The Concept and Application of the Bounding Surface in Plasticity Theory

The concept of the bounding surface in stress space is presented, and a novel unified formulation of the corresponding rate independent constitutive plastic relations is given. The salient feature of the bounding surface approach is that plastic deformation occurs for stress states within the surface at a rate which depends on the proximity between the current stress point and an “image” stress point on the bounding surface defined by a proper mapping rule. The material exhibits a memory of past loading history by means of plastic internal variables, and a projected “foresight” by means of the distance between actual and “image” stress points. Particular models and corresponding applications are presented within the general framework.

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