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 factorKare 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 factorK.
Highlights
In engineering problems, the thermoelastic analysis for a cracked material has attracted much interest [1,2,3,4,5]
FEM solutions for the stress intensity factor K are used to compare with the solutions obtained using the method
The thermal resistance in the heat conduction through the crack region is of much importance in analyzing the thermoelastic problem of a cracked material with a thermal loading
Summary
The thermoelastic analysis for a cracked material has attracted much interest [1,2,3,4,5]. The thermal stress analysis for a cracked isotropic or anisotropic material has attracted much attention. The thermoelasticity problem of two collinear cracks embedded in an orthotropic solid has been considered by Chen and Zhang [8]. By using a two-dimensional dual boundary element method, the stress intensity factors of a cracked isotropic material under the transient thermoelastic loadings have been calculated by Prasad et al [11]. The diffraction of plane temperature-step waves by a crack in an orthotropic thermoelastic solid has been investigated by Brock [12].
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