Menzel, and P. Papadopoulos. “A Covariant Formulation of Finite Plasticity with Deformation-induced Evolution of Anisotropy: Modeling, Algorithmics, Simulation, and Comparison to Experiments”, Int. J. Sol. Struct., 185-186, pp. 116-142, (2020).
  • B.E. Abali, H. Yang, and P. Papadopoulos. “A Computational Approach for Determination of Parameters in Generalized Mechanics”, in H. Altenbach, W. Mueller and B. Abali (editors), Higher Gradient Materials and Related Generalized Continua, Advanced Structured Materials, 120, pp. 1-18, (2019) Springer-Verlag, Berlin
  • B. Mercer, E. Zywicz, and P. Papadopoulos. “A Molecular Dynamics-based Analysis of the Influence of Strain-rate and Temperature on the Mechanical Strength of PPTA Crystallites” , Polymer. , 129, pp. 92–104, (2017).
  • B. Mercer, E. Zywicz, and P. Papadopoulos. “Molecular Dynamics Modeling of PPTA Crystallite Mechanical Properties in the Presence of Defects” , Polymer. , 114, pp. 329–347, (2017).
  • S. Kshirsagar, K.K. Mandadapu, and P. Papadopoulos. “Classical Molecular Dynamics Simulations of Crystal Lattices with Truncated Taylor Series-based Interatomic Potentials” , Comp. Mat. Sci. , 120, pp. 127–134, (2016).
  • B. Mercer, K.K. Mandadapu, and P. Papadopoulos. “Homogenization of High-frequency Wave Propagation in Linearly Elastic Layered Media Using a Continuum Irving-Kirkwood Theory” , Int. J. Sol. Struct., 96, pp. 162-172, (2016).
  • Z. Xuan and P. Papadopoulos “Computing an Upper Bound on Contact Stress with Surrogate Duality” , Comp. Mech., 58, pp. 171-183, (2016).
  • Z. Chen, P. Papadopoulos, J. Li, and L. Zhang. “An Entropy-based Evaluation of Contact Forces in Continuum Mechanics of Elastic Structures” , Fin. Elem. Anal. Des., 114, pp. 78-84, (2016).
  • Q. Zhao and P. Papadopoulos. “Continuum Modeling and Simulation of Multiphase Diffusion through a Porous Solid” , Math. Mech. Sol., 20, pp. 251-267, (2015).
  • B. Mercer, K.K. Mandadapu and P. Papadopoulos “Novel Formulations of Microscopic Boundary-Value Problems in Continuous Multiscale Finite Element Methods” , Comp. Meth. Appl. Mech. Engrg., 286, pp. 268-292, (2015).
  • M.H. Ulz, K.K. Mandadapu and P. Papadopoulos. “On the Estimation of Spatial Averaging Volume for Determining Stress using Atomistic Methods” , Modelling Simul. Mater. Sci. Eng., 21, pp. 015010, (2013).
  • Q. Zhao and P. Papadopoulos. “Modeling and Simulation of Liquid Diffusion through a Porous Finitely Elastic Solid”, , Comp. Mech., 52, pp. 553-562, (2013).
  • A.J. Fields, S. Nawathe, S.K. Eswaran, M.G. Jekir, M.F. Adams, P. Papadopoulos, and T.M. Keaveny. “Vertebral Fragility and Structural Redundancy”, J. Bone Mineral Res., 27, pp. 2152-2158, (2012).
  • A. Sengupta, P. Papadopoulos and R.L. Taylor. “A Multiscale Finite-element Method for Modeling Fully-Coupled Thermomechanical Problems in Solids” , Int. J. Num. Meth. Engrg.., 21, pp. 1386-1405, (2012).
  • K.K Mandadapu, A. Sengupta and P. Papadopoulos. “A Homogenization Method for Thermomechanical Continua using Extensive Physical Quantities” , Proc. Royal. Soc. A, 468, pp. 1696-1715, (2012).
  • N. Hodge and P. Papadopoulos. “Continuum Modeling and Numerical Simulation of Cell Motility” , J. Math. Biology, 64, pp. 1253-1279, (2012).
