Application of the concept of evolving structure tensors to the modeling of initial and induced anisotropy at large deformation
| Autor: | Stefanie Reese, F. Reusch, B. Svendsen, J. Wang, Vladislav Levkovitch |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Materials science
Mechanical Engineering Constitutive equation Isotropy Plasticity Strain hardening exponent Orthotropic material Computer Science Applications Cauchy elastic material Classical mechanics Modeling and Simulation Phenomenological model General Materials Science Anisotropy Civil and Structural Engineering |
| Zdroj: | Computers & Structures. 84:1077-1085 |
| ISSN: | 0045-7949 |
| DOI: | 10.1016/j.compstruc.2006.01.037 |
| Popis: | In this work, a thermodynamic approach to the modeling and simulation of induced elastic and inelastic material behaviour in the phenomenological realm as based on the concept of evolving structure tensors is discussed. From the constitutive point of view, these quantities determine the material symmetry properties. In addition, the stress and other dependent constitutive fields are isotropic functions of these by definition. The evolution of these during loading then results in an evolution of the anisotropy of the material. From an algorithmic point of view, the current approach leads to constitutive models which are quite amenable to numerical implementation. To demonstrate the applicability of the resulting constitutive formulation, we apply it to the cases of (i) metal plasticity with combined hardening involving both deformation- and permanently induced anisotropy relevant to the modeling of processes such as metal forming, and to (ii) deformation-induced anisotropy in an initially orthotropic pneumatic membrane consisting of a rubber matrix and nylon fibres. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect