Cracked Elastic Bi-Material Layer Under Compressive Loads
Source abstract
Abstract
The boundary value problem of an elastic bi-material layer containing a finite length crack under compressive mechanical loadings has been studied. The crack is located on the bi-material interface and the contact between crack surfaces is frictionless. Based on Fourier integral transformation techniques the solution of the formulated problem is reduced to the solution of singular integral equation, then, with Chebyshev`s orthogonal polynomials, to infinite system of linear algebraic equations. The expressions for contact stresses in the elastic compound layer are presented.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Material Properties and Failure Mechanisms · Elasticity and Wave Propagation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (13)
Show source-provided references
1. Arun Roy Y., Narasimhan R., Arora P.R. (1999) An experimental investigation of constraint effects on mixed mode fracture initiation in a ductile aluminum alloy. Acta Mater. 47: 1587–159610.1016/S1359-6454(99)00015-4 ↗
2. Deng X. (1995) Mechanics of debonding and delamination in composites: asymptotic studies. Composites Engineering 5: 1299–131510.1016/0961-9526(95)00052-O ↗
3. El-Borgi, S., Abdelmoula, R., Keer, L., 2006. A receding contact plane problem between a functionally graded layer and a homogeneous substrate. International Journal of Solids and Structures 43, pp. 658–674.10.1016/j.ijsolstr.2005.04.017 ↗
4. England A. H. (1965) A crack between dissimilar media. ASME J. Appl. Mech. 32: 400–40210.1115/1.3625813 ↗
5. Erdogan, G.D., Gupta, T.S., Cook, T.S., 1973. The numerical solutions of singular integral equations. In: Method of Analysis and Solutions of Crack Problems. Noordhoff International Publishing, Leyden, pp. 268–425.10.1007/978-94-017-2260-5_7 ↗
6. Gautesen A.K., Dundurs J., (1988) The interface crack under combined loading. ASME J. Appl. Mech. 55: 580–586.10.1115/1.3125833 ↗
7. Keer, L.M., Dundurs, J., Tasi, K.C., 1972. Problems involving a receding contact between a layer and a half-space. ASME J. Appl. Mech, 39, pp. 1115–1120.10.1115/1.3422839 ↗
8. Klubin, P.I., 1969. Distribution of contact pressures between a plate with a base that is not flat and an elastic half-plane, Soil Mechanics and Foundation Engineering, No. 5, pp. 10–12, September–October.10.1007/BF01706302 ↗
9. Lehner, F, Kachanov, M, 1996. On modeling of wing cracks under compression. Int J Fract;77: R69–75.10.1007/BF00036257 ↗
10. Makaryan, V. , Sutton, M., Hasanyan, D., Deng, X., 2011. Cracked elastic layer under compressive mechanical loads, Int. J. of Solids and Structures 48, 1210–1218.10.1016/j.ijsolstr.2011.01.004 ↗
11. Prudnikov, A.P., Brichkov, Y.A., Marichev, O.I., 1998. Integrals and Series, vol. 2. Gordon & Beach Science Publishers.
12. Watson, G.N., 1995. A Treatise on the Theory of Bessel Functions, Second Edition, Cambridge University Press.
13. Willis J. R., 1971, Fracture mechanics of interfacial cracks. J. Mech. Phys. Solids, Vol. 19, pp. 353-368.10.1016/0022-5096(71)90004-4 ↗