Preprints

• 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'' , to appear in Bone.

Refereed Publications

• 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).

• 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'', Eng. 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. Onate. ``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. Onate 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. Onate, 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.