On equilibrium problem for a plate having a crack under the creep condition

Control and Cybernetics

Volumn 25, Issue 5, 1996, Pages 1014-1029

  Khludnev, A M ^a  

^a LAVRENTYEV INSTITUTE OF HYDRODYNAMICS   (Russian Federation)

Author keywords

[No Author keywords available]

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EID: 3042916568     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

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2. FICHERA, G. (1972) Boundary value problems of elasticity with unilateral constraints. In: Handbuch der Physik, Band 6a/2, Springer-Verlag.
3. GOLDSHTEIN, R.V., ENTOV, V.M.(1989) Qualitative methods in continuum mechanics. Nauka, Moscow (in Russian).
4. JOHN, O., NAUMANN, J. (1976) On regularity of variational solution of the von Karman equations. Math. Nachr., 71, 23-36.
5. KHLUDNEV, A.M. (1992) On extreme crack shapes in a plate. Transactions of the Russian Academy of Sciences. Mechanics of Solid, 1, 170-176 (in Russian).
6. KHLUDNEV, A.M. (1994) Existence of extreme unilateral cracks in a plate. Control and Cybernetics, 23, 3, 453-460.
7. KHLUDNEV, A.M. (1995) Contact problem for a shallow shell having a crack. Appl. Math. and Mech., 59, 2, 318-326 (in Russian).
8. KONDRATIEV, V.A., KOPAČEK, J., OLEINIK, O.A. (1982) On behaviour of solutions to the second order elliptic equations and elasticity equations in a neighbourhood of boundary points. In: Proceedings of Petrovsky's, seminar. Moscow, Moscow University Publishers, 8, 135-152 (in Russian).
9. LIONS, J.-L. (1969) Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunot, Paris.
10. LIONS, J.-L., MAGENES, E. (1968) Problèmes aux limites non homogènes et applications, 1, Paris, Dunod.
11. MIKHAILOV, V.P. (1976) Partial differential equations. Nauka, Moscow (in Russian).
12. MOROZOV, N.F. (1984) Mathematical foundation of the crack theory. Moscow, Nauka (in Russian).
13. NICAISE, S. (1992) About the Lamé system in a polygonal or polyhedral domain and coupled problem between the Lamé system and the plate equation. 1. Regularity of the solutions. Annali Scuola Norm. Super. Pisa, serie IV, 19, 327-361.
14. OLEINIK, O.A., KONDRATIEV, V.A., KOPAČEK, J. (1981) Asymptotic properties of solutions of a biharmonic equation. Differential Equations, 17, 10, 1886-1889 (in Russian).
15. TEMAM, R. (1979) Navier-Stokes equations. Theory and numerical analysis. North-Holland Publishing Company. Amsterdam, New-York, Oxford.
16. VOL'MIR, A.S. (1972) Nonlinear dynamics of plates and shells. Moscow, Nauka, (in Russian).