Distribution Regularities of Shear Deformations in Incompressible Nonlinear Elastic Solids

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Abstract:

The process of shock disturbances in incompressible nonlinear elastic medium is considered. For the case of one-dimensional deformation the two types of plane shock waves are shown, which carry shift deformations in the medium. The properties of these waves are described, their propagation velocities are calculated. The solution of the boundary problem of the interaction of two plane waves with different shear polarization is presented to demonstrate ways of using the obtained results.

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864-869

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September 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Bland D.R., Nonlinear Dynamic Elasticity, Blaisdell, Waltham, (1969).

Google Scholar

[2] A.A. Burenin, A.D. Chernyshov, Shock waves in an isotropic elastic space, Journal of Applied Mathematics and Mechanics, 42(4) (1978) 758-765.

DOI: 10.1016/0021-8928(78)90019-9

Google Scholar

[3] Bykovtsev G.I., Ivlev D.D., Theory of Plasticity, Vladivostok, Dalnauka, 1998 (in Russian).

Google Scholar

[4] A.G. Kulikovskii, E.I. Sveshnikova, Nonlinear Waves in Elastic Media, CRC Press, (1995).

Google Scholar

[5] Burenin A.A., Dudko O.V., Lapteva A.A., About the laws of propagation of shape deformations, Sibirskii Zhurnal Industrial'noi Matematiki, Vol. 14, Iss. 4(48) (2011) 14-23 (in Russian).

Google Scholar