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An efficient representation for kernels in the 2d dynamic displacement discontinuity method for cracked elastic materials
Author(s) -
Sumbatyan M.,
Brigante M.
Publication year - 2011
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.201000169
Subject(s) - discontinuity (linguistics) , displacement (psychology) , boundary element method , representation (politics) , boundary (topology) , construct (python library) , mathematics , mathematical analysis , elasticity (physics) , finite element method , computer science , structural engineering , physics , engineering , psychology , programming language , thermodynamics , politics , political science , law , psychotherapist
The displacement discontinuity method is a rather standard approach to study cracks in elastic materials. This is in fact a certain technique to construct the system of Boundary Integral Equations (BIE), or equivalently, Boundary Element Methods (BEM). In the static case this typically results in explicit expressions for the kernels of respective BIE, both in 2d and 3d problems. In the work the authors give efficient representations for such kernels in explicit form.