On Elastic Compliances of Interfacial Cracks
Source abstract
Abstract
Results for elastic compliances of interfacial cracks — quantities that determine change in the overall elastic compliances of a material due to interfacial cracks — are obtained. Such cracks may develop in composite materials as a result of debonding at inclusion/matrix interfaces or at boundaries between layers in layered materials, for example, at film/substrate interfaces. Our method is based on the thermodynamic formalism developed by Rice (1975) and utilization of the available results for the stress intensity factors (SIFs). Compliance contribution tensors of the rectilinear, circular and penny-shaped interfacial cracks are derived in closed form.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Numerical methods in engineering · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (14)
Show source-provided references
1. Anderson, P.M. (1988) Small scale contact conditions for the linear elastic interface crack”, ASME Journal of Applied Mechanics, 55, pp. 814-81710.1115/1.3173726 ↗
2. Bristow, J.R. (1960) Microcracks and the static and dynamic elastic constants of annealed heavily cold-worked metals, British Journal of Applied Physics, 11, pp.81-8510.1088/0508-3443/11/2/309 ↗
3. Hutchinson, J.W. Mear M.E. and Rice, J.R. (1987) Crack paralleling an interface between dissimilar materials, Journal of Applied Mechanics, 54, pp. 828-83210.1115/1.3173124 ↗
4. Irwin, G.R. (1957) Journal of Applied Mechanics, 24, pp. 36110.1115/1.4011547 ↗
5. Kachanov, M. (1993) Elastic solids with many cracks and related problems, In: Advances in Applied Mechanics (Hutchinson, J. and Wu, T. eds), Academic Press, New York, pp. 259-445
6. Kachanov, M., Tsukrov, I. and Shafiro, B. (1994) Effective moduli of solids with cavities of various shapes. Appl. Mech. Reviews, 47(1), 5151-5174
7. Prasad, P.B.N and Simha, K.R.Y. (2003) Interface crack around circular inclusion: SIF, kinking, debonding energetics, Engineering Fracture Mechanics, 70, pp. 285-30710.1016/S0013-7944(02)00026-7 ↗
8. Rice, J.R. (1975) Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanics, In: Constitutive equations in plasticity (Argon, A. ed), MIT Press Cambridge, pp. 22-73
9. Rice, J.R. (1988) Elastic fracture mechanics concepts for interfacial cracks, Journal of Applied Mechanics, 55, pp. 98-10310.1115/1.3173668 ↗
10. Sevostianov, I. and Kachanov, M. (2002), On elastic compliances of irregularly shaped cracks, International Journal of Fracture, 114, pp. 245-25710.1023/A:1015534127172 ↗
11. Toya M., (1974), “A crack along the interface of a circular inclusion embedded in an infinite solid”, Journal of Mechanics and Physics of Solids, 22, pp. 325-34810.1016/0022-5096(74)90002-7 ↗
12. Willis, J.R. (1971), Fracture mechanics of interfacial cracks', Journal of Mechanics and Physics of Solids, 19, pp.353-36810.1016/0022-5096(71)90004-4 ↗
13. Willis J.R., (1972) The penny-shaped crack on an interface. Q.J. Mech. Appl. Math., 25, pp.365-38510.1093/qjmam/25.3.367 ↗
14. Wu K.C., (1990) Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials, Journal of Applied Mechanics, 57, pp. 882-88610.1115/1.2897656 ↗