International Journal of Fracture

, Volume 153, Issue 2, pp 177–184 | Cite as

Elastodynamic Response of Cracked Orthotropic Strip Under Impact Loading

Letters in Fracture and Micromechanics


The paper presents the elastodynamic response of an infinite orthotropic strip of finite width containing a central crack opened by suddenly applied stresses. Integral transforms are employed to reduce the transient problem to the solution of a pair of dual integral equations in the Laplace transform plane solved by iterations in the low frequency case. Analytic expressions for the dynamic stress intensity factors are obtained. Numerical results for two particular materials are given. The influence of different orthotropic constants on the magnitude of the overshoots in the stress intensity factors K 1(t) and K 2(t) are found.


orthotropic strip crack impact loading 


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  1. Bakshi A., Das S., Bera R.K. (2003) Impact response of a crack orthotropic medium - revisited. International Journal of Engineering Science 41: 2063–2079CrossRefMathSciNetGoogle Scholar
  2. Chen, E.P., Sih, G.C. (1977). Elastodynamic crack problems, Mechanics of Fracture 4, Noordhoff, Layden, The Netherlands, 71-93Google Scholar
  3. Cooke J.C. (1970) The solution of some integral equations and their connection with dual integral equations and series. Glasgow Mathematics Journal 11: 9–20MATHMathSciNetCrossRefGoogle Scholar
  4. Freund L.B. (1975). The Analysis of elastodynamic crack tip stress field in Mechanics today , 3 . Nematt-Nasser, S., ed., Pergamon Press, New YorkGoogle Scholar
  5. Kassi M.K. Bandopadhyay K.K. (1983) Impact response of a cracked orthotropic medium. ASME Journal of Applied Mechanics 50: 630–636CrossRefGoogle Scholar
  6. Nayfeh A.H. (1981) Introduction to Perturbation Techniques. John Wiley & Sons, New YorkMATHGoogle Scholar
  7. Papoulis A. (1957) The method of inversion of Laplace transform. Quarterly Applied Mathematics 14: 405–414MATHMathSciNetGoogle Scholar
  8. Viola E., Piva A. (1986) Effect of orthotropy on elastodynamic crack behaviour. Proceedings VIII AIMETA, Torino 1: 155–158Google Scholar
  9. Shindo Y. (1985) Impact response of a cracked soft ferromagnetic medium. Acta Mechanica 57: 99–112MATHCrossRefGoogle Scholar
  10. Sih G.C. (1977). Elastodynamic crack problems , Noordhoff International Publishing, Leyden.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of Applied Mathematics, Institute of TechnologyBanaras Hindu UniversityVaranasiIndia

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