  • A. Sengupta, P. Papadopoulos, A. Kueck and A.R. Pelton. “On Phase Transformation Models for Thermo-mechanically Coupled Response of Nitinol” , Comp. Mech., 48, pp. 213-227, (2011).
  • A. Sengupta and P. Papadopoulos. “A Note on the Use of the Multiplicative Decomposition for Displacive Phase Transformations” , Int. J. Engrg. Sci., 49, pp. 801-805, (2011).
  • P. Papadopoulos and N. Hodge. “On Surface Growth of Actin Networks” , Int. J. Engrg. Sci., 48, pp. 1498-1506, (2010).
  • N. Hodge and P. Papadopoulos. “A Continuum Theory of Surface Growth” , Proc. Royal Soc. London A., 466, pp. 3135-3152, (2010).
  • J.F. Wenk, P. Papadopoulos and T.I. Zohdi. “Numerical Modeling of Stress in Stenotic Arteries with Microcalcifications: A Micromechanical Approximation” , J. Biomech. Engrg., 132, pp. 091011-1-11, (2010).
  • K.K. Mandadapu, R.E. Jones and P. Papadopoulos. “A Homogeneous Non-Equilibrium Molecular Dynamics Method for Calculating the Heat Transport Coefficient of Mixtures and Alloys” , J. Chem. Phys., 133, pp. 034122-1-11, (2010).
  • C. Vignes and P. Papadopoulos. “Material Growth in Thermoelastic Continua: Theory, Algorithmics, and Simulation” , Comp. Meth. Appl. Mech. Engrg., 199, pp. 979-996, (2010).
  • K.K. Mandadapu, R.E. Jones and P. Papadopoulos. “Generalization of the Homogeneous Non-Equilibrium Molecular Dynamics Method for Calculating Thermal Conductivity to Multi-body Potentials” , Phys. Rev. E, 80, 047702-1-4, (2009).
  • A. Sengupta and P. Papadopoulos. “Constitutive modeling and finite element approximation of B2-R-B19′ phase transformations in Nitinol polycrystals” , Comp. Meth. Appl. Mech. Engrg., 198, pp. 3214-3227, (2009).
  • K.K. Mandadapu, R.E. Jones and P. Papadopoulos. “A Homogeneous Non-Equilibrium Molecular Dynamics Method for Calculating Thermal Conductivity with a Three-Body Potential” , J. Chem. Phys., 130, 204106-1-9, (2009).
  • A. Sengupta, R.L. Taylor and P. Papadopoulos. “Multiscale Finite Element Modeling of Superelasticity in Nitinol Polycrystals” , Comp. Mech., 43, pp. 573-584, (2009).
  • N. Rumigny, P. Papadopoulos and E. Polak. “Optimal Discretization Strategy for Boundary Element-based Shape Optimization Problem” , Comp. Meth. Appl. Mech. Engrg., 198, pp. 1902-1912, (2009).
  • G.-J. Lo and P. Papadopoulos. “A Large Scale Cosserat Point Contact/impact Formulation using Object-Oriented Programming” , J. Serbian Soc. Comp. Mech., 1, pp. 20-41, (2007).
  • S.K. Eswaran, H.H. Bayraktar, M.F. Adams, A. Gupta, P.F. Hoffmann, D.C. Lee, P. Papadopoulos and T.M. Keaveny. “The Micromechanics of Cortical Shell Removal in the Human Vertebral Body” , Comp. Meth. Appl. Mech. Engrg., 196, pp. 3025-3032, (2007).
  • A. Gupta, H.H. Bayraktar, J.C. Fox, T.M. Keaveny and P. Papadopoulos. “Constitutive Modeling and Algorithmic Implementation of a Plasticity-like Model for Trabecular Bone Structures”, Comp. Mech., 40, pp. 61-72, (2007).
  • N. Rumigny, P. Papadopoulos and E. Polak. “On the Use of Consistent Approximations in Boundary Element-based Shape Optimization in the Presence of Uncertainty”, Comp. Meth. Appl. Mech. Engrg., 196, pp. 3999-4010, (2007).
  • J.M. Solberg, R.E. Jones and P. Papadopoulos. “A Family of Simple Two-pass Dual Formulations for the Finite Element Solution of Contact Problems”, Comp. Meth. Appl. Mech. Engrg., 196, pp. 782-802, (2007).
