Open AccessA boundary element alternating method for two-dimensional mixed-mode fracture problems
Author(s) -
I. S. Raju,
T. Krishnamurthy
Publication year - 1992
Publication title -
computational mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.461
H-Index - 104
eISSN - 1432-0924
pISSN - 0178-7675
DOI - 10.1007/bf00369857
Subject(s) - singularity , boundary element method , stress intensity factor , boundary knot method , finite element method , method of fundamental solutions , boundary value problem , boundary (topology) , beam (structure) , mathematics , mathematical analysis , enhanced data rates for gsm evolution , fracture mechanics , polynomial , singular boundary method , structural engineering , fracture (geology) , computer science , materials science , engineering , telecommunications , composite material
A boundary element alternating method (BEAM) is presented for two dimensional fracture problems. An analytical solution for arbitrary polynomial normal and tangential pressure distributions applied to the crack faces of an embedded crack in an infinite plate is used as the fundamental solution in the alternating method. For the numerical part of the method the boundary element method is used. For problems of edge cracks a technique of utilizing “finite elements” with BEAM is presented to overcome the inherent singularity in boundary element stress calculation near the boundaries. Several computational aspects that make the algorithm efficient are presented. Finally the BEAM is applied to a variety of two-dimensional crack problems with different configurations and loadings to assess the validity of the method. The method gave accurate stress-intensity factors with minimal computing effort.
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