Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticity

International Journal of Solids and Structures

Volumn 38, Issue 17, 2001, Pages 2969-2987

  Liu, Chein Shan ^a,c   Hong, Hong Ki ^b  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^c NONE   (Taiwan)

Author keywords

Lie algebra isomorphism; Objective corotational stress rates; Perfect elastoplasticity; Sturm comparison theorem; Sturm majorant

Indexed keywords

DIFFERENTIAL EQUATIONS; ELASTOPLASTICITY; NONLINEAR EQUATIONS; STRESS ANALYSIS; THEOREM PROVING;

LINEAR DIFFERENTIAL EQUATIONS; STURM COMPARISON THEOREM; STURM-LIOUVILLE EQUATIONS;

STRUCTURAL ANALYSIS;

ELASTOPLASTICITY;

EID: 0035819814     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(00)00214-6     Document Type: Article

References (21)

1. On constitutive relations at finite strain: Hypoelasticity and elastoplasticity with isotropic or kinematic hardening
2. Self-consistent Eulerian rate type elastoplasticity models based upon the logarithmic stress rate
3. On the analysis of rotation and stress rate in deforming bodies
4. A general theory of an elastic-plastic continuum
5. o(5,1) for perfect elastoplasticity with large deformation and a consistency scheme
6. Internal symmetry in the constitutive model of perfect elastoplasticity
7. Geschlossenes system physikalischer und chemischer differentialgesetze. sitzber
8. A. discussion of stress rates in finite deformation problems
9. Stress analysis for anisotropic hardening in finite-deformation plasticity
10. The conjugacy between Cauchy stress and logarithn of the left stretch tensor
11. Non-oscillation criteria for hypoelastic models under simple shear deformation
12. Corotational rates in constitutive modeling of elastic-plastic deformation
13. On instabilities in large deformation simple shear loading
14. Some aspects of non-isotropic work-hardening in finite strain plasticity
15. Coordinate-independent representation of spins in continuum mechanics
16. Rotations, stress rate and strain measures in homogeneous deformation processes
17. Comparison of some stress rates
18. Hypoelasticity model pased upon the logarithmic stress rate
19. Logarithmic strain, logarithmic spin and lograrithminc rate
20. Objective corotational rates and shear oscillation