Solvability of a theory of anti-plane shear with partially coated boundaries

• Autorzy: Sigaeva T. , Schiavone P.
• Języki publikacji: EN

Abstrakty

EN

We consider the anti-plane shear of an elastic solid whose boundary is partially reinforced by a thin solid film represented by the union of a finite number of open curves. The solvability of the resulting boundary value problems is complicated by the presence of end-point conditions which must be satisfied at the ends of each section of the reinforcing film. In order to avoid complicated solvability conditions which carry no clear physical meaning, we modify the boundary integral equation method using an equivalent (lower-order) reinforcement condition which leads to the desired solvability results for the corresponding boundary value problems.

Słowa kluczowe

EN

elastic reinforcement; linear elasticity; thin film; partial coating; surface energy

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2014
• Tom: Vol. 66, nr 2
• Strony: 113--125
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sigaeva T.

• Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta T6G 2G8, Canada

autor

Schiavone P.

• Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta T6G 2G8, Canada

Bibliografia

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• 4. T. Sigaeva, P. Schiavone, Solvability of the Laplace equation in a solid with boundary reinforcement, Z. Angew. Math. Phys. (ZAMP), accepted.
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• 6. C. Constanda, Direct and Indirect Boundary Integral Equation Methods, Chapman & Hall/CRC, Boca Raton-London-New York-Washington, DC, 1999.
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• 8. V.D. Kupradze, Potential methods in the theory of elasticity, [translated from Russian by H. Gutfreund], edited by I. Meroz, Israel Program for Scientific Translations, Jerusalem, 1965.
• 9. T. Sigaeva, P. Schiavone, The effect of surface stress on an interface crack in linearny elastic materials, to appear.