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Stress analysis with centrifugal load in non‐homogeneous materials by triple‐reciprocity boundary element method
Author(s) -
Ochiai Yoshihiro
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1218
Subject(s) - boundary element method , reciprocity (cultural anthropology) , homogeneous , boundary value problem , finite element method , boundary (topology) , mathematical analysis , mathematics , computer science , structural engineering , engineering , psychology , social psychology , combinatorics
In general, internal cells are required to solve elastic problems with a centrifugal load in non‐homogeneous materials using a conventional boundary element method (BEM). However, in this case, the merit of the BEM, which is the ease of data preparation, is lost. In this study, it is shown that two‐dimensional elastic problems with centrifugal load in non‐homogeneous materials with variable mass density can be solved without the use of internal cells using the triple‐reciprocity BEM. A body force distribution is interpolated using boundary integral equations. A new computer program is developed and applied to solve several problems. Copyright © 2009 John Wiley & Sons, Ltd.