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Breakdown of smooth solutions in one dimensional nonlinear nonlocal elasticity

Mechanics Research Communications, ISSN: 0093-6413, Vol: 129, Page: 104092
2023
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Article Description

We write the equations of a nonlinear nonlocal elastic material in the system of Riemann invariants and view them as the perturbation of a simplified system under specific conditions that utilize a finite influence distance. For the perturbed system we study formation of singularities, a quality that passes on to the solutions of the original system.

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