Transient Solutions for One-Dimensional Problems With Strain Softening

[+] Author and Article Information
T. Belytschko, Xiao-Jun Wang, Z. P. Bazant, Y. Hyun

Department of Civil Engineering, Northwestern University, Evanston, IL 60201

J. Appl. Mech 54(3), 513-518 (Sep 01, 1987) (6 pages) doi:10.1115/1.3173062 History: Received September 01, 1985; Revised July 09, 1986; Online July 21, 2009


Closed-form solutions are presented for the transient response of rods in which strain softening occurs and the stress-strain laws exhibit nonvanishing stresses after the strain-softening regime. It is found that the appearance of any strain softening results in an infinite strain rate if the material is inviscid. For a stress-strain law with a monotonically decreasing stress the strains are infinite also. If the stress increases after the strain-softening portion, the strains remain finite and the strain-softening point moves through the rod.

Copyright © 1987 by ASME
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