A NEW CLASS OF DISTRIBUTED-ELEMENT MODELS FOR CYCLIC PLASTICITY .2. ON IMPORTANT PROPERTIES OF MATERIAL BEHAVIOR

A general theory is developed to elucidate important properties of ine lastic material behavior under cyclic multi-axial loading conditions b ased on the behavior of the new Distributed-Element Models proposed in Part I. By establishing some important theorems on the behavior of th e DEMs, the property of erasure-of-memory exhibited by real materials is shown to be closely related to the existence and uniqueness of equi librium states, which is in turn a consequence of the property that th e admissible stress region bounded by the limit surface associated wit h a Distributed-Element Model is bounded and strictly convex.