Energy consistent algorithms for dynamic finite deformation plasticity

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 15-16, 2002, Pages 1639-1675

  Meng, X N ^a   Laursen, T A ^a  

^a Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DEFORMATION; EQUATIONS OF MOTION; STRAIN; THERMODYNAMICS;

ENERGY CONSISTENCY;

ELASTOPLASTICITY;

PLASTICITY;

EID: 0036470959     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00349-8     Document Type: Article

References (47)

1. A new dissipative time-stepping algorithm for frictional contact problems: Formulation and analysis
2. Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems
3. A priori stability estimates and unconditionally stable product formula algorithms for nonlinear couple thermoplasticity
4. Micromechanics of crystals and polycrystals
5. A prescription for the identification of finite plastic strain
6. Further constitutive results in finite plasticity
7. p in plasticity
8. Energy consistent algorithms for frictional contact problems
9. Dynamics of 3-D co-rotational beams
10. A time integration algorithm form structural dynamics with improved numerical dissipation: The generalized-x method
11. A hyperelastic based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
12. Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
13. Some remarks on elastic-plastic deformation at finite strain
14. A general theory of elastic-plastic continuum
15. Improved numerical dissipation for time integration algorithms in structural dynamics
16. Finite element methods for nonlinear elastodynamics which conserve energy
17. Generalized energy-momentum method for non-linear adaptive shell dynamics
18. Energy-conserving and decaying algorithms in non-linear structural dynamics
19. Constraint energy momentum algorithm and its application to non-linear dynamics of shells
20. Improved implicit integrators for transient impact problems - Geometric admissibility within the conserving framework
21. Design of energy conserving algorithms for frictionless dynamic contact problems
22. A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics
23. Elastic-plastic deformation at finite strains
24. Normality rules in large deformation plasticity
25. Thermodynamics and plasticity
26. A method of computation for structural dynamics
27. Formulation of implicit finite element methods for multiplicative finite deformation plasticity
28. Restrictions on constitutive equations of finitely deformed elastic plastic materials
29. On finite deformation elasto-plasticity
30. A general framework for the numerical solution of problems in finite elasto-plasticity
31. Exact energy-momentum algorithms for the dynamics of nonlinear rods
32. A new energy and momentum conserving algorithms for the nonlinear dynamics of shells
33. The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
34. Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
35. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
36. Quasi-incompressible finite elasticity in principle stretches. Continuum basis and numerical algorithms
37. A frame work for finite strain plasticity based on maximum plastic dissipation and the multiplicative decomposition: Part II. Computational aspects
38. A frame work for finite strain plasticity based on maximum plastic dissipation and the multiplicative decomposition: Part I. Continuum formulation
39. On the computational significance of the intermediate configuration and hyperelastic stress relations in finite deformation elastoplasticity
40. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive relations
41. Variational and projection methods for the volume constraint in finite deformation elastoplasticity
42. An energy conserving co-rotational procedure for the dynamics of shell structures