Concentrated contact interactions in cuspidate prismatic shell-like bodies

Abstract

This paper deals with a class of linearly elastic material bodies of a special shape, namely the cuspidate prismatic shell-like bodies introduced by I. Vekua, studied in the framework of Vekua's 0-order approximation theory. It is shown per exempla that when such bodies are subject to concentrated boundary loads, concentrated internal contact interactions may arise. This fact helps to motivate the quest for a generalization of the standard theory, which covers only diffuse internal contact interactions.

Vekua type hierarchical models for prismatic shells with mixed conditions on face surfaces

“…Cusped prismatic shells of the form (71) are investigated at most (see [3], [14], [15], [19] and the references given there). When ω is a half-plane x 2 ≥ 0, the Flamant, Cerutti, and Carothers type problems are solved in explicit forms, which in the particular case κ = 0 coincide with the classical Flamant, Cerutti, and Carothers formulas for the plate of a constant thickness [20]- [23]. These investigations are carried out within the framework of Model I (i.e., for system (63), (64)).…”

On one problem of a cusped elastic prismatic shells in case of the third model of Vekua s hierarchical model

“…Vekua [15], [16] constructed hierarchical models for elastic prismatic shells, in particular, plates of variable thickness, when on the face surfaces either es (the rst model) or displacements (the second model) are known. The updated survey of results concerning cusped elastic prismatic shells in the cases of the rst and second models is given in [9] (see also [1], [5], [6], [10], [12], [14] and references therein). In the present paper the third hierarchical model for cusped elastic prismatic shells is analyzed.…”