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Finite boundary effects in problem of a crack perpendicular to and terminating at a bimaterial interface

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Abstract.

In this paper, the problem of a crack perpendicular to and terminating at an interface in bimaterial structure with finite boundaries is investigated. The dislocation simulation method and boundary collocation approach are used to derive and solve the basic equations. Two kinds of loading form are considered when the crack lies in a softer or a stiffer material, one is an ideal loading and the other one fits to the practical experiment loading. Complete solutions of the stress field including the T stress are obtained as well as the stress intensity factors. Influences of T stress on the stress field ahead of the crack tip are studied. Finite boundary effects on the stress intensity factors are emphasized. Comparisons with the problem presented by Chen et al. (Int. J. Solids and Structure, 2003, 40, 2731–2755) are discussed also.

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References

  1. Zak, A.R., Williams, M.L.: Crack point singularities at a bimaterial interface. J. Appl. Mech. (30), 142–143 (1963)

    Google Scholar 

  2. Cook, T.S., Erdogan, F.: Stress in bounded material with a crack perpendicular to the interface. Int. J. Engng. Sci. (10), 677–697 (1972)

    Google Scholar 

  3. Erdogan, F., Biricikoglu, B.: Two bonded half plane with a crack through the interface. Int. J. Engng. Sciences. 11, 745–766 (1973)

    Google Scholar 

  4. Bogy, D.B.: On the plane elastic problem of a loaded crack terminating a material interface. Int. J. Fract. 38, 911–918 (1971)

    Google Scholar 

  5. Wang, W.C., Chen, J.T.: Theoretical and experimental re-examination of a crack at a bimaterial interface. J. Strain Analysis 28, 53–61 (1993)

    Google Scholar 

  6. Wang, T.C., Stahle, P.: Stress state in front of a crack perpendicular to bimaterial interface. Engng. Fract. Mech. 59, 471–485 (1998)

    Google Scholar 

  7. Wang, T.C., Stahle, P.: A crack perpendicular to and terminating at a bimaterial interface. Acta. Mech. Sinica 14, 27–36 (1998)

    Google Scholar 

  8. Lin, K.Y., Mar, J.W.: Finite element analysis of a stress intensity factors for crack at a bimaterial interface. Int. J. Fract. 12, 521–531 (1976)

    Google Scholar 

  9. Meguid, S.A., Tan, M., Zhu, Z.H.: Analysis of crack perpendicular to bimaterial interface using a novel finite element. Int. J. Fract. 75, 1–25 (1995)

    Google Scholar 

  10. Chen, D.H.: A crack normal to and terminating at a bimaterial interface. Engng. Fract. Mech. 49, 517–523 (1994)

    Google Scholar 

  11. Suo, Z.G.: Singularities interacting with interface and cracks. Int. J. Solids Struct. 25, 1133–1142 (1989)

    Google Scholar 

  12. Stahle, P., Jens, G., Delfin, P.: Crack path in a weak elastic layer covering a beam. Acta. Mech. Solida Sinica 8, 579–583 (1995)

    Google Scholar 

  13. Leblond, J.B., Frelat, J.: Crack kinking from an initially closed crack. Int. J. Solids Struct. 37, 1595–1614 (2000)

    Google Scholar 

  14. Chen, Y.Z.: Closed form solutions of T-stress in plane elasticity crack problems. Int. J. Solids Struct. 37, 1629–1637 (2000)

    Google Scholar 

  15. Chen, S.H., Wang, T.C., Kao-Walter, S.: A crack perpendicular to the bimaterial interface in finite solid. Int. J. Solids Struct. 40, 2731–2755 (2003)

    Google Scholar 

  16. Gladwell, G.M.L.: Contact problem in the classical theory of elasticity. Sijthoff & Noordhoff, 1980, pp. 61–64

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Correspondence to Shaohua Chen.

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The project supported by the National Natural Science Foundation of China (10202023 and 10272103), and the Key Project of CAS (KJCX2-SW-L2).

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Chen, S., Wang, T. & Kao-Walter, S. Finite boundary effects in problem of a crack perpendicular to and terminating at a bimaterial interface. ACTA MECH SINICA 21, 56–64 (2005). https://doi.org/10.1007/s10409-004-0007-5

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  • DOI: https://doi.org/10.1007/s10409-004-0007-5

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