Interaction of plane strain waves in a heteromodular elastic half-space at the stage of forced stopping of its boundary after uniaxial tension-compression

O. V. Dudko ; A. A. Lapteva ; V. E. Ragozina

Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 32-48.

Résumé

The evolution of the wave pattern in a multimodulus elastic half-space with a boundary moving in nonstationary uniaxial piecewise linear “tension — compression — stop” mode is studied. The solution of the boundary value problem includes all cases of interaction between plane one-dimensional strain waves, including reflected weak-intensity fronts. A number of new features of one-dimensional elastic deformation dynamics in a multimodulus medium are revealed, some of which (e. g., the appearance of a reflected shock wave at a distance from the loaded boundary, cyclic transitions of a narrow moving zone from a compressed to rigid state and back, and a stepwise decrease in the tensile strain level in the near-boundary zone after the boundary is stopped) can be obtained with a given boundary loading only taking into account reflection effects.

Détail

Keywords: multimodulus elasticity, unsteady deformation, piecewise linear boundary condition, forced stopping, strong rupture, collision of strain waves, reflected shock wave.
Mots-clés : uniaxial tension-compression

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