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<p>The problem of three collinear Griffith cracks in an infinite orthotropic solid subjected to uniform heat flow and mechanical loadings was investigated. The analytical solutions of physical parameters and fracture attributes were provided by considering the thermally conducting crack models to address the impact of thermos-elastic variables. The superposition theorem was utilized to form the boundary and continuity conditions of the proposed model and obtain systems of integral equations for the temperature and displacement fields, which were solved by applying the Schmidt’s method. Numerical results showed that the dimensionless thermal conductivity (R<sub>c</sub>) between the upper and lower crack zones has significant impacts on physical quantities and fracture parameters, including Mode I and Mode II stress intensity factors (K<sub>I</sub> ,K<sub>II</sub>).The stress intensity factors (SIFs), temperature jumps, and elastic displacements of the thermo-elastic fields have been provided. The effects of applied mechanical loading, the thermal conductivity on the temperature change across all cracks, and stress intensity factors are demonstrated graphically.</p>

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Investigation of Thermally Conducting Collinear Cracks in an Orthotropic Composite Medium Under Uniform Heat Flow

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Anshika Tanwar,
  • Shiv Shankar Das,
  • Subir Das,
  • Holm Altenbach

摘要

The problem of three collinear Griffith cracks in an infinite orthotropic solid subjected to uniform heat flow and mechanical loadings was investigated. The analytical solutions of physical parameters and fracture attributes were provided by considering the thermally conducting crack models to address the impact of thermos-elastic variables. The superposition theorem was utilized to form the boundary and continuity conditions of the proposed model and obtain systems of integral equations for the temperature and displacement fields, which were solved by applying the Schmidt’s method. Numerical results showed that the dimensionless thermal conductivity (Rc) between the upper and lower crack zones has significant impacts on physical quantities and fracture parameters, including Mode I and Mode II stress intensity factors (KI ,KII).The stress intensity factors (SIFs), temperature jumps, and elastic displacements of the thermo-elastic fields have been provided. The effects of applied mechanical loading, the thermal conductivity on the temperature change across all cracks, and stress intensity factors are demonstrated graphically.