Deformation gradient based kinematic hardening model

Summary, in English

A kinematic hardening model applicable to finite strains is presented. The kinematic hardening concept is based on the residual stresses that evolve due to different obstacles that are present in a polycrystalline material, such as grain boundaries, cross slips, etc. Since these residual stresses are a manifestation of the distortion of the crystal lattice a corresponding deformation gradient is introduced to represent this distortion. The residual stresses are interpreted in terms of the form of a back-stress tensor, i.e. the kinematic hardening model is based on a deformation gradient which determines the back-stress tensor. A set of evolution equations is used to describe the evolution of the deforrnation gradient. Non-dissipative quantities are allowed in the model and the implications of these are discussed. Von Mises plasticity for which the uniaxial stress-strain relation can be obtained in closed form serves as a model problem. For uniaxial loading, this model yields: a kinematic hardening identical to the hardening produced by isotropic exponential hardening. The numerical implementation of the model is discussed. Finite element simulations showing the capabilities of the model are presented.

• Author: Mathias Wallin; Matti Ristinmaa
• Department/s: Solid Mechanics
• Publishing year: 2005
• Language: English
• Pages: 2025-2050
• Publication/Series: International Journal of Plasticity
• Volume: 21
• Issue: 10
• Links: http://dx.doi.org/10.1016/j.ijplas.2005.01.007
• Document type: Journal article
• Publisher: Elsevier
• Topic: Mechanical Engineering
• Keywords: finite strain plasticity; non-linear kinematic hardening; exponential; update
• Status: Published
• ISBN/ISSN/Other: ISSN: 0749-6419