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Stress singularities in 2D orthotropic corners

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Abstract

A new technique for analysis of two-dimensional linear elastostatic solutions with stress singularities at orthotropic corners is developed. An explicit and general representation of the associated eigenequation given as ‘zero determinant condition’ of a matrix with half dimension in comparison with the current approach is derived by application of Stroh relations of anisotropic elasticity. The technique is directly applicable to anisotropic corners. Analytical formulae for stress singularity exponents, roots of the associated eigenequations, at orthotropic half-plane and semiinfinite crack problems for all combinations of basic homogeneous boundary conditions, including slip with friction, are derived. it is noteworthy that the singularity exponents are invariant with respect to the relative orientation of boundary edges and orthotropic material for nine of these combinations. Numerical analysis of singularity exponents for some configurations typical in the modelization of material tests of fiber-matrix composite materials is presented.

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Authors and Affiliations

  1. E.S.I.I., University of Seville, Av. Reina Mercedes s/n, Seville, 41012, Spain

    V. MantiČ, F. ParÍs & J. CaÑas

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  1. V. MantiČ
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  2. F. ParÍs
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  3. J. CaÑas
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MantiČ, V., ParÍs, F. & CaÑas, J. Stress singularities in 2D orthotropic corners. International Journal of Fracture 83, 67–90 (1997). https://doi.org/10.1023/A:1007336210450

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