Geodesic
Interaction of plane strain waves in a heteromodular elastic half-space at the stage of forced stopping of its boundary after uniaxial tension-compression
Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 32-48

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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.
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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     title = {Interaction of plane strain waves in a heteromodular elastic half-space at the stage of forced stopping of its boundary after uniaxial tension-compression},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {32--48},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a2/}
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O. V. Dudko; A. A. Lapteva; V. E. Ragozina. Interaction of plane strain waves in a heteromodular elastic half-space at the stage of forced stopping of its boundary after uniaxial tension-compression. Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 32-48. http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a2/