Stress Pulse Reflection and Tensile Cracking in a One-Dimensional Bilinear Material

Abstract

As a check case for numerical studies of tensile cracking in nonlinear media, closed form solutions have been derived for the following problems. A finite slab of bilinear material is loaded on one face by a sharp- fronted triangular pressure pulse. Cracks are assumed to form in the first case when the stress exceeds a tensile limit, and in the second case when the stress exceeds a tensile limit for a finite time, i.e., the tensile impulse is finite. In both cases the stress reaches the tensile limit and a first crack forms shortly after the incident wavefront reflects from the free face of the slab. In the first case a continuously cracked zone develops under the action of a tensile spike caused by the first crack. In the second case, the tensile spike has no effect on cracking, and a sequence of discrete cracks form. Stress histories and stress profiles are plotted for both cases. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1980
Accession Number
ADA108833

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