A strain-space plasticity theory and numerical implementation

Yoder, Paul Jerome (1980) A strain-space plasticity theory and numerical implementation. Technical Report: CaltechEERL:1980.EERL-80-07. California Institute of Technology.

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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.

EPrint Type:	Monograph (Technical Report)
Additional Information:	PhD, 1981: PB-82-201682
Subjects:	All Records > Earthquake Engineering Research Laboratory
ID Code:	146
Deposited By:	Caltech Library System
Deposited On:	25 September 2001
Record Number:	CaltechEERL:1980.EERL-80-07
Official 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.

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