Micropolar elastoplasticity and its role in localization

Dietsche, A., Steinmann, P. and Willam, K. (1993) Micropolar elastoplasticity and its role in localization. International Journal of Plasticity, 9(7), pp. 813-831. (doi:10.1016/0749-6419(93)90053-S)

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Abstract

In this article we focus on micropolar elastoplasticity and the conditions for the formation of spatial discontinuities. After a brief review of micropolar kinematics and balance equations, an augmented localization tensor is developed for elastoplastic constitutive behavior that describes discontinuous bifurcation at the constitutive level. In this context an auxiliary condition is encountered that restricts the jump of the stress rate to remain symmetric across discontinuity surfaces of second order. The expanded localization conditions are studied with two constitutive models — micropolar Rankine and micropolar von Mises J2-flow theories of elatoplasticity — for which definite statements are derived with regard to their regularization properties.

Item Type:Articles
Additional Information:This work was partially supported by the Air Force Office of Scientific Research, Boiling AfB, under Grant 92-NA-190 to the University of Colorado at Boulder. The first author would also like to acknowledge the support by the Deutsche Forschungsgemeinschaft, Bonn-Bad Godesberg.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Dietsche, A., Steinmann, P., and Willam, K.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal of Plasticity
Publisher:Elsevier
ISSN:0749-6419

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