Non-stationary dynamic contact problem for a periodic system of stamps under arbitrary loading
type: Item
instance of: scholarly article
title: Non-stationary dynamic contact problem for a periodic system of stamps under arbitrary loading
zbMATH Open document ID: 0621.73129
DOI: 10.1016/0021-8928(86)90131-0
author: B. George
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 20C35
zbMATH DE Number: 4007909
zbMATH Keywords: periodic system of stamps
zbMATH Keywords: boundary of a homogeneous plastic half-plane
zbMATH Keywords: load
zbMATH Keywords: arbitrary in time
zbMATH Keywords: invariant
zbMATH Keywords: respect to shear
zbMATH Keywords: translations
zbMATH Keywords: respect to reflections
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90131-0
OpenAlex ID: W2010353584
cites work: A non-stationary dynamical periodic contact problem for a homogeneous elastic half-plane
cites work: Q5589989
cites work: General technique for the solution of nonhomogeneous linear problems for symmetric mechanical systems
cites work: Q3662131
cites work: Q3048442
description: scientific article; zbMATH DE number 4007909