Application of an Eigenfunction Expansion Method in Plasticity

[+] Author and Article Information
T. Wierzbicki

Institute of Fundamental Technological Research, Swietokrzyska 21, Warsaw, Poland

J. Appl. Mech 41(2), 448-452 (Jun 01, 1974) (5 pages) doi:10.1115/1.3423308 History: Received December 01, 1972; Revised August 01, 1973; Online July 12, 2010


Possibilities of extending the eigenvalue expansion method to dynamic problems for plastic continua and structures are examined. A model of a pseudo strain rate sensitive material is introduced as an approximation to the concept of rigid-perfectly plastic material. A simple method is then developed which parallels the familiar elastic mode expansion technique but yet retains the main features of rigid-plastic behavior. The accuracy of the method is discussed and comparison with previous theories is made. An illustrative example is presented.

Copyright © 1974 by ASME
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