Abstract
The elastodynamic response of an infinite non-homogeneous orthotropic material with an interfacial finite crack under distributed 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. Bimaterial formulation of a crack problem is shown to converge to the mono-material formulation, derived independently, in the limiting case when both materials are the same.
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References
K.E. Atkinson (1997) The Numerical Solution of Integral Equations of the Second Kind Cambridge University Press New York, NY
J. Chen Z. Liu Z. Zou (2002) ArticleTitleTransient internal crack problem for a nonhomogeneous orthotropic strip (mode i) International Journal of Engineering Science 40 1761–1774
L. Debnath (1995) Integral Transforms and their Applications CRC Press Boca Raton, FL
L.B. Freund (1990) Dynamic Fracture Mechanics Cambridge University Press New York, NY
S. Itou (2001) ArticleTitleTransient dynamic stress intensity factors around a crack in a nonhomogeneous interfacial layer between two dissimilar elastic half-planes International Journal of Solids Structures 38 3631–3645 Occurrence Handle0985.74025
M.K. Kassir K.K. Bandyopadhyay (1983) ArticleTitleImpact response of a cracked orthotropic medium ASME, Journal of Applied Mechanics 50 630–636
A.Y. Kuo (1984) ArticleTitleTransient intensity factors of an interfacial crack between two dissimilar anisotropic half-spaces. Part 1, orthotropic materials Journal of Applied Mechanics 51 71–76 Occurrence Handle0548.73084
A.H. Nayfeh (1995) Wave Propagation in Layered Anisotropic Media with Applications to Composites North-Holland Publishing Company North-Holland
A. Papoulis (1962) The Fourier Integral and Its Applications McGraw Hill, Inc. New York, NY
V.B. Poruchikov (1993) Methods of the Classical Theory of Elastodynamics Springer-Verlag New York, NY
C. Rubio-Gonzalez J. Mason (1999) ArticleTitleResponse of finite cracks in orthotropic materials due to concentrated impact shear loads Journal of Applied Mechanics 66 IssueID2 485–491
C. Rubio-Gonzalez J. Mason (2000) ArticleTitleDynamic stress intensity factors at the tip of a uniformly loaded semi-in.finite crack in an orthotropic material Journal of the Mechanics and Physics of Solids 48 IssueID5 899–925 Occurrence Handle10.1016/S0022-5096(99)00063-0 Occurrence Handle1746549
C. Rubio-Gonzalez J. Mason (2001) ArticleTitleGreen’s functions for the stress intensity factor evolution in finite cracks in orthotropic materials International Journal of Fracture 108 317–336 Occurrence Handle10.1023/A:1011099515888
C. Rubio-Gonzalez (2001) ArticleTitleElastodynamic analysis of the finite punch and finite crack problems in orthotropic materials International Journal of Fracture 112 355–378 Occurrence Handle10.1023/A:1013551222324
C.W. Shul K.Y. Lee (2001) ArticleTitleDynamic response of subsurface interface crack in multi-layered orthotropic half-space under anti-plane shear impact loading International Journal of Solids Structures 38 3563–3574
J.R. Willis (1973) ArticleTitleSelf-similar problems in elastodynamics Phil. Trans. Royal Soc. (London) 274 435–491 Occurrence Handle1973RSPTA.274..435W Occurrence Handle0317.73062 Occurrence Handle49 #1877
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Lira-Vergara, E., Rubio-Gonzalez, C. Dynamic Stress Intensity Factor of Interfacial Finite Cracks in Orthotropic Materials. Int J Fract 135, 285–309 (2005). https://doi.org/10.1007/s10704-005-4292-1
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DOI: https://doi.org/10.1007/s10704-005-4292-1