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<p>An exact analytical procedure is addressed for the thermoelasticity problem in orthotropic strips containing multiple interacting cracks subjected to concentrated thermo-mechanical loadings. As the first step, the distributed dislocation technique in conjunction with complex Fourier transform is employed to derive expressions for heat flux and in-plane stress fields created by a single thermoelastic dislocation. Both temperature gradients and stress components reveal Cauchy-type singularities. These fundamental solutions underpin the computation of mixed-mode stress intensity factors (Modes I and II) for arbitrarily oriented interacting cracks by solving a system of singular integral equations based on the thermomechanical dislocation distribution function. The singular integral equations account for crack-crack interactions and thermal–mechanical coupling, solved efficiently via a numerical discretization scheme. Results demonstrate the profound influence of crack positioning, orientation, and proximity of thermal loads on mixed-mode SIFs. Moreover, the effects of various orthotropic material constants on mixed-mode SIFs and the variations of energy release rate of cracks affected by local thermal load is addressed as well. The method delivers a highly robust and computationally efficient platform for accurate fracture predictions in orthotropic media under complex coupled loading conditions.</p>

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Mixed-mode fracture analysis of orthotropic strips with multiple interacting cracks under localized thermo-mechanical loading

  • 期刊论文

  • 发表日期：

    2026年6月24日

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  • Amir Hossein Fartash,
  • Siegfried Schmauder

摘要

An exact analytical procedure is addressed for the thermoelasticity problem in orthotropic strips containing multiple interacting cracks subjected to concentrated thermo-mechanical loadings. As the first step, the distributed dislocation technique in conjunction with complex Fourier transform is employed to derive expressions for heat flux and in-plane stress fields created by a single thermoelastic dislocation. Both temperature gradients and stress components reveal Cauchy-type singularities. These fundamental solutions underpin the computation of mixed-mode stress intensity factors (Modes I and II) for arbitrarily oriented interacting cracks by solving a system of singular integral equations based on the thermomechanical dislocation distribution function. The singular integral equations account for crack-crack interactions and thermal–mechanical coupling, solved efficiently via a numerical discretization scheme. Results demonstrate the profound influence of crack positioning, orientation, and proximity of thermal loads on mixed-mode SIFs. Moreover, the effects of various orthotropic material constants on mixed-mode SIFs and the variations of energy release rate of cracks affected by local thermal load is addressed as well. The method delivers a highly robust and computationally efficient platform for accurate fracture predictions in orthotropic media under complex coupled loading conditions.