The Governing Equations and Extremum Principles of Elasticity and Plasticity Generated from a Single Functional*—Part II
- 1 January 1973
- journal article
- research article
- Published by Taylor & Francis in Journal of Structural Mechanics
- Vol. 2 (2) , 135-158
- https://doi.org/10.1080/03601217308905303
Abstract
This paper is direct continuation of Part I [16], where a new theoretical framework was described and illustrated for the title problem. This is wide enough to encompass not only elasticity and plasticity and associated structural mechanics, but also other branches of applied mathematics. The unifying effect of the theory is emphasized by working out here further applications in finilc elasticity, and in incremental plasticity from a stressed slate with allowance for geometry changes. New results are obtained, and the connection indicated between certain approximate methods of structural mechanics, in particular the finite-element method.Keywords
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