Boundary integral equations in elastodynamics of interface cracks

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 366, Issue 1871, 2008, Pages 1835-1839

  Menshykov, O V ^a   Guz, I A ^a   Menshykov, V A ^b  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Boundary integrals; Crack; Elastodynamics; Interface

Indexed keywords

CRACK PROPAGATION; ELASTICITY; HARMONIC ANALYSIS; INTERFACES (MATERIALS); MOLECULAR DYNAMICS; PROBLEM SOLVING;

CRACKED SOLIDS; ELASTODYNAMICS; HALF SPACES; INTERFACE CRACKS;

BOUNDARY INTEGRAL EQUATIONS;

EID: 41849085221     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2007.2190     Document Type: Article

References (10)

1. Freund, L. B. 1990 Dynamic fracture mechanics. Oxford, UK: Cambridge University Press.
2. Graff, K. F. 1991 Wave motion in elastic solids. New York, NY: Dover Publications.
3. Guz, I. A., Menshykov, O. V. & Menshykov, V. A. 2006 Application of boundary integral equations to elastodynamics of an interface crack. Int. J. Fract. 140, 277-284. (doi: 10.1007/S10704-006-0108-1)
4. Martin, P. A. & Rizzo, F. J. 1989 On boundary integral equations for crack problems. Proc. R. Soc. A 421, 341-355. (doi:10.1098/rspa. 1989.0014)
5. Meiishikov, V. A., Meñshikov, A. V. & Guz, I. A. 2007 Interfacial crack between elastic half-spaces under harmonic loading. Int. Appl. Mech. 43, 865-873. (doi:10.1007/s10778-007-0087-6)
6. Menshykov, O. V. & Guz, I. A. 2006 Contact interaction of crack faces under oblique incidence of a harmonic wave. Int. J. Fract. 139, 145-152. (doi:10.1007/sl0704-006-832-7)
7. Menshykov, O. V. & Guz, I. A. 2007 Effect of contact interaction of the crack faces for a crack under harmonic loading. Int. Appl. Mech. 43, 809-815. (doi:10.1007/s10778-007-0082-4)
8. Mossakovskii, V. I. & Rybka, M. T. 1964 Generalization of the Griffith-Sneddon criterion for the case of a nonhomogeneous body. J. Appl. Math. Mech. 28, 1277-1286. (doi:10.1016/0021-8928(64)90039-5)
9. Ugodchikov, A. G. & Khutoryansky, N. M. 1986 Boundary elements method in mechanics of deformable solid. Kazan, Russia: Izd. Kazan University. [In Russian.]
10. Zhang, Ch. & Gross, D. 1998 On wave propagation in elastic solids with cracks. Southampton, UK: Computational Mechanics Publications.