Transient Solutions for One-Dimensional Problems With Strain Softening

Author:

Belytschko T.1,Wang Xiao-Jun1,Bazant Z. P.1,Hyun Y.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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