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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51693

Title: Derivations of Integral Equations of Elasticity
Authors: Hong‐Ki Hong
Jeng‐Tzong Chen
Contributors: 國立臺灣海洋大學:機械與機電工程學系
Date: 1988-06
Issue Date: 2018-12-18T07:13:32Z
Publisher: ASCE Journal of Engineering Mechanics,
Abstract: Abstract: In this paper, we derive the integral equations of elasticity, which may be considered to be a very general formulation for solutions of (cracked and uncracked) elasticity problems. The formulation is general enough to be a starting point for an analytical study or for a numerical treatment. The theory can be developed either by utilizing Betti's law or the weighted residual method, or directly resorting to physical meaning, as in the potential theory. To show that the results of the derivations are consistent with one another, we also prove four lemmas of the properties of the kernel functions. The derivations are continued by applying two commutative operations, traction and trace, leading naturally to the concept of Hadamard principal value. Consequently, singularity, often present in problems involving geometry degeneracy, causes no particular difficulties. Finally, we employ two examples to demonstrate the usefulness of the resulting dual boundary integral equations in both analytical and numerical solution procedures.
Relation: 114(6)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51693
Appears in Collections:[機械與機電工程學系] 期刊論文

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