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Solution of the problems of antiplane deformation for bodies with thin ribbonlike inclusions by the methods of integral equations. II. Analysis of the stress concentration and stress intensity

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Materials Science Aims and scope

On the basis of pure physical reasoning, we deduce the relationship between the stresses acting at the tip of a defect and the coefficients of root singularity of the stress field, i.e., the generalized stress intensity factors. We propose approximate relations for the evaluation of the generalized stress intensity factors. The efficiency of the proposed approach is demonstrated by comparing the results of numerical analyses of specific problems performed by using the proposed and direct approaches.

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  1. Ya. M. Pasternak and H. T. Sulym, “Solution of the problems of antiplane deformation of bodies with thin ribbonlike inclusions by the methods of integral equations. І. General relations,” Fiz.-Khim. Mekh. Mater., 47, No. 1, 37–43 (2011); English translation: Mater. Sci., 47, No. 1, 36-44 (2011)

    Google Scholar 

  2. H. T. Sulym, Fundamentals of the Mathematical Theory of Thermoplastic Equilibrium of Deformed Solid Bodies with Thin Inclusions [in Ukrainian], NTSh, Lviv (2007).

  3. L. T. Berezhnitskii, P. S. Kachur, and L. P. Mazurak, “On the theory of stress concentrations with round vertices,” Fiz.-Khim. Mekh. Mater., 25, No. 5, 28–41 (1989); English translation: Mater. Sci., 25, No. 5, 465–476 (1989).

    Google Scholar 

  4. A. Portela, M. H. Aliabadi, and D. P. Rooke, “The dual boundary element method: Effective implementation for crack problems,” Int. J. Numer. Meth. Eng., 33, 1269–1287 (1992).

    Article  Google Scholar 

  5. H. T. Sulym and Ya. M. Pasternak, “Application of the J -integral for the investigation of the longitudinal shear of anisotropic bodies with thin-walled ribbonlike inclusions,” Visn. Donets’k. Univ. Ser. A: Pryrodn. Nauky, Issue 1, 88–92 (2008).

  6. H. T. Sulym and Ya. M. Pasternak, “Influence of the sizes of anisotropic bodies with ribbonlike elastic inclusions on the parameters of the limiting state under the conditions of antiplane deformation,” Met. Rozv. Prykl. Zadach Mekh. Deformivn. Tverd. Tila, Issue 10, 263–269 (2009).

  7. H. T. Sulym and Ya. M. Pasternak, “Application of the boundary-element method for the analysis of the antiplane shear of anisotropic bodies containing thin-walled structures,” Mat. Met. Fiz.-Mekh. Polya, 51, No. 4, 136–144 (2008); English translation: J. Math. Sci., 167, No. 2, 162–172 (2010).

    Google Scholar 

  8. Y. Murakami, Stress Intensity Factors Handbook, Pergamon Press, Oxford (1987).

    Google Scholar 

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Authors and Affiliations

  1. Lutsk National Technical University, Lutsk, Ukraine

    Ya. М. Pasternak

  2. Franko Lviv National University, Lviv, Ukraine

    H. T. Sulym

Authors
  1. Ya. М. Pasternak
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  2. H. T. Sulym
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Correspondence to Ya. М. Pasternak.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 48, No. 6, pp. 86–91, November–December, 2012.

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Pasternak, Y.М., Sulym, H.T. Solution of the problems of antiplane deformation for bodies with thin ribbonlike inclusions by the methods of integral equations. II. Analysis of the stress concentration and stress intensity . Mater Sci 48, 788–794 (2013). https://doi.org/10.1007/s11003-013-9570-x

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  • DOI: https://doi.org/10.1007/s11003-013-9570-x

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