Modeling of impact problems using an h-adaptive, explicit Lagrangian finite element method in three dimensions

[1]  Geoffrey Ingram Taylor,et al.  The use of flat-ended projectiles for determining dynamic yield stress I. Theoretical considerations , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  R. D. Richtmyer,et al.  A Method for the Numerical Calculation of Hydrodynamic Shocks , 1950 .

[3]  Joseph M. Krafft,et al.  Surface Friction in Ballistic Penetration , 1955 .

[4]  M. Wilkins Calculation of Elastic-Plastic Flow , 1963 .

[5]  R. D. Krieg,et al.  Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model , 1977 .

[6]  T. Belytschko,et al.  A uniform strain hexahedron and quadrilateral with orthogonal hourglass control , 1981 .

[7]  Ted Belytschko,et al.  Eigenvalues and Stable Time Steps for the Uniform Strain Hexahedron and Quadrilateral , 1984 .

[8]  David J. Benson,et al.  Sliding interfaces with contact-impact in large-scale Lagrangian computations , 1985 .

[9]  O. C. Zienkiewicz,et al.  A simple error estimator and adaptive procedure for practical engineerng analysis , 1987 .

[10]  G. R. Johnson,et al.  Eroding interface and improved tetrahedral element algorithms for high-velocity impact computations in three dimensions , 1987 .

[11]  Gregory M. Hulbert,et al.  New Methods in Transient Analysis , 1992 .

[12]  G. R. Johnson,et al.  Some parametric sensitivity analyses for high velocity impact computations , 1992 .

[13]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[14]  R. G. Whirley,et al.  Slidesurfaces with Adaptive New Definitions (SAND) for transient analysis , 1992 .

[15]  D. Benson Computational methods in Lagrangian and Eulerian hydrocodes , 1992 .

[16]  T. Belytschko,et al.  H-adaptive finite element methods for dynamic problems, with emphasis on localization , 1993 .

[17]  O. C. Zienkiewicz,et al.  Superconvergent patch recovery techniques – some further tests , 1993 .

[18]  Z. Zhong Finite Element Procedures for Contact-Impact Problems , 1993 .

[19]  Martin W. Heinstein,et al.  A general-purpose contact detection algorithm for nonlinear structural analysis codes , 1993 .

[20]  M. Ortiz,et al.  Computational modelling of impact damage in brittle materials , 1996 .

[21]  M. Ortiz,et al.  Adaptive Lagrangian modelling of ballistic penetration of metallic targets , 1997 .

[22]  Peter Wriggers,et al.  Different a posteriori error estimators and indicators for contact problems , 1998 .

[23]  Michael Ortiz,et al.  Error estimation and adaptive meshing in strongly nonlinear dynamic problems , 1999 .

[24]  H. Espinosa,et al.  Adaptive FEM computation of geometric and material nonlinearities with application to brittle failure , 1998 .

[25]  FRICTION IN HIGH-SPEED IMPACT EXPERIMENTS , 1999 .

[26]  An examination of the taylor impact problem for experiments involving square and circular rods , 2001 .