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The Frictionless Contact of Cracked Elastic Bodies
Author(s) -
Theocaris P. S.,
Bardzokas Dem.
Publication year - 1983
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19830630204
Subject(s) - stress intensity factor , infinitesimal , contact zone , elasticity (physics) , boundary value problem , contact mechanics , contact region , mathematics , mathematical analysis , geometry , mechanics , fracture mechanics , structural engineering , materials science , physics , geology , finite element method , engineering , composite material , layer (electronics) , geochemistry
In this paper a method was developed for solving the general mixed boundary‐value problem in static elasticity by numerically integrating a system of singular integral equations describing the boundary conditions of the problem, as well as the single‐valuedness of the displacements. The method was adapted to the solution of frictionless contact problems, in the case when one of the contacted bodies contains a crack. The solution of the problem yields not only the stress distribution along the contact zone but also the stress intensity factors at the tips of the crack, as well as the unknown contact length in cases of the praxis, where the contact zone is not assumed infinitesimal. The method was applied with success to the inclusion problem of an infinite cracked plate.