One-Dimensional Softening With Localization

[+] Author and Article Information
Howard L. Schreyer, Z. Chen

Department of Mechanical Engineering and The New Mexico Engineering Research Institute, University of New Mexico, Albuquerque, NM 87131

J. Appl. Mech 53(4), 791-797 (Dec 01, 1986) (7 pages) doi:10.1115/1.3171860 History: Received June 13, 1985; Revised February 20, 1986; Online July 21, 2009


The relationship between material softening and structural softening is investigated through the use of a model problem in one dimension. If the size of the softening zone is large the structural softening response is stable under displacement-prescribed loading. For a small size, the softening response is unstable and the loading regime is sensitive to imperfections in stiffness. A nonlocal constitutive equation in which the limit stress is a function of strain and strain gradient is introduced to provide an approach for simulating softening with localization. Implications for the numerical modeling of softening phenomena are given.

Copyright © 1986 by ASME
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