journal article·2011-06

Dynamic response of interfacial finite cracks in orthotropic materials subjected to concentrated loads

C. Rubio-Gonzalez, E. Lira-Vergara

International Journal of Fracture· Volume 169· Issue 2
Publisher page

Abstract

The elastodynamic response of an infinite non-homogeneous orthotropic material with an interfacial finite crack under concentrated normal and shear impact loads is examined. Solution for the stress intensity factor history around the crack tips is found. Laplace and Fourier transforms are employed to solve the equations of motion leading to a Fredholm integral equation on the Laplace transform domain. The dynamic stress intensity factor history can be computed by numerical Laplace transform inversion of the solution of the Fredholm equation. Numerical values of the dynamic stress intensity factor history for some materials are obtained. Interfacial cracks between two different materials and between two pieces of the same material but different fiber orientation are considered. This solution can be used as a Green’s function to solve dynamic problems involving interfacial finite cracks in orthotropic bimaterials.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Numerical methods in engineering · Geotechnical Engineering and Underground Structures · Fatigue and fracture mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (27)

Show source-provided references
1. Achenbach JD (1973) Wave propagation in elastic solid. North-Holland Publishing Company, North-Holland
2. Atkinson KE (1997) The numerical solution of integral equations of the second kind. Cambridge University Press, New York10.1017/CBO9780511626340 ↗
3. Chen J, Liu Z, Zou Z (2002) Transient internal crack problem for a nonhomogeneous orthotropic strip (mode i). Int J Eng Sci 40: 1761–177410.1016/S0020-7225(02)00038-1 ↗
4. Debnath L (1995) Integral transforms and their applications. CRC Press, Boca Raton
5. Dineva P, Gross D, Rangelov T (2002) Dynamic behavior of a bi-material interface-cracked plate. Eng Fract Mech 69: 1193–121810.1016/S0013-7944(01)00135-7 ↗
6. Dineva P, Rangelov T, Gross D (2005) Biem for 2d steady-state problems in cracked anisotropic materials. Eng Anal Bound Elem 29(7): 689–69810.1016/j.enganabound.2005.02.006 ↗
7. Itou S (2001) Transient dynamic stress intensity factors around a crack in a nonhomogeneous interfacial layer between two dissimilar elastic half-planes. Int J Solids Struct 38: 3631–364510.1016/S0020-7683(00)00231-6 ↗
8. Kassir MK, Bandyopadhyay KK (1983) Impact response of a cracked orthotropic medium. ASME J Appl Mech 50: 630–63610.1115/1.3167101 ↗
9. Kuo AY (1984) Transient intensity factors of an interfacial crack between two dissimilar anisotropic half-spaces. Part 1, orthotropic materials. J Appl Mech 51: 71–7610.1115/1.3167600 ↗
10. Lei J, Wang Y, Gross D (2003) Dynamic interaction between a sub-interface crack and the interface in a bi-material: time-domain bem analysis. Arch Appl Mech 73: 225–24010.1007/s00419-003-0281-x ↗
11. Lira-Vergara E, Rubio-Gonzalez C (2005) Dynamic stress intensity factor of interfacial finite cracks in orthotropic materials. Int J Fract 135: 285–30910.1007/s10704-005-4292-1 ↗
12. Matbuly M (2006) Analytical solution for an interfacial crack subjected to dynamic anti-plane shear loading. Acta Mech 184: 77–8510.1007/s00707-006-0330-y ↗
13. Nayfeh AH (1995) Wave propagation in layered anisotropic media with applications to composites. North-Holland Publishing Company, North-Holland
14. Papoulis A (1962) The fourier integral and its applications. McGraw Hill Inc, New York
15. Poruchikov VB (1993) Methods of the classical theory of elastodynamics. Springer, New York10.1007/978-3-642-77099-9 ↗
16. Rubio-Gonzalez C (2001) Elastodynamic analysis of the finite punch and finite crack problems in orthotropic materials. Int J Fract 112: 355–37810.1023/A:1013551222324 ↗
17. Rubio-Gonzalez C, Mason J (1999) Response of finite cracks in orthotropic materials due to concentrated impact shear loads. J Appl Mech 66(2): 485–49110.1115/1.2791073 ↗
18. Rubio-Gonzalez C, Mason J (2001) Green’s functions for the stress intensity factor evolution in finite cracks in orthotropic materials. Int J Fract 108: 317–33610.1023/A:1011099515888 ↗
19. Shin D, Lee J (2001) Fracture parameters of interfacial crack of bimaterial under impact loading. Int J Solids Struct 38: 5303–532210.1016/S0020-7683(00)00399-1 ↗
20. Shul CW, Lee KY (2001) Dynamic response of subsurface interface crack in multi-layered orthotropic half-space under anti-plane shear impact loading. Int J Solids Struct 38: 3563–357410.1016/S0020-7683(00)00216-X ↗
21. Sladek J, Sladek V, Wunsche M, Zhang C (2009) Interface crack problems in anisotropic solids analyzed by the mlpg. CMES Comput Model Eng Sci 54(2): 223–252
22. Sneddon IN (1966) Mixed boundary value problems in potential theory. North-Holland Publishing Company, North-Holland
23. Song C, Tin-Loia F, Gao W (2010) Transient dynamic analysis of interface cracks in anisotropic bimaterials by the scaled boundary finite-element method. Int J Solids Struct 47(7): 978–98910.1016/j.ijsolstr.2009.12.015 ↗
24. Song C, Vrcelj Z (2008) Evaluation of dynamic stress intensity factors and t-stress using the scaled boundary finite-element method. Eng Fract Mech 75(8): 1960–198010.1016/j.engfracmech.2007.11.009 ↗
25. Wang Y, Gross D (2001) Transfer matrix method of wave propagation in a layered medium with multiple interface cracks: anti-plane case. J Appl Mech 68: 499–50310.1115/1.1360180 ↗
26. Willis JR (1973) Self-similar problems in elastodynamics. Phil Trans R Soc (London) 274: 435–49110.1098/rsta.1973.0073 ↗
27. Wunsche M, Zhang C, Sladek J, Sladek V, Hirose S, Kuna M (2009) Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading. Int J Fract 157: 131–14710.1007/s10704-008-9262-y ↗