JP Journal of Solids and Structures
Volume 3, Issue 1, Pages 1 - 22
(March 2009)
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THERMAL STRESSES AROUND TWO COLLINEAR CRACKS IN AN ORTHOTROPIC HALF-PLANE UNDER UNIFORM HEAT FLOW
Shouetsu Itou (Japan)
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Abstract:
Stress intensity factors are determined for two cracks in an orthotropic half-plane, the surface of which is subjected to a uniform heat flow. The cracks are situated parallel to the plane surface of the half-plane. The surfaces of the cracks are assumed to be insulated. The boundary conditions are reduced to dual integral equations using the Fourier transform technique. To satisfy the boundary conditions outside the cracks, the differences in the temperature and displacements at the crack surfaces are expanded in a series of functions that vanish outside the cracks. The unknown coefficients in each series are evaluated using the Schmidt method. The stresses are shown by expressions that contain the infinite integrals. The stress intensity factors are defined using the characters of the integrands and are calculated for a steel half-plane that behaves as an isotropic material and for a tyrannohex half-plane that behaves as an orthotropic material. |
| Keywords and phrases: thermal stress, heat flux, two cracks, orthotropic half-plane, ceramics, tyrannohex, Schmidt method. |
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