Preprints
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.