  • G. Bevill, S.K. Eswaran, A. Gupta, P. Papadopoulos and T.M. Keaveny. “Influence of Bone Volume Fraction and Architecture on Computed Large Deformation Failure Mechanisms in Human Trabecular Bone” , Bone, 39, pp. 1218-1225, (2006).
  • R.E. Jones and P. Papadopoulos. “A Geometric Interpretation of Frictional Contact Mechanics”, Z. Angew. Math. Phys., 57, pp. 1025-1041, (2006).
  • B. Nadler, P. Papadopoulos and D.J. Steigmann. “Convexity of the Strain-Energy Function in a Two-Scale Model of Ideal Fabrics”, J. Elast., 84, pp. 223-244, (2006).
  • R.E. Jones and P. Papadopoulos. “Simulating Anisotropic Frictional Response using Smoothly Interpolated Traction Fields”, Comp. Meth. Appl. Mech. Engrg., 195, pp. 588-613, (2006).
  • B. Nadler, P. Papadopoulos and D.J. Steigmann. “Multi-scale Constitutive Modeling and Numerical Simulation of Fabric Material”, Int. J. Solids Struct., 43, pp. 206-221, (2006).
  • N.M. Kinkaid, O.M. O’Reilly and P. Papadopoulos. “On the Transient Dynamics of a Multi-degree-of-freedom Friction Oscillator: A New Mechanism for Disc Brake Noise”, J. Sound Vibr., 287, pp. 901-917, (2005).
  • J.M. Solberg and P. Papadopoulos. “An Analysis of Dual Formulations for the Finite Element Solution of Two-body Contact Problems”, Comp. Meth. Appl. Mech. Engrg., 194, pp. 2734-2780, (2005).
  • M.F. Adams, H.H. Bayraktar, T.M. Keaveny and P. Papadopoulos. “Ultrascalable Implicit Finite Element Analyses in Solid Mechanics with over Half a Billion Degrees of Freedom” , ACM/IEEE Proceedings of SC2004: High Performance Networking and Computing.
  • H.H. Bayraktar, A. Gupta, R.Y. Kwon, P. Papadopoulos and T.M. Keaveny. “The Modified Super-Ellipsoid Yield Criterion for Human Trabecular Bone ”, J. Biomech. Engrg., 126, pp. 677-684, (2004).
  • J. Lu and P. Papadopoulos. “A Covariant Formulation of Anisotropic Finite Plasticity: Theoretical Developments”, Comp. Meth. Appl. Mech. Engrg., 193, pp. 5339-5358, (2004).
  • Y. Jung, P. Papadopoulos and R.O. Ritchie. “Constitutive Modeling and Numerical Simulation of Multivariant Phase Transformation in Superelastic Shape-memory Alloys”, Int. J. Num. Meth Engrg., 60, pp. 429-460, (2004).
  • E. Kanso and P. Papadopoulos. “Pseudo-rigid Ball Impact on an Oscillating Rigid Foundation”, Int. J. Nonl. Mech., 39, pp. 1129-1145, (2004).
  • E. Kanso and P. Papadopoulos. “Dynamics of Pseudo-rigid Ball Impact on Rigid Foundation”, Int. J. Nonl. Mech., 39, pp. 299-309, (2004).
  • M.F. Adams, H.H. Bayraktar, T.M. Keaveny and P. Papadopoulos. “Applications of Algebraic Multigrid to Large-scale Finite Element Analysis of Whole Bone Micro-mechanics on the IBM SP”, ACM/IEEE Proceedings of SC2003: High Performance Networking and Computing.
  • J. Lu and P. Papadopoulos. “Referential Doyle-Ericksen Formulae for the Eshelby Tensor in Non-linear Elasticity”, Z. Angew. Math. Phys., 54, pp. 964-976. (2003).
  • N. M. Kinkaid, O. M. O’Reilly and P. Papadopoulos. “Automotive Disc Brake Squeal”, J. Sound Vibration, 267, pp. 105-166, (2003).
  • J.M. McNaney, V. Imbeni, Y. Jung, P. Papadopoulos and R.O. Ritchie. “An Experimental Study of the Superelastic Effect in a Shape-memory Alloy Under Biaxial Loading”, Mech. Mat., 35, pp. 969-986, (2003).
