Solution of three-dimensional problems of the dynamic theory of elasticity for bodies with cracks using hypersingular integrals

International Applied Mechanics

Volumn 36, Issue 1, 2000, Pages 74-81

  Zozulya, V V ^a   Men'shikov V A ^b  

^a Yucatan Development Center   (Mexico)

^b NATIONAL AEROSPACE UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033634582     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02681961     Document Type: Article

References (7)

1. 1. J. Hadamard, Cauchy Problems for Linear Partial Differential Equations of Hyperbolic Type [Russian translation], Nauka, Moscow (1978).
2. 2. C. A. Brebbia, J. C. F. Telles, and L. C. Wrobel, Boundary-Element Methods [Russian translation]. Mir. Moscow (1987).
3. 3. I. M. Gel'fand and G. E. Shilov, Distributions and Operations on Them [in Russian], Fizmatgiz, Moscow (1959).
4. 4. R. V. Gol'dshtein and A. V. Kaptsov, "The integro-differential equations of a nonstationary dynamic three-dimensional problem of a crack in an elastic medium," Izv. AN SSSR. Mekh. Tverd. Tela, No. 5, 74-80 (1983).
5. 5. A. N. Guz' and V. V. Zozulya, Brittle Fracture of Material under Dynamic Loading, Vol. 4 of the four-volume Nonclassical Problems of Fracture Mechanics, Naukova Dumka, Kiev (1993).
6. 6. R. Courant, Partial Differential Equations [Russian translation]. Mir, Moscow (1964).
7. 7. A. M. Lin'kov and S. G. Mogilevskaya, "Finite-partial integrals in problems of spatial cracks," Prikl. Mat. Mekh., 50, No. 5, 844-850 (1986).