ABSTRACT
Hill's theory of uniqueness and plastic stability is presented in this chapter.
Exclusion functional and incrementally linear comparison material are rst
introduced. Eigenmodal deformations and acceleration waves in elastoplastic
solids are then discussed. Fundamentals of Rice's localization analysis for
various constitutive models are presented. Elastoplastic materials described
by associative and nonassociative ow rules, as well as rigid-plastic materials
are considered. The eects of yield vertices on localization predictions are
examined.
