Non-stationary dynamic contact problem for a periodic system of stamps under arbitrary loading
The contact stresses are determined under a periodic system of stamps on the boundary of a homogeneous plastic half-plane and moving under the action of a load that is arbitrary in time. Unlike by the author [ibid. 48, 315-322 (1984; Zbl 0578.73115)], a more general problem is solved when the system of stamps is firstly invariant not only with respect to shear (translations) along the half-plane boundary by vectors that are multiples of a certain vector \(a_ 0\), but also with respect to reflections in a periodic system of parallel planes \(\pi_ k\) \((k=0,\pm 1,\pm 2,...)\) perpendicular to the vector \(a_ 0\) and separated from each other by a distance \(\ell =| a_ 0| /2\) (these transformations form a group \(C_{ih}\), and secondly, the load is not assumed to be identical for all stamps.
boundary of a homogeneous plastic half-plane
scientific article; zbMATH DE number 4007909