An inverse problem for an elastic medium containing a physically non-linear inclusion

Journal of Applied Mathematics and Mechanics

Volumn 64, Issue 3, 2000, Pages 407-412

  Tsvelodub, I Yu ^a  

^a NONE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347988     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(00)00063-0     Document Type: Article

References (10)

1. Eshelby, J. D., The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. Roy. Soc. London, Ser. A, 1957, 241, 1226, 376-396.
2. Vakulenko, A. A. and Sevost'yanov, I. B., In inclusion with non-linear properties in an elastic medium. In Research on the Mechanics of Engineering Structures and Materials. Leningr. Inzhen-Stroit. Inst., Leningrad, 1991, 8-16.
3. Muskhelishvili, N. L., Some Fundamental Problems of the Mathematical Theory of Elasticity. Nauka, Moscow, 1966.
4. Tsvelodub, I. Yu. The Stability Postulate and its Applications in Creep Theory for Metallic Materials. Inst. Gidrodinamiki Sibirsk, Old. Akad. Nauk SSSR. Novosibirsk, 1991.
5. Savin, G. N., The Stress Distribution Around Cavities. Naukova Dumka. Kiev, 1968.
6. Tsvelodub, I. Yu., Inverse problems of non-elastic deformation. Izv. Ross. Akad. Nauk. MTT, 1995, 2, 81-92.
7. Koiter, W. T., General Theorems for Elastic-Plastic Solids. North Holland, Amsterdam, 1960.
8. Shvab, A. A., Ill-posed statical problems of elasticity theory. Izv. Akad. Nauk SSSR, MTT, 1989, 6, 98-106.
9. Shvab, A. A., Solution of an inverse problem of elasticity theory by the method of the boundary integral equation for a holomorphic vector. Izv. Ross. Akad. Nauk, Fizika Zemli, 1994, 4, 62-67.
10. Tsvelodub, I. Yu., On optimal paths of deformation and fracture in creep. Izv. Ross. Akad. Nauk, MTT, 1999, 2, 108-114.