  • J. Casey and P. Papadopoulos. “Material Transport of Sets and Fields”, Math. Mech. Sol., 7, pp. 647-676, (2002).
  • L Lu and P. Papadopoulos. “An Incremental Formulation for Rate-independent Finite Rigid Plasticity”, Comm. Nonl. Sci. Num. Sim., 7, pp. 139-153, (2002).
  • P. Papadopoulos. “On a Class of Higher-order Pseudo-rigid Bodies”, Math. Mech. Sol., 6, pp. 631-640, (2001).
  • R.E. Jones and P. Papadopoulos. “On the Application of a Work Postulate to Frictional Contact”, Arch. Mech., 53, pp. 275-279, (2001).
  • R.E. Jones and P. Papadopoulos. “A Novel Three-Dimensional Contact Finite Element Based on Smooth Pressure Interpolations”, Int. J. Num. Meth. Engrg., 51, pp. 791-811, (2001).
  • P. Papadopoulos and J. Lu. “On the Formulation and Numerical Solution of Problems in Anisotropic Finite Plasticity”, Comp. Meth. Appl. Mech. Engrg., 190, pp. 4889-4910, (2001).
  • R.E. Jones and P. Papadopoulos. “A Yield-limited Lagrange Multiplier Formulation for Frictional Contact”, Int. J. Num. Meth. Engrg., 48, pp. 1127-1149, (2000).
  • J. Lu and P. Papadopoulos. “A Covariant Constitutive Description of Anisotropic Non-linear Elasticity”, Z. Angew. Math. Phys., 51, pp. 204-217, (2000).
  • J.M. Solberg and P. Papadopoulos. “Impact of an Elastic Pseudo-rigid Body on a Rigid Foundation”, Int. J. Engrg. Sci., 38, pp. 589-603, (2000).
  • P.C. Varadi, G.-J. Lo, O.M. O’Reilly and P. Papadopoulos. “A Novel Approach to Vehicle Dynamics using the Theory of a Cosserat Point and its Application to Collision Analyses of Platooning Vehicles”, Veh. Sys. Dyn., 32, pp. 85-108, (1999).
  • J.M. Solberg and P. Papadopoulos. “A Simple Finite Element-based Framework for the Analysis of Elastic Pseudo-rigid Bodies”, Int. J. Num. Meth. Engrg., 45, pp. 1297-1314, (1999).
  • P. Papadopoulos and J.M. Solberg. “A Lagrange Multiplier Method for the Finite Element Solution of Frictionless Contact Problems”, Math. Comp. Modelling, 28, pp. 373-384, (1998).
  • J.M. Solberg and P. Papadopoulos. “A Finite Element Method for Contact/impact”, Fin. Elem. Anal. Des., 30, pp. 297-311, (1998).
  • J. Lu and P. Papadopoulos. “Representations of Kronecker Power of Orthogonal Tensors with Application to Material Symmetry”, Int. J. Solids Struct., 35, pp. 3935-44, (1998).
  • P. Papadopoulos and J. Lu. “A General Framework for the Numerical Solution of Problems in Finite Elasto-Plasticity”, Comp. Meth. Appl. Mech. Engr., 159, pp. 1-18, (1998).
  • J. Lu and P. Papadopoulos. “On the Direct Determination of the Rotation Tensor from the Deformation Gradient”, Math. Mech. Sol., 2, pp. 17-26, (1997).
  • P. Papadopoulos and R.L. Taylor. “A Generalized Newton Method for Higher-order Accurate Finite Element Approximations in Non-linear Elasticity”, Int. J. Num. Meth. Engr., 39, pp. 2635-2646, (1996).
  • P. Papadopoulos, R.E. Jones, and J.M. Solberg. “A Novel Finite Element Formulation For Frictionless Contact Problems”, Int. J. Num. Meth. Engr., 38, pp. 2603-2617, (1995).
  • P. Papadopoulos and R.L. Taylor. “On the Loading/Unloading Conditions of Infinitesimal Discrete Elastoplasticity”, Engrg. Comp., 12, pp. 373-383, (1995).
