Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity

Acta Mechanica

Volumn 157, Issue 1-4, 2002, Pages 51-60

  Xiao, H ^a   Chen, L S ^b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b NANCHANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS; STIFFNESS; STRAIN; STRESSES; TENSORS;

CAUCHY STRESS TENSOR; HENCKY STRAIN TENSOR; KIRCHHOFF STRESS TENSOR;

ELASTICITY;

EID: 0036376038     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01182154     Document Type: Article

References (25)

1. The nonlinear field theories of mechanics
2. Nonlinear elastic deformations
3. Über die Form des Elastizitätsgesetzes bei ideal elastischen Stoffen
4. The law of elasticity for isotropic and quasi-isotropic substances by finite deformations
5. The elastic behavior of vulcanized rubber
6. Large elastic deformations of isotropic materials. Parts I-III. Phil
7. Generalized strain measure with applications to physical problems. In: Second-order effects in elasticity, plasticity and fluid dynamics
8. Aspects of invariance in solid mechanics
9. Linear stress-strain relations in nonlinear elasticity
10. Generalized strain and stress measures: Critical survey and new results
11. A tensorial Hencky measure of strain and strain rate for finite deformations
12. Self-consistent eulerian rate type elastoplasticity models based upon the logarithmic stress rate
13. The Hencky model of elasticity: A study on poynting effect and stress response in torsion of tubes and rods
14. Hypo-elasticity model based upon the logarithmic stress rate
15. Remarks on rate constitutive equations for finite deformation problem: Computational implications
16. Existence and uniqueness of the integrable-exactly hypoelastic equation τ̊* = λ(trD) 1 + 2 μD and its significance to finite inelasticity
17. A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient
18. The choice of objective rates in finite elastoplasticity: General results on the uniqueness of the logarithmic rate
19. Logarithmic strain, logarithmic spin and logarithmic rate
20. On the consistency of some Eulerian strain rates
21. Nonlinear elasticity
22. Objective corotational rates and unified work-conjugacy relation between Eulerian and Lagrangean strain and stress measures
23. On H. Hencky's approximate strain-energy function for moderate deformations
24. Moderate deformations in extension-torsion of incompressible isotropic elastic materials
25. Constitutive inequalities for an isotropic elastic strain energy function based on Hencky's logarithmic strain tensor