A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity

Steinmann, P. (1994) A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity. International Journal of Solids and Structures, 31(8), pp. 1063-1084. (doi: 10.1016/0020-7683(94)90164-3)

Full text not currently available from Enlighten.

Abstract

The aim of this work is to formulate a geometrically exact theory of finite deformation and finite rotation micropolar elastoplasticity to obtain a generalized nonlinear continuum framework. To this end, the classical deformation map is supplemented by an independent rotation field to yield an enhanced configuration space. Thereby, the rotational part of the formulation is consequently parameterized in terms of the rotation (pseudo) vector via the Euler-Rodrigues formula. Then, micropolar hyperelasticity and multiplicative elastoplasticity are conceptionally derived as in the classical Boltzmann continuum. The proposed theory is consequently developed in a modern geometry oriented fashion. Linearization of the kinematics retrofits the well-known structure of the micropolar geometrically linear theory.

Item Type:Articles
Additional Information:The author acknowledges the support of this research by the Deutsche Forschungsgemeinschaft under grant STE 238/25-2.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal of Solids and Structures
Publisher:Elsevier
ISSN:0020-7683
ISSN (Online):1879-2146

University Staff: Request a correction | Enlighten Editors: Update this record