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A Note on Nonbreaking Waves in Hyperelastic Materials

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This note treats the evolution of waves on hyperelastic materials, due to initial jump discontinuities in the gradient of strain. In general, these discontinuities become unbounded in finite time, leading to discontinuous strain. There are, however, certain cases in which the gradient jump remains finite for all times. We show here that the class of materials admitting such exceptional waves is fairly large, including Hadamard materials and generalized Hooke materials. An earlier example of Jeffrey and Teymur [6] is also discussed and reset in a more general framework.
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Document Type: Research Article

Affiliations: Massachusetts Institute of Technology

Publication date: October 1, 1980

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