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- Title
Effect of the medium inhomogeneity on the evolution equation of plane shock waves.
- Authors
Ragozina, V. E.; Ivanova, Yu. E.
- Abstract
Using the method of matched asymptotic expansions, solutions of boundary-value problems of shock deformation of nonlinear elastic weakly inhomogeneous semispaces are obtained. It is shown that nonlinearity of the model and various properties of the inhomogeneity lead to new evolution equations in the frontal areas of longitudinal and transverse shock waves, the transition to which is due to transformations of all independent coordinates of the problem.
- Subjects
EVOLUTION equations; SHOCK waves; ASYMPTOTIC expansions; NUMERICAL solutions to boundary value problems; NONLINEAR elastic fracture; SHEAR waves
- Publication
Journal of Applied Mechanics & Technical Physics, 2013, Vol 54, Issue 5, p809
- ISSN
0021-8944
- Publication type
Article
- DOI
10.1134/S0021894413050143