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Wave propagation, localization and dispersion in a gradient-dependent medium. (English) Zbl 0771.73017
A continuum model that incorporates a dependence upon the Laplacian of the inelastic strain is used to regularize the initial value problem that results from the introduction of strain softening or non-associated flow. It is shown that the introduction of this gradient dependence preserves well-posedness of the initial value problem and that wave propagation in the enhanced continuum is dispersive. An analysis of the dispersive wave propagation reveals the existence of an internal length scale.

MSC:
74J10 Bulk waves in solid mechanics
74J20 Wave scattering in solid mechanics
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