Boundary Element Technique in Elastostatics and Linear Fracture Mechanics

作者: G. Kuhn

DOI: 10.1007/978-3-7091-2826-8_3

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摘要: The theoretical fondations and some engineering applications of the direct Boundary Element Method (BEM) are presented for case linear elastostatics including thermal loading commonly encountered body forces like gravity centrifugal forces. In plane problems classical formulation contains two eigenvalues, hence solution is non-unique. Two different techniques proposed to avoid this difficulty.

参考文章(30)
Frank J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics Quarterly of Applied Mathematics. ,vol. 25, pp. 83- 95 ,(1967) , 10.1090/QAM/99907
G. C. Sih, H. Liebowitz, Mathematical theories of brittle fracture. ,(1968)
Tatʹi︠a︠na D Shaposhnikova, Robert S Anderssen, Solomon Grigorʹevich Mikhlin, Petr Petrovich Zabreĭko, AI Koshlev, None, Integral equations : a reference text Noordhoff International Pub.. ,(1975) , 10.1007/978-94-010-1909-5
Carlos Alberto Brebbia, The Boundary Element Method for Engineers ,(1978)
A. A. Griffith, The Phenomena of Rupture and Flow in Solids Philosophical Transactions of the Royal Society A. ,vol. 221, pp. 163- 198 ,(1921) , 10.1098/RSTA.1921.0006
H. Neuber, Ein neuer Ansatz zur Lösung räumlicher Probleme der Elastizitätstheorie. Der Hohlkegel unter Einzellast als Beispiel ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 14, pp. 203- 212 ,(1934) , 10.1002/ZAMM.19340140404
Oliver Dimon Kellogg, Foundations of potential theory ,(1929)