WARP3D-Release 10.8: Dynamic Nonlinear Analysis of Solids using a Preconditioned Conjugate Gradient Software Architecture

U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering. Contract No. N61533-92-K-0030

[1]  Brian E. Healy,et al.  Applications of Parallel and Vector Algorithms in Nonlinear Structural Dynamics Using the Finite Element Method , 1992 .

[2]  Thomas J. R. Hughes,et al.  LARGE-SCALE VECTORIZED IMPLICIT CALCULATIONS IN SOLID MECHANICS ON A CRAY X-MP/48 UTILIZING EBE PRECONDITIONED CONJUGATE GRADIENTS. , 1986 .

[3]  J. Rice,et al.  Conservation Laws and Energy-Release Rates , 1973 .

[4]  J. C. Simo,et al.  Consistent tangent operators for rate-independent elastoplasticity☆ , 1985 .

[5]  O C Zienkiewicz,et al.  The finite element method, fourth edition; volume 1: basic formulation and linear problems , 1994 .

[6]  Fe Frans Veldpaus,et al.  On the implementation of finite strain plasticity equations in a numerical model , 1984 .

[7]  M. Ortiz,et al.  Formulation of implicit finite element methods for multiplicative finite deformation plasticity , 1990 .

[8]  J. Dienes On the analysis of rotation and stress rate in deforming bodies , 1979 .

[9]  J. D. Eshelby Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics , 1999 .

[10]  T. K. Hellen On the method of virtual crack extensions , 1975 .

[11]  T. Hughes Generalization of selective integration procedures to anisotropic and nonlinear media , 1980 .

[12]  G. Carey,et al.  Element‐by‐element linear and nonlinear solution schemes , 1986 .

[13]  T. Hughes,et al.  An element-by-element solution algorithm for problems of structural and solid mechanics , 1983 .

[14]  P. M. Naghdi,et al.  SOME REMARKS ON ELASTIC-PLASTIC DEFORMATION AT FINITE STRAIN , 1971 .

[15]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[16]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[17]  J. Rice,et al.  Plane strain deformation near a crack tip in a power-law hardening material , 1967 .

[18]  S. Atluri,et al.  CALCULATION OF FRACTURE MECHANICS PARAMETERS FOR AN ARBITRARY THREE-DIMENSIONAL CRACK, BY THE ‘EQUIVALENT DOMAIN INTEGRAL’ METHOD , 1987 .

[19]  S. Atluri On constitutive relations at finite strain: Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardening , 1984 .

[20]  Brian Moran,et al.  Crack tip and associated domain integrals from momentum and energy balance , 1987 .

[21]  A. Needleman,et al.  Void Nucleation Effects in Biaxially Stretched Sheets , 1980 .

[22]  D. Flanagan,et al.  PRONTO 3D: A three-dimensional transient solid dynamics program , 1989 .

[23]  J. Nagtegaal On the implementation of inelastic constitutive equations with special reference to large deformation problems , 1982 .

[24]  D. Parks The virtual crack extension method for nonlinear material behavior , 1977 .

[25]  A. Bakker The three-dimensional J-integral: an investigation into its use for post-yield fracture safety assessment , 1984 .

[26]  P. M. Naghdi,et al.  A general theory of an elastic-plastic continuum , 1965 .

[27]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[28]  Sheri Sheppard,et al.  The Relationship Between Constraint and Ductile Fracture Initiation as Defined by Micromechanical Analyses , 1995 .

[29]  R. F. Kulak,et al.  Accurate Numerical Solutions for Elastic-Plastic Models , 1979 .

[30]  D. T. Read,et al.  Comparison of several path independent integrals including plasticity effects , 1986 .

[31]  G. Johnson,et al.  A discussion of stress rates in finite deformation problems , 1984 .

[32]  A. Needleman,et al.  A COMPARISON OF METHODS FOR CALCULATING ENERGY RELEASE RATES , 1985 .

[33]  Milos Kojic,et al.  Studies of finite element procedures—Stress solution of a closed elastic strain path with stretching and shearing using the updated Lagrangian Jaumann formulation , 1987 .

[34]  D. Flanagan,et al.  An accurate numerical algorithm for stress integration with finite rotations , 1987 .

[35]  Ted Belytschko,et al.  On the Unconditional Stability of an Implicit Algorithm for Nonlinear Structural Dynamics , 1975 .

[36]  R. H. Dodds Numerical techniques for plasticity computations in finite element analysis , 1987 .

[37]  M. Keppel,et al.  Improved numerical techniques for plasticity computations in finite element analysis , 1990 .

[38]  T. Hughes,et al.  Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis , 1980 .

[39]  A. Gurson Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[40]  O. Zienkiewicz,et al.  A note on mass lumping and related processes in the finite element method , 1976 .

[41]  Satya N. Atluri,et al.  Objectivity of incremental constitutive relations over finite time steps in computational finite deformation analyses , 1983 .

[42]  M. Ortiz,et al.  A material‐independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics , 1992 .

[43]  B. Moran,et al.  A general treatment of crack tip contour integrals , 1987 .

[44]  N. Aravas On the numerical integration of a class of pressure-dependent plasticity models , 1987 .

[45]  J. C. Rice,et al.  On numerically accurate finite element solutions in the fully plastic range , 1990 .

[46]  R. D. Krieg,et al.  On the numerical implementation of inelastic time dependent and time independent, finite strain constitutive equations in structural mechanics☆ , 1982 .

[47]  Brian Moran,et al.  Energy release rate along a three-dimensional crack front in a thermally stressed body , 1986, International Journal of Fracture.

[48]  Donald E. Carlson,et al.  Determination of the stretch and rotation in the polar decomposition of the deformation gradient , 1984 .

[49]  D. P. Flanagan,et al.  Structuring data for concurrent vectorized processing in a transient dynamics finite element program , 1987 .