On a Class of Models for the Yielding Behavior of Continuous and Composite Systems

1967/09/01 by W. D. Iwan · 10 citations
Engineering · Mathematics · #Algorithm #Applied mathematics #Artificial intelligence #Bauschinger effect #Class (philosophy) #Composite material #Composite number #Computer science #Dynamics and Control of Mechanical Systems #Elasticity and Material Modeling #Generalization #Materials science #Mathematical analysis #Mathematics #Mechanical Behavior of Composites #Monotonic function #Plasticity #Stress (linguistics)

paper · doi:10.1115/1.3607751

openalex publication_date 1967/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

A class of one-dimensional models for the yielding behavior of materials and structures is presented. This class of models leads to stress-strain relations which exhibit a Bauschinger effect of the Massing type, and both the steady-state and nonsteady-state cyclic behavior are completely specified if the initial monotonic loading behavior is known. The concepts of the one-dimensional class of models are extended to three-dimensions and lead to a subsequent generalization of the customary concepts of the incremental theory of plasticity.

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