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Updated: Aug 6, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Solitary and compactlike shear waves in the bulk of solids
Michel Destrade1, Giuseppe Saccomandi
1Laboratoire de Modélisation en Mécanique UMR 7607, CNRS, Université Pierre et Marie Curie, 4 place Jussieu, case 162, 75252 Paris Cedex 05, France. destrade@lmm.jussieu.fr
Abstract:
We show that a model proposed by Rubin, Rosenau, and Gottlieb [J. Appl. Phys. 77, 4054 (1995)] for dispersion caused by an inherent material characteristic length belongs to the class of simple materials. Therefore, it is possible to generalize the idea of Rubin, Rosenau, and Gottlieb to include a wide range of material models, from nonlinear elasticity to turbulence. Using this insight, we are able to fine-tune nonlinear and dispersive effects in the theory of nonlinear elasticity in order to generate pulse solitary waves and also bulk traveling waves with compact support.
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