Von Kármán equations for an elastic plate with dislocations and disclinations

Doklady Physics

Volumn 52, Issue 1, 2007, Pages 67-70

  Zubov, L M ^a  

^a SOUTHERN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DISLOCATIONS (CRYSTALS); ELASTICITY; PHASE TRANSITIONS; PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING; STRESS ANALYSIS;

EDGE DISLOCATIONS; ELASTIC PLATES; THERMAL DEFORMATIONS; WEDGE DISLOCATIONS;

NONLINEAR EQUATIONS;

EID: 33846874993     PISSN: 10283358     EISSN: None     Source Type: Journal    
DOI: 10.1134/S102833580701017X     Document Type: Article

References (13)

1. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959; Fizmatgiz, Moscow, 1963).
2. K. Washidzu, Variational Methods in Elasticity and Plasticity (Mir, Moscow, 1987; Pergamon, Oxford, 1983).
3. F Ph. Ciarlet and P. Rabier, Les équations de Von Kármán (Springer-Verlag, Berlin, 1980; Mir, Moscow, 1983).
4. S. V. Derezin and L. M. Zubov, Dokl. Phys. 44, 391 (1999)
5. [Dokl. Akad. Nauk 366, 762 (1999)].
6. L. M. Zubov, Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies (Springer, Berlin, 1997).
7. A. I. Lur'e, Theory of Elasticity (Nauka, Moscow, 1970) [in Russian].
8. P. J. Olver, Applications of Lie Groups to Differential Equations (Springer, New York, 1986; Mir, Moscow, 1989).
9. J. D. Eshelby, Solid State Phys. 3, 79 (1956);
10. Continual Theory of Dislocations (Inostrannaya Literatura, Moscow, 1963) [in Russian].
11. J. K. Knowles and E. Sternberg, Arch. Ration Mech. Anal. 44, 187 (1972).
12. A. V. Pogorelov, Extrinsic Geometry of Convex Surfaces (Nauka, Moscow, 1969) [in Russian].
13. M. I. Karyakin, Prikl. Mekh. Tekh. Fiz., No. 3, 157 (1992).