Opening-function simulation of the three-dimensional nonstationary interaction of cracks in an elastic body

International Applied Mechanics

Volumn 37, Issue 1, 2001, Pages 75-84

  Mikhas'kiv, V V ^a  

^a INSTITUTE OF HYDROBIOLOGY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035218310     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011364214291     Document Type: Article

References (17)

1. 1. N. M. Borodachev and V. A. Kol'tsov, "Stress intensity factors at the ends of two collinear mode I cracks under steady-state vibrations," Izv. Akad. Nauk SSSR, Mekh. Tv. Tela, No. 3, 119-126 (1984).
2. 2. A. N. Guz', V. D. Kubenko, and M. A. Cherevko, Diffraction of Elastic Waves [in Russian], Naukova Dumka, Kiev (1978).
3. 3. A. A. Kaminskii and D. A. Gavrilov, The Delayed Fracture of Polymeric and Composite Materials [in Russian], Naukova Dumka, Kiev (1992).
4. 4. G. S. Kit and M. V. Khai, The Method of Potentials in Three-Dimensional Thermoelastic Problems for Cracked Bodies [in Russian], Naukova Dumka, Kiev (1989).
5. 5. V. V. Mikhas'kiv, "Boundary integral equations for three-dimensional dynamic problems on an elastic space with arbitrary located cracks," Dop. NAN Ukrainy, No. 4, 38-41 (1995).
6. 6. V. V. Mikhas'kiv, "Application of classical wave potentials to the solution of three-dimensional dynamic problems on a crack in an elastic medium," Prikl. Mekh., 29, No. 5, 60-66 (1993).
7. 7. S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations [in Russian], Fizmatgiz, Moscow (1962).
8. 8. S. G. Mikhlin and V. D. Sapozhnikova, "Potentials of the wave equation," Izv. Vuzov., Mat., No. 9, 48-64 (1977).
9. 9. V. V. Panasyuk, Quasibrittle-Fracture Mechanics [in Russian], Naukova Dumka, Kiev (1991).
10. 10. Yu. N. Podil'chuk, Yu. K. Rubtsov, and P. N. Soroka, "Reflection of harmonic elastic waves from a convex cylindrical cavity with an arbitrary cross section," Teor. Prikl. Mekh., No. 22, 10-16 (1991).
11. 11. V. G. Popov, "The dynamic problem of the theory of elasticity for a plane containing a rigid crosslike inclusion," Prikl. Mekh. Mat., 57, No. 1, 110-115 (1993).
12. 12. L. A. Fil'shtinskii, "Diffraction of elastic waves by cracks, openings, and inclusions in an elastic medium," Izv. Akad. Nauk SSSR, Mekh. Tv. Tela, No. 4, 119-127 (1991).
13. 13. M. H. Aliabadi, Dynamic Fracture Mechanics, Computational Mechanics Publications, Southampton (1995).
14. 14. A. N. Guz', "Formulation of problems in dynamic fracture mechanics," Int. Appl. Mech., 35, No. 6, 531-536 (1999).
15. 15. H. S. Kit, M. V. Khaj, and V. V. Mykhas'kiv, "Analysis of dynamic stress concentration in an infinite body with parallel penny-shaped cracks by BIEM," Engng. Fracture Mech., 55, No. 2, 191-207 (1996).
16. 16. V. V. Mykhas'kiv, "Time-domain boundary element analysis in 3-D dynamic fracture mechanics," Boundary Elements Communications, 7, No. 6, 253-256 (1996).
17. 17. G. Ya. Popov, "Problems of stress concentration in the neighborhood of a spherical defect," Adv. Mech., 15, No. 1-2, 71-110 (1992).