Dynamics of deformation of an elastic medium with initial stresses
| Autor: | V. A. Cheverda, M.I. Epov, E. B. Lys, E. I. Romenskii |
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| Rok vydání: | 2017 |
| Předmět: |
Physics
Deformation (mechanics) Mechanical Engineering Isotropy Dynamics (mechanics) Constitutive equation Elastic energy Infinitesimal strain theory 010103 numerical & computational mathematics Mechanics Condensed Matter Physics 01 natural sciences 010101 applied mathematics Condensed Matter::Materials Science Quadratic equation Mechanics of Materials Ordinary differential equation 0101 mathematics |
| Zdroj: | Journal of Applied Mechanics and Technical Physics. 58:914-923 |
| ISSN: | 1573-8620 0021-8944 |
| DOI: | 10.1134/s0021894417050182 |
| Popis: | The constitutive equations of motion of an elastic medium with given initial stresses are formulated in the form of a hyperbolic system of first order differential equations. Equations describing the propagation of small perturbations in a prestressed isotropic medium with an arbitrary dependence of the elastic strain energy on the strain tensor are derived, and equations for the quadratic dependence of elastic strain energy on the strain tensor are given. |
| Databáze: | OpenAIRE |
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