Shock Loading of Heteromodular Elastic Materials under Plane-Strain Condition

Abstract:

The paper discusses the results of mathematical modeling the two-dimensional nonlinear dynamics of heteromodular elastic materials. The resistance of these materials under tension and compression is various. The deformation properties of the heteromodular medium are described within the framework of the isotropic elasticity theory with stress-dependent elastic moduli. In the plane strain case, it is shown that only two types of the nonlinear deformation waves can appear in the heteromodular elastic materials: a plane-polarized quasi-longitudinal wave and a plane-polarized quasi-transverse wave. Basing on obtained properties of the plane shock waves, two plane self-similar boundary value problems are formulated and solved.

• Periodical: Key Engineering Materials (Volume 887)
• Pages: 634-639
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.887.634
• Online since: May 2021
• Authors: Olga V. Dudko*, Alexandr A. Mantsybora
• Keywords: Elasticity, Heteromodular Material, Plane Strain, Riemann Wave, Self-Similar Problem, Shock Wave, Stress-Depended Elastic Moduli

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