Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes

International Journal of Plasticity

Volumn 18, Issue 1, 2002, Pages 91-126

  Ponthot, J P ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Large deformation; Numerical simulation; Unified stress update algorithms

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ELASTOPLASTICITY; INTEGRATION; METALS; PLASTIC DEFORMATION; VISCOPLASTICITY;

CONSTITUTIVE EQUATIONS;

PLASTICITY;

EID: 0036006518     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(00)00097-8     Document Type: Article

References (76)

1. Numerical analysis of coupled thermomechanical frictional contact problems. Computational model and applications
2. A primer on super plasticity in natural formulation
3. On the large strain inelastic analysis in natural formulation. Part I: Quasi-static problems
4. Incremental formulation in nonlinear mechanics and large strain elasto-plasticity - Natural approach. Part II
5. Thermomechanical response of solids at high strains - Natural approach
6. Incremental formulation in nonlinear mechanics and large strain elasto-plasticity - Natural approach. Part I
7. A priori stability estimates and unconditionally stable product algorithms for non linear coupled thermoplasticity
8. Fracture and crack growth by element-free Galerkin methods
9. Element-free Galerkin methods
10. A viscoplastic model with a smooth transition to describe rate-independent plasticity
11. A coupled thermomechanical model for the solidification of cast metals
12. Necking of a bar
13. An analysis of metal forming processes using large deformation elastic-plastic formulations
14. A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics
15. Some developments in the numerical simulation metal forming processes
16. A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
17. Imperfection sensitivity analysis of necking instability in circular cylindrical bars
18. Hypoelastic vs hyperelastic large strain elastoplastic models. Stress computation and hydrocode implementation
19. Use of hyperelastic J2 model in hydrocodes
20. New ALE applications in nonlinear fast transient solid dynamics
21. Numerical implementation of constitutive models: Rate-independent deviatroric plasticity
22. Unconditionally stable algorithms for quasi-static elasto/visco-plastic finite element analysis
23. Finite rotation effects in numerical intergration of rate constitutive equations arising in large-deformation analysis
24. A finite element procedure for the large deformation dynamics, response of axisymmetric solids
25. On an implementation of finite strain plasticity in transient dynamic large-deformation calcultation
26. Numerical implementation of inelastic time-dependent and time-independent finite strain constitutive equations in structural mechanics
27. Accuracies of numerical solution method for the elastic-perfectly plastic model
28. Elastic-plastic deformation at finite strains
29. The tensor code
30. On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity
31. On the implementation of inealstic constitutive equations with special reference to large deformation problems
32. Some computational aspects of elastic-plastic large strain analysis
33. On numerically accurate finite element solutions in the fully plastic range
34. A numerical study of necking in circular cylindrical bar
35. Decomposition of strain measures and their rates in finite deformation elastoplasticity
36. On finite de formation elasto-plasticity
37. Theoretical foundations of plasticity
38. A computer simulation of the tension test
39. Accuracy and stability of integration algorithms for elastoplastic constitutive relationships
40. An analysis of a new class of integration algorithms for elastoplastic constitutive relations
41. Endochronic simulation for finite viscoplastic deformation
42. Finite strain plasticity in convected frames
43. Fundamental problems visco-plasticity
44. Thermodynamic theory of plasticity
45. An extension of the radial return algorithm to account for rate-dependent effects in frictional contact and visco-plasticity
46. Arbitrary Lagrangian-Eulerian formulation for element-free Galerkin method
47. On the treatment of elastic deformation in finite elastic-viscoplastic theory
48. Necking of a cylindrical bar in tension
49. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decompositon: Part I. Continuum formulation
50. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part II. Computational aspects
51. Recent advances in the formulation and numerical analysis of thermoplasticity at finite strains
52. General return mapping algorithms for rate-independent plasticity
53. On continuum damage-elastoplasticity at finite strains
54. Associative coupled thermoplasticity at finite strains formulaton, numerical analysis and implementation
55. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equation
56. Consistent tangent operators for rate-independent elasto-plasticity
57. Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
58. Energy estimates in rate-type thermo-viscoplasticity
59. Some computational aspects of large deformation, rate dependent plasticity problems
60. Necking in tensile bars with rectangular cross-section
61. Calculation of elastoplastic flows
62. On the coupled thermo-mechanical treatment of necking problems via fem
63. A general procedure for the direct computation of turning and bifurcation point
64. On the numerical implementation of elastoplastic model