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Thermoelastic Analysis for Two Collinear Cracks in an Orthotropic Solid Disturbed by Antisymmetrical Linear Heat Flow

Author

Listed:
  • Bing Wu
  • Jun-gao Zhu
  • Daren Peng
  • Rhys Jones
  • Shi-hu Gao
  • Yang-yang Lu

Abstract

The problem of two collinear cracks in an orthotropic solid under antisymmetrical linear heat flow is investigated. It is assumed that there exists thermal resistance to heat conduction through the crack region. Applying the Fourier transform, the thermal coupling partial differential equations are transformed to dual integral equations and then to singular integral equations. The crack-tip thermoelastic fields including the jumps of temperature and elastic displacements on the cracks and the mode II stress intensity factors are obtained explicitly. Numerical results show the effects of the geometries of the cracks and the dimensionless thermal resistance on the temperature change and the mode II stress intensity factors. Also, FEM solutions for the stress intensity factor are used to compare with the solutions obtained using the method. It is revealed that the friction in closed crack surface region should be considered in analyzing the stress intensity factor .

Suggested Citation

  • Bing Wu & Jun-gao Zhu & Daren Peng & Rhys Jones & Shi-hu Gao & Yang-yang Lu, 2017. "Thermoelastic Analysis for Two Collinear Cracks in an Orthotropic Solid Disturbed by Antisymmetrical Linear Heat Flow," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, November.
    • Handle: RePEc:hin:jnlmpe:5093404
    DOI: 10.1155/2017/5093404
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    Cited by:

    1. Wu, B. & Peng, D. & Jones, R., 2022. "On thermoelastic analysis of two collinear cracks subject to combined quadratic thermo-mechanical load," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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