ABSTRACT
In most geotechnical books and research papers about constitutive modeling of soils, the formulation of elastoplastic models is usually described under multidimensional conditions from the beginning—that is, how to determine yield surface, plastic potential function, hardening rule, flow rule, and others. In Part 1 of this book, the models were initially described under one-dimensional (1D) conditions for the sake of simplicity because such models can be formulated using one component of stress—the normal stress σ—and one component of strain—the normal strain ε (or the void ratio e). Then, it was shown that 1D models can be automatically extended to multidimensional ones by replacing the stress in the yield function of a 1D model by a scalar quantity defined by the stress invariants and assuming a flow rule. The summaries of each chapter in Part 1 follow.
