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The traction boundary contour method for linear elasticity
Author(s) -
Shenjie Zhou,
Zhiyuan Cao,
Shuxun Sun
Publication year - 1999
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(19991220)46:11<1883::aid-nme749>3.0.co;2-e
Subject(s) - traction (geology) , boundary element method , singular boundary method , mathematics , mathematical analysis , boundary knot method , boundary (topology) , contour line , boundary value problem , geometry , finite element method , structural engineering , engineering , physics , mechanical engineering , meteorology
Abstract This paper presents a further development of the boundary contour method. The boundary contour method is extended to cover the traction boundary integral equation. A traction boundary contour method is proposed for linear elastostatics. The formulation of traction boundary contour method is regular for points except the ends of the boundary element and corners. The present approach only requires line integrals for three‐dimensional problems and function evaluations at the ends of boundary elements for two‐dimensional cases. The implementation of the traction boundary contour method with quadratic boundary elements is presented for two‐dimensional problems. Numerical results are given for some two‐dimensional examples, and these are compared with analytical solutions. This method is shown to give excellent results for illustrative examples. Copyright © 1999 John Wiley & Sons, Ltd.