Elasticity problems involving coupled half-planes †

Journal of Applied Mathematics and Mechanics

Volumn 63, Issue 6, 1999, Pages 927-935

  Lin'kov, A M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033234412     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(00)00010-1     Document Type: Article

References (16)

1. Muskhelishvili, N. I., Some Basic Problems of The Mathematical Theory of Elasticity. Nauka, Moscow, 1966.
2. Savruk, M. P., Two-dimensional Problems of The Theory of Elasticity for Bodies with Cracks. Naukova Dumka, Kiev, 1981.
3. Murakami, Y. (ed.), Stress Intensity Factors Handbook. Pergamon Press, Oxford, 1987.
4. Grekov, M. A., Plane Problems of The Theory of Cracks. A Textbook. Izd. Sankt-Peterburg. Univ., St Petersburg, 1997.
5. Mogilevskaya, S. G., Complex singular and hypersingular integral equations for the system of openings, cracks and inclusions in a half-plane. In Proc. International Symposium on Boundary Element Methods (Edited by M. Bonnet). Ecole Polytechnique, Paris, 1998, 153-154.
6. Mogilevskaya, S. G. and Linkov, A. M., Complex fundamental solutions and complex variables boundary element method in elasticity. Comput. Mech., 1998, 22, 1, 88-92.
7. Lin'kov, A. M., Integral equations of elasticity theory for a plane with cuts loaded by balanced systems of forces. Dokl. Akad. Nauk SSSR, 1974, 218, 6, 1294-1297.
8. Lin'kov, A. M., Plane problems of static loading of a piecewise homogeneous linearly elastic medium. Prikl. Mat. Mekh., 1983, 47, 4, 644-657.
9. Lin'kov, A. M. and Mogilevskaya, S. G., Complex hypersingular integrals and integral equations in plane elasticity. Acta Mech., 1994, 105, 1-4, 189-205.
10. Lin'kov, A. M. and Mogilevskaya, S. G., Complex hypersingular BEM in plane elasticity problems. In Singular Integrals in Boundary Element Methods, ed. V. Sladek and J. Sladek. Computational Mechanics Publ., Southampton, 1998, 299-364.
11. Green, A. E. and Zerna, W., Theoretical Elasticity. Clarendon Press, Oxford, 1992.
12. Grekov, M. A., Green's functions for periodic problems of an elastic half-plane. Izv. Ross. Akad. Nauk. MTT, 1998, 3, 173-178.
13. Lin'kov, A. M., Problems of elasticity for a plane with a finite number of curvilinear cuts in Research in Elasticity and Plasticity, No. 11. Izd. Leningrad. Gos. Univ., Leningrad, 1976, 3-11.
14. Sherman, D. I., The solution of a plane static problem of the theory of elasticity with given external forces. Dokl. Akad. Nauk SSSR, 1940, 28, 1, 25-28.
15. Sherman, D. I., The solution of a plane static problem of the theory of elasticity with given displacements on the boundary. Dokl. Akad. Nauk SSSR, 1940, 27, 9, 911-913.
16. Savruk, M. P., Osiv, P. N. and Prokopchuk, I. V, Numerical Analysis in Plane Problems of Crack Theory. Naukova Dumka, Kiev, 1989.