The dynamics of one-dimensional elastic deformations in a bimodulus isotropicelastic half-space under cyclic uniaxial tension-compression at its boundary is investigated. The generalized solution to the nonstationary initial-boundary value problem is constructed in the form of a recursive sequence of local solutions, accounting for the collisions and reflections of wavefronts. It is shown that in the near-boundary region, deformations at each cycle step follow the scenario ”tension layer – compression layer – rigid layer”, while at a distance from the boundary, they dynamically redistribute due to multiple wave interactions. A packet of alternating compressed and rigid layers runs forward at the velocity of the fast characteristic, while the total tensile region lags behind. Such a redistribution of deformations under cyclic tension-compression of a bimodulus half-space occurs both when the difference between the fast and slow characteristic velocities is significant and when it is small.

Olga V. Dudko, Candidate of Physical and Mathematical Sciences; e-mail: dudko.ov@dvfu.ru; https://orcid.org/0000-0001-7493-6360; AuthorID: 6525

Anastasia A. Lapteva, Candidate of Physical and Mathematical Sciences; e-mail: lanastal@mail.ru; https://orcid.org/0000-0002-1703-0471; AuthorID: 119796