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On stress singularities near the boundary of a polygonal crack

Published online by Cambridge University Press:  14 November 2011

V. A. Kozlov
Affiliation:
Academy of Sciences of the U.S.S.R., Leningrad Branch of Mechanical Engineering Research Institute, Bolshoy 61, V.O., Leningrad, 199178, U.S.S.R.
V. G. Maz'ya
Affiliation:
Academy of Sciences of the U.S.S.R., Leningrad Branch of Mechanical Engineering Research Institute, Bolshoy 61, V.O., Leningrad, 199178, U.S.S.R.

Synopsis

Two theorems on the spectrum of operator pencils generated by the three-dimensional system of anisotropic elasticity in the complement of a plane angle are proved.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

1Fracture toughness testing and its applications. Sympos. Chicago 1964, Philadelphia 1965 (Amer. Soc. Test. Mat).Google Scholar
2Kondratiev, V. A.. Boundary value problems for elliptic equations in domains with conical or angular points. Trudy Moscov. Mat. Obshch. 16 (1967), 209292.Google Scholar
3Kozlov, V. A. and Maz'ya, V. G.. Spectral properties of operator pencils generated by elliptic boundary value problems in a cone. Functional Anal. Appl. 22 (1988), 3846.CrossRefGoogle Scholar
4Kozlov, V. A. and Maz'ya, V. G.. On the spectrum of an operator pencil generated by the Neumann problem in a cone. Algebra and Analysis (to appear).Google Scholar
5Maz'ya, V. G. and Plamenevskii, B. A.. On elliptic boundary value problems in a domain with piecewise smooth boundary. Trudy Symp. Mech. Cont. and Related Problems of Analysis 1 (1973), 171181.Google Scholar
6Noble, B., Hussain, M. A. and Pu, S. L.. Apex singularities for corner cracks under opening, sliding and tearing modes. In Fracture Mechanics in Engineering Application, Bangalore, India, 1979 (Sijthoff & Noordhoff, 1979).Google Scholar