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A strain-space plasticity theory and numerical implementation

Yoder, Paul Jerome (1980) A strain-space plasticity theory and numerical implementation. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechEERL:1980.EERL-80-07

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Abstract

This thesis sets forth an alternate version of plasticity which closely parallels the traditional theory but interchanges the roles of stress and strain. As a result, the new formulation gives stress as a functional of strain, rather than the reverse, and is thus attuned to the needs of the dynamicist. In the case of a single loading surface, the two versions of plasticity are shown to be equivalent when the model parameters are appropriately selected. A similar though less satisfying result is obtained for formulations involving a plurality of loading surfaces. The strain-space formulation is coded for numerical solution, with provision for a variable number of loading surfaces. The numerical algorithm is tested for accuracy in the handling of perfect plasticity, and the results are compared with those given by three commonly-used stress-space algorithms. The new algorithm is then interfaced with a finite element code and used to study the response of a foundation resting on an elastoplastic half-space.


Item Type:Report or Paper (Technical Report)
Additional Information:PhD, 1981: PB-82-201682
Group:Earthquake Engineering Research Laboratory
Record Number:CaltechEERL:1980.EERL-80-07
Persistent URL:http://resolver.caltech.edu/CaltechEERL:1980.EERL-80-07
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26358
Collection:CaltechEERL
Deposited By: Imported from CaltechEERL
Deposited On:25 Sep 2001
Last Modified:26 Dec 2012 13:56

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