2023
Journal of Applied and Industrial Mathematics, Scopus
Статьи в журналах
Vol. 17, pp. 710–723
Dudko, O.V., Lapteva, A.A. & Ragozina, V.E. Interaction of Plane Strain Waves in a Heteromodular Elastic Half-Space at the Stage of Forced Stopping of Its Boundary after Uniaxial Tension–Compression J. Appl. Ind. Math. 17, 710–723 (2023). https://doi.org/10.1134/S1990478923040038
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.
https://doi.org/10.1134/S1990478923040038