Study of stress concentration in short hollow cylinders of transversely isotropic materials

International Applied Mechanics

Volumn 35, Issue 7, 1999, Pages 678-683

  Shaldyrvan, V A ^a   Sumtsov, A A ^a   Soroka, V A ^a  

^a DONETSK NATIONAL UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844455745     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02682205     Document Type: Article

References (16)

1. A. A. Babloyan, "Problem of the axisymmetric deformation of a circular cylinder of finite length made of a transversely isotropic material," Izv. Akad. Nauk SSSR Ser. Fiz. Mat. Nauk, No. 1, 61-70 (1961).
2. T. S. Bulanov and V. A. Shaldyrvan, "Improving the convergence of the method of homogeneous solutions," Prikl. Mat. Mekh., 44, No. 5, 957-960 (1980).
3. T. S. Bulanov and V. A. Shaldyrvan, Technology for Solving Three-Dimensional Problems of the Theory of Elasticity on a Computer [in Russian], UMKVO, Kiev (1988).
4. I. I. Vorovich, "Certain mathematical problems of the theory of plates and shells," Tr. 2nd All-Union Conference on Theoretical and Applied Mechanics: Solid Mechanics, Nauka, Moscow (1966), pp. 116-136.
5. I. I. Vorovich, "Certain results and problems of the asymptotic theory of plates and shells," Materials of the 1st All-Union School on the Theory and Numerical Methods of Design of Shells and Plates, Tbilisi. TGU (Tbilisi State University), (1975), pp. 51-149.
6. I. I. Vorovich and V. T. Koval'chuk, "Basis properties of a system of homogeneous solutions," Prikl. Mat. Mekh., 31, No. 5, 861-869 (1967).
7. A. I. Gomilko, V. T. Grinchenko, and V. V. Meleshko, "Method of homogeneous solutions and superposition in static boundary-value problems for an elastic shell," Prikl. Mekh., 22, No. 8, 84-93 (1986).
8. V. T. Grinchenko, Equilibrium and Steady-State Vibrations of Elastic Bodies of Finite Dimensions [in Russian], Naukova Dumka, Kiev (1978).
9. V. E. Koval'chuk, "Certain mathematical aspects of the second main problem of the theory of elasticity for a circular slab," in: Mathematical Analysis and Its Applications [in Russian], RGU (Rostov State University), Rostov-on-the-Don (1969), pp. 17-23.
10. A. S. Kosmodamianskii, I. Kh. Milishenskii, and V. A. Shaldyrvan, "Stress concentration in a transversely isotropic plate with a cylindrical cavity," Prikl. Mat. Mekh., 41, No. 5, 957-960 (1997).
11. A. S. Kosmodamianskii and V. A. Shaldyrvan, "Determination of the stress state of multiply connected transversely isotropic plates," Prikl. Mat. Mekh., 39, No. 5, 909-917 (1975).
12. A. S. Kosmodamianskii and V. A. Shaldyrvan, Thick Multiply Connected Plates [in Russian], Naukova Dumka, Kiev (1980).
13. S. G. Lekhnitskii, "Elastic equilibrium of a transversely isotropic layer and a thick plate," Prikl. Mat. Mekh., 26, No. 4, 687-696 (1962).
14. A. I. Petrik and V.A. Shaldyrvan, "Stress concentration near a cylindrical cavity in a transversely isotropic layer," Teor. Prikl. Mekh., No. 9, 12-17 (1978).
15. V. A. Shaldyrvan, "Three-dimensional Kirsch problem for a transversely isotropic plate," Prikl. Mat. Mekh., 44, No. 6, 1066-1070 (1980).
16. H. B. Huntington, The Elastic Constants of Crystals, New York - London (1958).