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AN INDIRECT BOUNDARY ELEMENT METHOD FOR PLATE BENDING ANALYSIS
Author(s) -
VENTSEL EDUARD S.
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970515)40:9<1597::aid-nme129>3.0.co;2-t
Subject(s) - boundary element method , mathematics , isotropy , singular boundary method , boundary (topology) , gravitational singularity , mathematical analysis , boundary knot method , numerical analysis , kernel (algebra) , bending of plates , singularity , boundary value problem , finite element method , integral equation , geometry , bending , structural engineering , physics , engineering , quantum mechanics , combinatorics
An indirect Boundary Element Method is employed for the static analysis of homogeneous isotropic and linear elastic Kirchhoff plates of an arbitrary geometry. The objectives of this paper consists of a construction and a study of the resulting boundary integral equations as well as a development of stable powerful algorithms for their numerical approximation. These equations involve integrals with high‐order kernel singularities. The treatment of singular and hypersingular integrals and a construction of solutions in the neighborhood of the irregular points on the boundary are discussed. Numerical examples illustrate the procedure and demonstrate its advantages. © 1997 by John Wiley & Sons, Ltd.