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Wave interaction with unilateral and adhesive cracks. Application on impact‐echo
Author(s) -
Stavroulakise G.
Publication year - 2000
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.20000801318
Subject(s) - variational inequality , adhesive , boundary element method , boundary value problem , complementarity (molecular biology) , materials science , mathematics , finite element method , mechanics , mathematical analysis , structural engineering , physics , composite material , engineering , layer (electronics) , biology , genetics
Breathing, unilateral cracks close under the influence of a compressive loading. Nonsmooth mechanics' tools are used for the study of unilateral, frictional and adhesive cracks. In this framework, a frictionless unilateral crack leads to a variational inequality or to a linear complementarity problem, while frictional or adhesive problems lead to nonconvex variational or hemivariational inequalities. The numerical solution is based here on a convolutional boundary element method. An application on impact‐echo modeling and the influence of unilateral cracks on the classical impact‐echo technique are presented.