Skip to main content

Fracture Mechanics of An Interface Crack between a Special Pair of Transversely Isotropic Materials

  • Chapter
Multiscale Deformation and Fracture in Materials and Structures

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 84))

Abstract

In this investigation, the Stroh formulation is employed to develop the stress and displacement fields in the vicinity of an interface crack between two specially oriented transversely isotropic materials. The lower material is mathematically degenerate. In addition, a conservative integral is employed in conjunction with the finite element method to calculate stress intensity factors. The derived stress and displacement fields are used as auxiliary fields in the M-integral for extraction of the stress intensity factors. As a benchmark problem for this calculation, the asymptotic displacements are prescribed on the boundary of a circular domain. Excellent numerical results are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Banks-Sills, L. and Sherman, D.(1992) On the computation of stress intensity factors for three-dimensional geometries by means of the stiffness derivative and J-integral methods, International Journal of Fracture 53, 1–20.

    Google Scholar 

  • Banks-Sills, L., Travitzky, N., Ashkenazi, D. and Eliasi, R. (1999) A methodology for measuring interface fracture properties of composite materials, International Journal of Fracture 99, 143–161.

    Article  Google Scholar 

  • Bassani, J. and Qu, J. (1989) Finite crack on bimaterial and bicrystal interfaces. Journal of the Mechanics and Physics of Solids 37, 434–453.

    Article  ADS  Google Scholar 

  • Bathe, K.J., (1999) ADINA-Automatic Dynamic Incremental Nonlinear Analysis System, Version 7.3, Adina Engineering, Inc. USA.

    Google Scholar 

  • Charalambides P.G. and Zhang, W. (1996) An energy method for calculating the stress intensities in orthotropic bimaterial fracture, International Journal of Fracture 76, 97–120.

    Article  Google Scholar 

  • Deng, X. (1993) General crack-tip fields for stationary and steadily growing interface cracks in anisotropic bimaterials. Journal of Applied Mechanics 60, 183–189.

    Article  MATH  Google Scholar 

  • Dundurs, J. (1969) Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading, Journal of Applied Mechanics 36, 650–652.

    Google Scholar 

  • Gosz, M., Dolbow, J. and Moran, B. (1998) Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks, International Journal of Solids and Structures 35, 1763–1783.

    Article  MATH  Google Scholar 

  • Hutchinson, J.W. (1990) Mixed-mode fracture mechanics of interfaces, in M. Rühle, A.G. Evans, M.F. Ashby, J.P. Hirth (eds.), Metal-Ceramic Interfaces, Pergamon Press, Oxford, 295–301.

    Google Scholar 

  • Matos, P.P.L., McMeeking, R.M., Charalambides, P.G. and Drory, M.D. (1989) A method for calculating stress intensities in bimaterial fracture, International Journal of Fracture 40, 235–254.

    Article  Google Scholar 

  • Nahta, R. and Moran, B. (1993) Domain integrals for axisymmetric interface crack problems, International Journal of Solids and Structures 30, 2027–2040.

    Article  MATH  Google Scholar 

  • Nakamura, T. (1991) Three-dimensional stress fields of elastic interface cracks, Journal of Applied Mechanics 58, 939–946.

    Article  Google Scholar 

  • Pagano, N. (1999) Personal communication.

    Google Scholar 

  • Qu, J and Bassani J.L. (1989) Cracks on bimaterial and bicrystal interfaces. Journal of the Mechanics and Physics of Solids 37, 417–434.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  • Rice, J.R. (1988) Elastic fracture mechanics concepts for interfacial cracks, Journal of Applied Mechanics 55, 98–103.

    Article  Google Scholar 

  • Rice, J.R., Suo, Z., and Wang, J.-S. (1990) Mechanics and thermodynamics of brittle interface failure in bimaterial systems. in M. Rühle, A.G. Evans, M.F. Ashby, J.P. Hirth (eds), Metal-Ceramic Interfaces, Pergamon Press, Oxford, 269–294.

    Google Scholar 

  • Shih, C.F. and Asaro, R.J. (1988) Elastic-plastic analysis of cracks on bimaterial interfaces: part I-small scale yielding, Journal of Applied Mechanics 55, 299–316.

    Article  Google Scholar 

  • Stroh, A.N. (1958) Dislocations and cracks in anisotropic elasticity, Philosophical Magazine 7, 625–646.

    Article  MathSciNet  ADS  Google Scholar 

  • Suo, Z. Singularities, interfaces and cracks in dissimilar anisotropic media, Proceedings of the Royal Society, London 427, 331–358.

    Google Scholar 

  • Ting, T.C.T. (1986) Explicit solution and invariance of the singularities at an interface crack in anisotropic composites, International Journal of Solids and Structures 22, 965–983.

    Article  MATH  MathSciNet  Google Scholar 

  • Ting, T.C.T. and Hwu, C. (1988) Sextic formalism in anisotropic elasticity for almost non-semisimple matrix N, International Journal of Solids and Structures 24, 65–76.

    Article  MATH  Google Scholar 

  • Ting, T.C.T. (1990) Interface cracks in anisotropic bimaterials, Journal of the Mechanics and Physics of Solids 38, 505–513.

    Article  ADS  Google Scholar 

  • Ting, T.C.T. (1992) Interface cracks on anisotropic elastic bimaterials-a decomposition principle, International Journal of Solids and Structures 29, 1989–2003.

    Article  MATH  Google Scholar 

  • Ting, T.C.T. (1996) Anisotropic Elasticity-Theory and Applications, Oxford University Press, Oxford.

    MATH  Google Scholar 

  • Wang, S.S. and Yau, J.F. (1981) Interfacial cracks in adhesively bonded scarf joints, American Institute of Aeronautics and Astronautics Journal 19, 1350–1356.

    MATH  Google Scholar 

  • Yau, J.F., Wang, S.S. and Corten, H.T. (1980) A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. Journal of Applied Mechanics 47, 335–341.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Kluwer Academic Publishers

About this chapter

Cite this chapter

Banks-Sills, L., Boniface, V. (2000). Fracture Mechanics of An Interface Crack between a Special Pair of Transversely Isotropic Materials. In: Chuang, T.J., Rudnicki, J.W. (eds) Multiscale Deformation and Fracture in Materials and Structures. Solid Mechanics and Its Applications, vol 84. Springer, Dordrecht. https://doi.org/10.1007/0-306-46952-9_11

Download citation

  • DOI: https://doi.org/10.1007/0-306-46952-9_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6718-5

  • Online ISBN: 978-0-306-46952-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics