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Frictional contact of laminated elastic half‐spaces allowing interface cavities. Part 2: Numerical results
Author(s) -
Kryshtafovych A. A.,
Matysiak S. J.
Publication year - 2001
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.168
Subject(s) - algebraic equation , surface (topology) , mathematics , mathematical analysis , half space , boundary (topology) , interface (matter) , numerical analysis , geometry , boundary value problem , integral equation , space (punctuation) , algebraic number , joint (building) , basis (linear algebra) , structural engineering , mechanics , physics , computer science , engineering , nonlinear system , bubble , quantum mechanics , maximum bubble pressure method , operating system
Abstract The paper presents some numerical results of the problem on contact of stratified elastic half‐spaces possessing unevenness of their surface layers. The approach of the Jacobi polynomials is used to reduce the singular integral equation of the problem to a system of linear algebraic equations. On the basis of the system's solution the dependence of gaps' geometric characteristics on external load and friction is investigated for two types of initial boundary disturbances, namely a local symmetric recess and a periodic set of recesses at a flat boundary. Numerical results are presented in figures for a few elastic and geometric parameters of joint components. The analysis shows that elastic properties and geometric structure of a laminated half‐space have a significant influence on the shape of interface gaps and their location. Copyright © 2001 John Wiley & Sons, Ltd.