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<p>Plane problems in the theory of elasticity of anisotropic bodies with partially healed Mode&#xa0;I and Mode&#xa0;II crack-like defects, using injection technologies, were solved. Using the appropriate (for the loading mode of bodies) models of the Winkler foundation regarding the action of the filler on the areas of the crack surface, the problems are reduced to solving singular integro-differential equations with respect to the jump functions of normal and shear displacements of the points of the crack surface. The numerical solutions of these equations were obtained by the quadrature method under the conditions of a&#xa0;generalized plane stress state of the body. The influence of the volume of crack filling with the injection material and the anisotropy of the plate materials on the change in the stress intensity factors and critical loads was determined.</p>

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Limiting equilibrium state of an anisotropic plate with a partially healed crack

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • V. S. Kravets,
  • N. A. Ivantyshyn,
  • M. V. Filipov

摘要

Plane problems in the theory of elasticity of anisotropic bodies with partially healed Mode I and Mode II crack-like defects, using injection technologies, were solved. Using the appropriate (for the loading mode of bodies) models of the Winkler foundation regarding the action of the filler on the areas of the crack surface, the problems are reduced to solving singular integro-differential equations with respect to the jump functions of normal and shear displacements of the points of the crack surface. The numerical solutions of these equations were obtained by the quadrature method under the conditions of a generalized plane stress state of the body. The influence of the volume of crack filling with the injection material and the anisotropy of the plate materials on the change in the stress intensity factors and critical loads was determined.