ON THE COMPETITION BETWEEN FAILURE AND INSTABILITY IN PROGRESSIVELY SOFTENING SOLIDS
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Progressively softening solids admit the possibility of a complete loss of stress-carrying capacity and are also prone to shear localization instabilities. Quasi-static shearing of a planar block is used to illustrate, in a very simple context, circumstances where one or the other of these outcomes is favored. The block is characterized as a linear softening Kelvin-Voigt type solid and an imperfection in the form of a band of reduced stiffness is specified. 1991 by ASME.