Accurate stress updating algorithm based on constant strain rate assumption

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 42, 2001, Pages 5583-5601

  Wallin, Mathias ^a   Ristinmaa, Matti ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

Nonlinear mechanics; Numerical solution procedures; Plasticity

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; PLASTICITY; PROBLEM SOLVING; STRAIN RATE;

CONSTITUTIVE EQUATIONS;

STRESSES;

ALGORITHM; NON-LINEAR DYNAMICS; STIFFNESS; STRAIN; STRESS;

EID: 0035800455     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00185-2     Document Type: Article

References (29)

1. On mixed and displacement finite element methods in prefect elasto-plasticity
2. Consistent tangent operators for rate-independent elasto-plasticity
3. Consistent stiffness matrix in fe calculations of elasto-plastic bodies
4. Accuracy and stability of integration algorithms for elasto-plastic constitutive relations
5. Numerical technique in plasticity including solution advancement control
6. On the application of multi-step integration methods to infinitesimal elastoplasticity
7. An efficient and accurate iterative method allowing large incremental steps to solve elasto-plastic problems
8. Nonlinear subincremental method for determination of elastic-plastic-creep behaviour
9. Substepping schemes for the numerical integration of elastoplastic stress-strain relations
10. Integration of Tresca and Mohr-Coulomb constitutive relations in plane strain elastoplasticity
11. Calculation of elasto-plastic flow
12. Implementation of a time independent plasticity theory into structural computer programs
13. Accuracies of numerical solution methods for elastic-perfectly plastic model
14. A comparison of viscoplasticity formats and algorithms
15. On the implementation of inelastic constitutive equations with special reference to large deformation problems
16. Numerical treatment of elasto-plastic equations in finite element calculations
17. On the numerical implementation of elastoplastic models
18. Exact integration of constitutive equations in elasto-plasticity
19. A family of embedded Runge-Kutta formulae
20. Thermodynamics with internal state variables
21. Comparing numerical methods for ordinary differential equations
22. Adaptive routines for forming Jacobians numerically
23. A 3(2) pair of Runge-Kutta formulas