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International Journal of Fracture

, Volume 148, Issue 1, pp 73–78 | Cite as

Crack-Tip Principal Stresses by Isochromatic and Isopachic Fringes at a Bi-material Interface

  • G. A. Papadopoulos
  • J. Kravaritis
  • B. Badalouka
Letters in fracture and micromechanics
  • 95 Downloads

Abstract

An experimental method of the principal stresses estimation which is based on photoelasticity and isopachic methods is presented. The principal stresses at the bi-material interface crack-tip are theoretically determined using the combination photoelastic and isopachic fringes. The size and the shape of crack-tip isochromatic and isopachic fringes, at a bi-material interface under static load, are studied. When the crack-tip, which is perpendicular to interface, is placed at the interface of the bi-material, the isochromatic and the isopachic fringes depend on the properties of the two materials. Thus, the isochromatic and the isopachic fringes are divided into two branches, which present a jump of values at the interface. The size of the two branches mainly depends on the elastic modulus and the Poisson’ s ratio of the two materials. From the combination of the isochromatic and the isopachic fringes, the principal stresses σ1 and σ2 can be estimated and the contour curves around the crack-tip can be plotted.

Keywords

cracks bimateria interface isochromatic fringes isopachic fringes contour of stresses 

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References

  1. Dally J.W., kobayashi T. (1978).Crack arrest in duplex specimens. International Journal of Solids and Structures 14, 121-126CrossRefGoogle Scholar
  2. Frocht M.M. (1948). Photoelasticity. John Willey, New YorkGoogle Scholar
  3. Papadopoulos G.A. (1993). Fracture Mechanics. The Experimental Method of Caustics and the Det.-Criterion of Fracture. Springer-Verlag, London LimGoogle Scholar
  4. Papadopoulos G.A. (1999). Crack-tip caustics at a bi-material interface. International journal of Fracture 98, 329-342CrossRefGoogle Scholar
  5. Papadopoulos G.A., Moscos N. (2006). Crack-tip isochromatic and isopachic fringes at a bi-material interface. International journal of Fracture 141, 327-332CrossRefGoogle Scholar
  6. Williams, M.L. (1952a). Surface stress singularities resulting from various boundary conditions in angular corners of plates under bending. Proceedings, First U.S. Nat. Congress of Applied Mechanics, ASME, 325-329.Google Scholar
  7. Williams M.L. (1952b). Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of Applied Mechanics 19 Trans. ASME 74, 526-528Google Scholar
  8. Williams M.L. (1957). On the stress at the base of a stationary crack. Journal of Applied Mechanics 24, Trans ASME 79: 109-114Google Scholar
  9. Williams M.L. (1959). The stresses around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America 49, 199-204Google Scholar
  10. Zak A.R., Williams M.L. (1963). Crack point stress singularities at a bimaterial interface. Journal of Applied Mechanics 30, 142-143Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • G. A. Papadopoulos
    • 1
  • J. Kravaritis
    • 1
  • B. Badalouka
    • 1
  1. 1.Department of Engineering Science, Section of MechanicsNational Technical University of AthensAthensGreece

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