The Wiener-Hopf method in crack and interface problems

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 2, 1996, Pages 113-116

  Duduchava, R ^a   Sandig A M ^b   Wendland, W L ^b  

^a A RAZMADZE MATHEMATICAL INSTITUTE   (Georgia)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344572308     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

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2. M. COSTABEL, M., STEPHAN, E.: An improved boundary element Galerkin method for three-dimensional crack problems Integral Equations and Operator Theory 10 (1987), 467-504.
3. DUDUCHAVA, R., NATROSHVILI, D., SHARGORODSKY, E.: On the continuity of generalized solutions of boundary value problems of the mathematical theory of cracks, Bulletin of the Georgian Academy of Sciences 135 (1989), 497-500.
4. DUDUCHAVA, R., NATROSHVILI, D., SHARGORODSKY, E.: Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I-II,Georgian Mathematical Journal 2 (1995), 123-140, 259-276.
5. DUDUCHAVA, R., SÄNDIG, A. M., WENDLAND, W.L.: Asymptotics of solutions to boundary equations with application to interface cracks in anysotropic composites (to appear).
6. DUDUCHAVA, R., WENDLAND, W.L.: The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problem, Preprint 93-15, Stuttgart Univerity (1993) (to appear in Integr. Eg. Oper. Theory).
7. ESKIN, G.: Boundary Value Problems for Elliptic Pseudodifferential Equations, vol 52 of Translations of Mathematica Monographs. AMS, Providence, Rhode Island (1981).
8. KUPRADZE, V., GEGELIA, T., BASHELEISHVILI, M., BURCHULADZE, T.: Three-Dimensional Problems of the Mathematica Theory of Elasticity and Thermoelasticity, North-Holland, Amsterdam (1979).
9. MAZ'YA, V.: Boundary Integral Equations, Encyklopedia of Mathematical Sciences, v. 27, Springer, Heidelberg (1991).
10. TING, T. C. T.: Explicit solution and invariance of the singularities at an interface crack in anysotropic composites, In J. of Solid Structures, 99 (1986), 965-983.
11. TRIEBEL, H.: Theory of Function Spaces, Birkhäuser Verlag, Boston (1983).
12. SUO, Z.: Singularities, interfaces and cracks in dissimilar anisotropic media, Proceedings of the Royal Society, London A 427 (1990), 331-358.