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).

Technical Reports and Other Non-Referred 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.

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