Abstract
An improved partially permeable crack model is put forward to deal with the problem of a single crack embedded in an orthotropic or isotropic material under combined unsymmetric thermal flux and symmetric linear mechanical loading. With the application of the Fourier transform technique (FTT), the thermoelastic field is given in a closed form. Numerical results show combined unsymmetric linear thermal flux, symmetric linear mechanical loading, and dimensionless thermal conductivity, and the coefficient has influences on fracture parameters. For the improved partially permeable crack, the mode II stress intensity factor and the energy release rate might be zero or positive under combined unsymmetric thermal flux and symmetric linear mechanical loading. Therefore, closure of the crack tip region need not be considered under combined unsymmetric thermal flux and symmetric linear mechanical loading when making use of fracture parameters as a criterion.
Highlights
An elastic solid’s expansion and contraction from changes in temperature is inhibited for the external constraints and the mutual constraints between the internal parts of the solid, resulting in thermal stress [1, 2]
With application of the Fourier transform technique, the thermoelastic partial differential equations (PDE) are converted to singular integral equations. e thermoelastic field is given in the closed form by solving singular integral equations. e obtained results reveal physical quantities that have influences on fracture parameters for cracked solid under combined unsymmetric linear thermal flux and symmetric linear mechanical loading
Numerical Results is section presents a research on the influence of combined unsymmetric linear thermal flux, symmetric linear mechanical loading, the dimensionless thermal resistance and the coefficient on the heat flux to the crack surface, the mode II stress intensity factor (KII), and the energy release rate (G)
Summary
An elastic solid’s expansion and contraction from changes in temperature is inhibited for the external constraints and the mutual constraints between the internal parts of the solid, resulting in thermal stress [1, 2]. A great many of studies have been published to consider the fracture behaviors of various cracks which are embedded in an orthotropic solid under thermal loading [6,7,8,9,10,11,12,13,14]. Chen and Zhang addressed the thermoelasticity problem of cracked orthotropic solid [12]. Wu et al applied the Fourier transform technique to compute the II stress intensity factors of two collinear cracks under antisymmetrical linear thermal flux [16]. E obtained results reveal physical quantities that have influences on fracture parameters for cracked solid under combined unsymmetric linear thermal flux and symmetric linear mechanical loading With application of the Fourier transform technique, the thermoelastic partial differential equations (PDE) are converted to singular integral equations. e thermoelastic field is given in the closed form by solving singular integral equations. e obtained results reveal physical quantities that have influences on fracture parameters for cracked solid under combined unsymmetric linear thermal flux and symmetric linear mechanical loading
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