  • P. Papadopoulos and R.L. Taylor. “On the Application of Multi-step Integration Methods to Infinitesimal Elastoplasticity”, Int. J. Num. Meth. Engr. 37, pp. 3169-3184, (1994).
  • R.L. Taylor and P. Papadopoulos. “On a Finite Element Method for Dynamic Contact/Impact Problems”, Int. J. Num. Meth. Engr. 36, pp. 2123-2140, (1993).
  • P. Papadopoulos and R .L. Taylor. “A Simple Algorithm for Three-dimensional Finite Element Analysis of Contact Problems”, Comp. Struct. 46, pp. 1107-1118, (1993).
  • P. Papadopoulos and R.L. Taylor. “A Mixed Formulation for the Finite Element Solution of Contact Problems”, Comp. Meth. Appl. Mech. Engr. 94, pp. 373-389, (1992).
  • P. Papadopoulos and R.L. Taylor. “An Analysis of Inelastic Reissner-Mindlin Plates”, Fin. Elem. Anal. Des. 10, pp. 221-233, (1991).
  • P. Papadopoulos and R.L. Taylor. “A Triangular Element Based on Reissner-Mindlin Plate Theory”, Int. J. Num. Meth. Engr. 30, pp. 1029-1049, (1990).
  • P. Papadopoulos and R.L. Taylor. “An Elasto-Plastic Analysis of Reissner-Mindlin Plates”, Appl. Mech. Rev. 2, pp. 41-50, (1990).
  • O. C. Zienkiewicz, R.L. Taylor, P. Papadopoulos and E. Oñate. “Plate Bending Elements with Discrete Constraints: New Triangular Elements”, Comp. Struct. 4, pp. 505-522, (1990).

Refereed Publications

  • O.M. O’Reilly, P. Papadopoulos, G.-J. Lo and P.C. Varadi. “Models of Vehicular Collision: Development and Simulation with Emphasis on Safety. IV: An Improved Algorithm for Detecting Contact Between Vehicles”, California PATH Research Report UCB-ITS-PRR 98-X, 1998.
  • O.M. O’Reilly, P. Papadopoulos, G.-J. Lo and P.C. Varadi. “Models of Vehicular Collision: Development and Simulation with Emphasis on Safety. III: Computer Code, Programmer’s Guide and User’s Manual for MEDUSA”, California PATH Research Report UCB-ITS-PRR 98-10, 1998.
  • P. Papadopoulos, J.M. Solberg. “A Hamiltonian Formulation for Dynamic Contact Between Finitely Deforming Elastic Solids”, in Advances in Computational Engineering Science, S.N. Atluri and G. Yagawa editors, pp.~1098-1103, Tech Science Press, Forsyth, (1997).
  • O.M. O’Reilly, P. Papadopoulos, G.-J. Lo and P.C. Varadi. “Models of Vehicular Collision: Development and Simulation with Emphasis on Safety. II: On the Modeling of Collision between Vehicles in a Platoon System”, California PATH Research Report UCB-ITS-PRR 97-34, 1997.
  • O.M. O’Reilly, P. Papadopoulos, G.-J. Lo and P.C. Varadi. “Models of Vehicular Collision: Development and Simulation with Emphasis on Safety. I: Development of a Model for a Single Vehicle”, California PATH Report UCB-ITS-PRR-97-15, 1997.
  • P. Papadopoulos and R.E. Jones. “On a Class of Finite Elements for Frictionless Contact Problems”, Recent Developments in Finite Element Analysis, T.J.R. Hughes, E. Oñate and O.C. Zienkiewicz editors, pp. 246-254, Springer-Verlag/CIMNE, Barcelona, 1994.
  • R.L. Taylor and P. Papadopoulos. “On a Finite Element Method for Dynamic Contact/Impact Problems”, Finite Elements in the 90’s , E. Oñate, J. Periaux and A. Samuelson editors, pp. 212-224, Springer-Verlag/CIMNE, Barcelona, 1991.
  • R.L. Taylor and P. Papadopoulos. “On a Patch Test for Contact Problems in Two Dimensions”, Nonlinear Computational Mechanics, P. Wriggers and W. Wagner editors, pp. 690-702, Springer-Verlag, Berlin, 1991.