Structural Engineering and Mechanics

  • 제67권3호
  • /
  • Pages.277-281
  • /
  • 2018
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Transient analysis of two dissimilar FGM layers with multiple interface cracks

  • Fallahnejad, Mehrdad (Department of Mechanical Engineering, Mechatronics Faculty, Karaj Branch, Islamic Azad University) ;
  • Bagheri, Rasul (Department of Mechanical Engineering, Mechatronics Faculty, Karaj Branch, Islamic Azad University) ;
  • Noroozi, Masoud (Department of Mechanical Engineering, Mechatronics Faculty, Karaj Branch, Islamic Azad University)
  • 투고 : 2017.11.06
  • 심사 : 2018.05.18
  • 발행 : 2018.08.10
⟨ 이전 논문 다음 논문 ⟩

초록

The analytical solution of two functionally graded layers with Volterra type screw dislocation is investigated under anti-plane shear impact loading. The energy dissipation of FGM layers is modeled by viscous damping and the properties of the materials are assumed to change exponentially along the thickness of the layers. In this study, the rate of gradual change ofshear moduli, mass density and damping constant are assumed to be same. At first, the stress fields in the interface of the FGM layers are derived by using a single dislocation. Then, by determining a distributed dislocation density on the crack surface and by using the Fourier and Laplace integral transforms, the problem are reduce to a system ofsingular integral equations with simple Cauchy kernel. The dynamic stress intensity factors are determined by numerical Laplace inversion and the distributed dislocation technique. Finally, various examples are provided to investigate the effects of the geometrical parameters, material properties, viscous damping and cracks configuration on the dynamic fracture behavior of the interacting cracks.

키워드

참고문헌

  1. Babaei, R. and Lukasiewicz, S.A. (1998), "Dynamic response of a crack in a functionally graded material between two dissimilar half planes under anti-plane shear impact load", Eng. Fract. Mech., 60(4), 479-487. https://doi.org/10.1016/S0013-7944(98)00013-7
  2. Bagheri, R., Ayatollahi, M. and Mousavi, S.M. (2015), "Analysis of cracked piezoelectric layer with imperfect non-homogeneous orthotropic coating", Int. J. Mech. Sci., 93, 93-101. https://doi.org/10.1016/j.ijmecsci.2014.11.025
  3. Chen, Z.T. and Worswiek, M.J. (2000), "Dynamic response of two coplanar cracks in a half space under antiplane shear", Mech. Res. Commun., 27(6), 691-696. https://doi.org/10.1016/S0093-6413(00)00150-6
  4. Chen, Z.T. (2006), "Dynamic fracture mechanics study of an electrically impermeable mode III crack in a transversely isotropic piezoelectric material under pure electric load", Int. J. Fract., 141(3-4), 395-402. https://doi.org/10.1007/s10704-006-9003-z
  5. Cohen, A.M. (2007), Numerical Methods for Laplace Transform Inversion, Springer, Berlin, Germany.
  6. Erdogan, F., Gupta, G.D. and Cook, T.S. (1973), Numerical Solution of Singular Integral Equations, In: Sih, G.C. (Ed.) Methods of Analysis and Solutions of Crack Problems. Mechanics of Fracture, Springer, the Netherlands, 1, 368-425.
  7. Guo, L.C., Wu, L.Z., Zeng, T. and Cao, D.H. (2005), "The transient response of a coating-substrate structure with a crack in the functionally graded interfacial layer", Compos. Struct., 70(1), 109-119. https://doi.org/10.1016/j.compstruct.2004.08.017
  8. Itou, S. (2007), "Transient dynamic stress intensity factors around two rectangular cracks in a nonhomogeneous interfacial layer between two dissimilar elastic half-spaces under impact load", Acta. Mech., 192(1-4), 89-110. https://doi.org/10.1007/s00707-006-0415-7
  9. Li, Y.D., Lee, K.Y. and Dai, Y. (2008), "Dynamic stress intensity factors of two collinear mode-III cracks perpendicular to and on the two sides of a bi-FGM weak-discontinuous interface", Eur. J. Mech. A/Sol., 27(5), 808-823. https://doi.org/10.1016/j.euromechsol.2007.11.006
  10. Shul, C.W. and Lee, K.Y. (2001), "Dynamic response of subsurface interface crack in multi-layered orthotropic halfspace under anti-plane shear impact loading", Int. J. Sol. Struct., 38(20), 3563-3574. https://doi.org/10.1016/S0020-7683(00)00216-X
  11. Shul, C.W. and Lee, K.Y. (2002), "A subsurface eccentric crack in a functionally graded coating layer on the layered half-space under an anti-plane shear impact load", Int. J. Sol.. Struct., 39(7), 2019-2029. https://doi.org/10.1016/S0020-7683(02)00016-1
  12. Vafa, J.P., Baghestani, A.M. and Fariborz, S.J. (2015), "Transient screw dislocation in exponentially graded FG layers", Arch. Appl. Mech., 85(1), 1-11. https://doi.org/10.1007/s00419-014-0896-0
  13. Wei, P.J., Zhang, S.Y., Wu, Y.L. and Li, R. (2000), "Dynamic SIF of interface crack between two dissimilar viscoelastic bodies under impact loading", Int. J. Fract., 105(2), 127-136. https://doi.org/10.1023/A:1007638332556
  14. Wang, B.L. and Mai, Y.W. (2006), "A periodic array of cracks in functionally graded materials subjected to transient loading", Int. J. Eng. Sci., 44(5-6), 351-364. https://doi.org/10.1016/j.ijengsci.2005.12.007
  15. Wu, K.C. and Chen, J.C. (2011), "Transient analysis of collinear cracks under anti-plane dynamic loading", Proc. Eng., 10, 924-929. https://doi.org/10.1016/j.proeng.2011.04.152
  16. Weertman, J. (1996), Dislocation Based Fracture Mechanics, World Scientific Publishing Co., Singapore.
  17. Yongdong, L., Wei, T. and Hongcai, Z. (2006), "Anti-plane transient fracture analysis of the functionally gradient elastic bimaterial weak/infinitesimal-discontinuous interface", Int. J. Fract., 142(1-2), 163-171. https://doi.org/10.1007/s10704-006-9041-6
  18. Zhang, C., Sladek, J. and Sladek, V. (2003), "Effects of material gradients on transient dynamic mode-III stress intensity factors in a FGM", Int. J. Sol. Struct., 40(20), 5251-5270. https://doi.org/10.1016/S0020-7683(03)00243-9