Large simple shear and torsion problems in kinematic hardening elasto-plasticity with logarithmic rate

International Journal of Solids and Structures

Volumn 38, Issue 48-49, 2001, Pages 8701-8722

  Bruhns, O T ^a   Xiao, H ^a   Meyers, A ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Analytical perturbation solution; Elastic plastic material; Finite strain; Kinematic hardening; Logarithmic rate; Shear and torsion

Indexed keywords

HARDENING; KINEMATICS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; SHEAR DEFORMATION; STRESS ANALYSIS; TENSORS; TORSIONAL STRESS;

KINEMATIC HARDENING; STRESS RESPONSES;

ELASTOPLASTICITY;

ELASTOPLASTICITY;

EID: 0035900551     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(01)00068-3     Document Type: Article

References (48)

1. The theory of elastic-plastic deformation at finite strain with induced anisotropy modeled as combined isotropic-kinematical hardening
2. On Hencky's approximate strain-energy function for moderate deformations
3. Moderate deformations in extension-torsion of incompressible isotropic elastic materials
4. On constitutive relations at finite strain: Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardening
5. Non-linear mechanical response of various metals: II permanent length changes in twisted tubes
6. On the descriptions of cyclic deformation processes using a more general elastoplastic constitutive law
7. Self-consistent Eulerian rate type elasto-plasticity model based upon the logarithmic stress rate
8. Hencky's elasticity model with the logarithmic strain: A study on Poynting effect and stress response in torsion of tubes and rods
9. Distortional and orientational hardening at large viscoplastic deformations
10. Corotational rates for kinematic hardening at large plastic deformations
11. Orientational evolution of plastic orthotropy in sheet metals
12. On the analysis of rotation and stress rate in deforming bodies
13. On the kinematic hardening and large plastic deformations
14. A discussion of stress rates in finite deformation problems
15. Interpretation of the behavior of metals under large plastic shear deformations: A macroscopic approach
16. Interpretation of the behavior of metals under large plastic shear deformations: Comparison of macroscopic predictions to physically based predictions
17. Forming limit diagrams for anisotropic metals sheets with different yield criteria
18. Stress analysis for anisotropic hardening in finite deformation plasticity
19. Anisotrope plastische Formänderungen
20. Einige Bemerkungen zu einer allgemeinen Klasse von Stoffgesetzen für große elastoplastische Formänderungen
21. On the effect of plastic rotation in the finite deformation of anisotropic elastoplastic materials
22. Simple shear of a strain-hardening hollow circular cylinder
23. Comments on induced anisotropy, the Swift effect, and finite deformation inelasticity
24. Corotational rates in constitutive modelling of elastic-plastic deformation
25. Axial stress and texture development during the torsion testing of Al, Cu and α-Fe
26. On instabilities in large deformation simple shear loading
27. Some aspects of non-isotropic work-hardening in finite strain plasticity
28. Phenomenological constitutive laws in finite plasticity
29. On finite plastic flow of crystalline solids and geomaterials
30. Phenomenological theories of elasto-plasticity and strain localization at high strain rates
31. On anisotropic finite deformation plasticity
32. On anisotropic finite deformation plasticity
33. Study of corotational rates for kinematic hardening in finite deformation plasticity
34. Constitutive modeling and computational implementation for finite strain plasticity
35. Remarks on rate constitutive equations for finite deformation problem: Computational implications
36. Comparison of stress rates
37. On the hypoelastic-idealplastic constitutive model
38. A stress rate measure for finite elastic plastic deformation
39. Logarithmic strain, logarithmic spin and logarithmic rate
40. Hypo-elasticity model based upon the logarithmic stress rate
41. On objective corotational rates and their defining spin tensors
42. Strain rates and material spins
43. t* = λ(trD)1 + 2μD of grade zero and its significance to finite inelasticity
44. Objective corotational rates and shear oscillation
45. On the concept of relative and plastic spins and its implications to large deformation theories
46. On the concept of relative and plastic spins to large deformaiton theories