An Iterative Approach to Dynamic Elastic-Plastic Analysis

[+] Author and Article Information
F. Giambanco, L. Palizzolo, L. Cirone

Dipartimento di Ingegneria Strutturale & Geotechnica, DISEG, Università di Palermo, Viale delle Scienze, 90128 Palermo, Italy

J. Appl. Mech 65(4), 811-819 (Dec 01, 1998) (9 pages) doi:10.1115/1.2791916 History: Received October 28, 1997; Revised February 25, 1998; Online October 25, 2007


The step-by-step analysis of structures constituted by elastic-plastic finite elements, subjected to an assigned loading history, is here considered. The structure may possess dynamic and/or not dynamic degrees-of-freedom. As it is well-known, at each step of analysis the solution of a linear complementarity problem is required. An iterative method devoted to solving the relevant linear complementarity problem is presented. It is based on the recursive solution of a linear complementarity, problem in which the constraint matrix is block-diagonal and deduced from the matrix of the original linear complementarity problem. The convergence of the procedure is also proved. Some particular cases are examined. Several numerical applications conclude the paper.

Copyright © 1998 by The American Society of Mechanical Engineers
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