Perturbation Method in the Problem of Compression-Shear Shock Load for a Nonlinear Elastic Half-Space


2018

Иванова Ю. Е., Рагозина В. Е.

Статьи в журналах

Mechanics of Solids

ALLERTON PRESS INC, 18 WEST 27TH ST, NEW YORK, NY 10001 USA

53 (1)

73-84

0.619

online: 1934-7936; print: 0025-6544

Yu.E. Ivanova and V.E. Ragozina, "Perturbation Method in the Problem of Compression-Shear Shock Load for a Nonlinear Elastic Half-Space," Mech. Solids. 53 (1), 73-84 (2018).

On the example of a one-dimensional nonstationary problem of oblique impact on the boundary of a nonlinear elastic isotropic half-space, the question of the manifestation of nonlinear deformation effects via basic evolution equations is studied. Much attention is given to the behavior of the solution behind the leading edge of a quasi-transverse shock wave. For particular cases of boundary conditions, it is shown that the onset region of the evolution equation of a quasi-transverse wave is preceded by a series of preliminary transitions to the intermediate internal problems of the small parameter method determined by the type of preliminary bulk deformation. This deformation consistently affects the distortion of the characteristic coordinates and the leading edge of the quasi-transverse process. As a consequence, the transition to the evolution equation of quasi-transverse waves occurs with simultaneous change of all independent variables of the boundary value problem.

10.3103/S0025654418010090

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