The general problem for an arbitrarily oriented crack in a FGM layer1
Source abstract
Abstract
In this paper, the plane elasticity problem for an unconstrained FGM layer containing an arbitrarily oriented crack is considered. It is assumed that the elastic properties of the material are exponential functions of the thickness coordinate. The problem is formulated in terms of a system of Cauchy-type singular integral equations, which can be solved numerically. The stress intensity factors at the crack tips are computed for mechanical loads. A complete parametric study, by varying both the geometric and material parameters is conducted.
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Research context
OpenAlex topics: Numerical methods in engineering · Elasticity and Wave Propagation · Fluid Dynamics Simulations and Interactions
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References (15)
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1. Clements, D.L., Atkinson, C. and Rogers, C. (1978). Antiplane crack problems for an inhomogeneous elastic material. Acta Mechanica 29(1–4): 199–211.10.1007/BF01176637 ↗
2. Delale, F. and Erdogan, F. (1983). The crack problem for a nonhomogeneous plane. Journal of Applied Mechanics 50(3): 609–614.10.1115/1.3167098 ↗
3. Dhaliwal, R.S. and Singh, B.M. (1978). On the theory of elasticity of a nonhomogeneous medium. Journal of Elasticity 8(2): 211–219.10.1007/BF00052484 ↗
4. Erdogan, F. (1978). Mixed Boundary-value Problems in Mechanics. Mechanics Today 4: 1–86.
5. Erdogan, F. and Wu, H.H. (1996). Crack problems in FGM layers under thermal stresses. Journal of Thermal Stresses 19(3): 237.10.1080/01495739608946172 ↗
6. Erdogan, F. and Wu, H.H. (1997). The surface crack problem for a plate with functionally graded properties. Journal of Applied Mechanics 64(3): p. 449.10.1115/1.2788914 ↗
7. Gerasoulis, A. and Srivastav, R.P. (1980). Griffith crack problem for a nonhomogeneous medium. International Journal of Engineering Science 18(1): 239–247.10.1016/0020-7225(80)90023-3 ↗
8. Golberg, M.A. (1990). Numerical Solution of Integral Equations. Mathematical Concepts and Methods in Science and Engineering (edited by A. Miele). Plenum Press, New York.
9. Jin, Z.-H. and Noda, N. (1994). Crack-tip singular fields in nonhomogeneous materials. Journal of Applied Mechanics 61: 738–740.10.1115/1.2901529 ↗
10. Krenk, S. (1975). On the elastic strip with an internal crack. International Journal of Solids and Structures 11(6): 693–708.10.1016/0020-7683(75)90021-9 ↗
11. Konda, N. and Erdogan, F. (1994). The mixed mode crack problem in a nonhomogeneous elastic medium. Engineering Fracture Mechanics, p. 533–546.10.1016/0013-7944(94)90253-4 ↗
12. Long, X. (2003). The Mixed Mode Fracture of Functionally Graded Materials, Doctoral dissertation, Department of Mechanical Engineering. City University of New York, New York City.
13. Peters, A.S. (1963). A note on the integral equation of the first kind with a Cauchy kernel. Communications on Pure and Applied Mathematics 16: 57–61.10.1002/cpa.3160160108 ↗
14. Rogers, C. and Clements, D.L. (1978). Bergman's integral operator method in inhomogeneous elasticity. Quarterly of Applied Mathematics 36(3): 315–321.10.1090/qam/508775 ↗
15. Schovanec, L. (1986). Griffith crack problem for an inhomogeneous elastic material. Acta Mechanica 58(1–2): 67–80.10.1007/BF01177107 ↗