The exact derivative of the exponential of an unsymmetric tensor

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 18-19, 2001, Pages 2377-2383

  De Souza Neto, E A ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Consistent linearisation; Exponential map; Single crystal plasticity; Tensor exponential function

Indexed keywords

ANISOTROPY; COMPUTATIONAL COMPLEXITY; PLASTICITY;

UNSYMMETRIC TENSORS;

TENSORS;

PLASTICITY;

EID: 0035910291     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00241-3     Document Type: Article

References (11)

1. Discrete micromechanics of elastoplastic crystals
2. A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics
3. A hyperelastic based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
4. Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals
5. Multisurface thermoplasticity for single crystals at large strains in terms of eulerian vector updates
6. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
7. Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
8. Continuum modelling and numerical simulation of material damage at finite strains
9. On the numerical treatment and analysis of finite deformation ductile single crystal plasticity
10. Finite deformation constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids