Nonuniqueness in Contained Plastic Deformation

Author:

Hodge P. G.1,White D. L.1

Affiliation:

1. Department of Aero Engineering and Mechanics, University of Minnesota, Minneapolis, Minn. 55455

Abstract

It is well known that in a well-defined load-controlled boundary-value problem for an elastic/perfectly-plastic structure the displacements are unique if the structure is everywhere elastic, and they are not unique at the yield-point load when the structure becomes a mechanism. The present paper is concerned with the range of contained plastic deformation between these two extremes. Several examples are given in which more than one displacement field exists for loads less than the yield-point load. The significance of this phenomenon is commented on from a physical, mathematical, and computational point of view.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nonuniqueness in Elastoplastic Frames;Journal of Applied Mechanics;1992-09-01

2. Kinematic nonuniqueness of elastoplastic structures;International Journal of Mechanical Sciences;1991-01

3. Large scale nonholonomic elastoplastic analysis using a linear complementarity formulation;Computer Methods in Applied Mechanics and Engineering;1990-12

4. Mathematical programming and uniqueness in nonholonomic plasticity;Computers & Structures;1990-01

5. Nonholonomic computer analysis of elastoplastic frames;Computer Methods in Applied Mechanics and Engineering;1989-03

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