Stress concentration near an elliptic crack in the interface between elastic bodies under steady-state vibrations

International Applied Mechanics

Volumn 40, Issue 6, 2004, Pages 664-671

  Mikhas'kiv, V V ^a   Sladek, J ^b   Sladek, V ^b   Stepanyuk, A I ^a  

^a PIDSTRYHACH INSTITUTE FOR APPLIED PROBLEMS OF MECHANICS AND MATHEMATICS   (Ukraine)

^b INSTITUTE OF CONSTRUCTION AND ARCHITECTURE   (Slovakia)

Author keywords

Elastic body; Interface; Mode I elliptic crack; Near surface waves; Regular kernel; Steady state vibrations; Three dimensional problem; Wave number

Indexed keywords

ELASTIC BODY; MODE I ELLIPTIC CRACK; REGULAR KERNEL; STEADY-STATE VIBRATIONS; THREE-DIMENSIONAL PROBLEMS; WAVE NUMBER;

CRACK INITIATION; ELASTIC MODULI; SURFACE PHENOMENA; SURFACE WAVES; VECTORS; VIBRATIONS (MECHANICAL);

INTERFACES (MATERIALS);

EID: 4544244336     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:INAM.0000041394.83873.2f     Document Type: Article

References (15)

1. V. T. Grinchenko and V. V. Meleshko, Harmonic Vibrations and Waves in Elastic Bodies [in Russian], Naukova Dumka, Kiev (1981).
2. A. N. Guz and V. V. Zozulya, Brittle Fracture of Materials under Dynamic Loads [in Russian], Naukova Dumka, Kiev (1993).
3. V. V. Mikhas'kiv and M. V. Hai, "Applying the image method to solve problems on steady-state vibrations of an infinite body with a flat cut," Izv. AN SSSR, Mekh. Tverd. Tela, No. 1, 122-126 (1989).
4. J. J. Rushchitsky and S. I. Tsurpal, Waves in Microstructural Materials [in Ukrainian], Inst. Mekh. Im. S. P. Timoshenka NAN Ukrainy, Kiev (1997).
5. V. Samukha and V. Loboda, "A plate with an interfacial crack under harmonic loading," in: Mathematical Problems of the Mechanics of Inhomogeneous Structures [in Ukrainian], Vol. 2, Inst. Prikl. Probl. Mekh. Mat. Im. Ya. S. Podstrigacha NAN Ukrainy, Lvov (2000), pp. 23-26.
6. M. V. Hai and A. I. Stepanyuk, "Interaction of cracks in a piecewise-homogeneous body," Prikl. Mekh., 28, No. 12, 46-56 (1992).
7. J. Balas, J. Sladek, and V. Sladek, Stress Analysis by Boundary Element Methods, Elsevier, Amsterdam (1989).
8. M. C. Chen, N. A. Noda, and R. J. Tang, "Application of finite-part integrals to planar interfacial fracture problems in three-dimensional bimaterials," Trans. ASME, J. Appl. Mech., 66, 885-890 (1999).
9. M. V. Dudik, L. A. Kipnis, and A. V. Pavlenko, "Analysis of plastic slip lines at the tip of a crack terminating at the interface of different media," Int. Appl. Mech., 38, No. 2, 197-202 (2002).
10. A. N. Guz, "Critical phenomena in cracking of the interface between two prestressed materials. 1. Problem formulation and basic relations," Int. Appl. Mech., 38, No. 4, 423-431 (2002).
11. A. N. Guz, "Critical phenomena in cracking of the interface between two prestressed materials. 2. Exact solution. The case of unequal roots," Int. Appl. Mech., 38, No. 5, 548-555 (2002).
12. 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," Eng. Fract. Mech., 55, No. 2, 191-207 (1996).
13. V. V. Mykhas'kiv and O. I. Stepanyuk, "Boundary integral analysis of the symmetric dynamic problem for an infinite bimaterial solid with an embedded crack," Mechanica, 36, No. 4, 479-495 (2001).
14. G. C. Sib, and E. P. Chen, "Axisymmetric elastodynamic response from normal and radial impact of layered composites with embedded penny-shaped crack," Int. J. Solids Struct., 16, 1093-1107 (1980).
15. Ch. Zhang and D. Gross, On Wave Propagation in Elastic Solids with Cracks, Comput. Mech. Publ., Southampton (1998).