Perspectives of Non-Linear Simulation

This paper gives an overview of the current state of non-linear finite element computer programs in relation to the analysis of structures. In addition, it concentrates on two specific areas, namely the introduction of techniques for adaptive re-meshing and the simulation of the propagation of delamination.

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

[2]  René de Borst,et al.  Gradient-dependent plasticity: formulation and algorithmic aspects , 1992 .

[3]  M. A. Crisfield,et al.  Re‐visiting the contact patch test , 2000 .

[4]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

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

[6]  Gordan Jelenić,et al.  Enhanced lower-order element formulations for large strains , 1995 .

[7]  M. Crisfield,et al.  A co‐rotational element/time‐integration strategy for non‐linear dynamics , 1994 .

[8]  A. Needleman.  An analysis of decohesion along an imperfect interface , 1990 .

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

[10]  Z. Bažant,et al.  Stability Of Structures , 1991 .

[11]  M. A. Crisfield,et al.  Progressive Delamination Using Interface Elements , 1998 .

[12]  X. Peng,et al.  A consistent co‐rotational formulation for shells using the constant stress/constant moment triangle , 1992 .

[13]  David J. Silvester.  Optimal low order finite element methods for incompressible flow , 1994 .

[14]  M. Crisfield,et al.  Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues , 2001 .

[15]  A. Curnier,et al.  Geometric properties of 2D and 3D unilateral large slip contact operators , 1996 .

[16]  Zdenek P. Bazant,et al.  Instability, Ductility, and Size Effect in Strain-Softening Concrete , 1978 .

[17]  J. C. Simo,et al.  The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics , 1992 .

[18]  I. Raju.  Calculation of strain-energy release rates with higher order and singular finite elements , 1987 .

[19]  J. Reeder,et al.  An Evaluation of Mixed-Mode Delamination Failure Criteria , 1992 .

[20]  Ted Belytschko,et al.  A survey of numerical methods and computer programs for dynamic structural analysis , 1976 .

[21]  L S D Morley,et al.  The constant-moment plate-bending element , 1971 .

[22]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .