Abstract
The problems of crack formation in orthotropic materials under 2i order polynomial function heat flow and 2j order polynomial function mechanical loading are considered. An extended local insulation crack model is proposed, and fracture analysis is carried out for the above problems. Utilizing Fourier transform technique (FTT) and principle of superposition, the jumps of temperature, elastic displacements on the crack, and so on are obtained. The advantage of this analysis is that the explicit closed form solutions of main parameters in classical fracture mechanics, i.e., the stress intensity factor, the energy release rate, and the energy density have been presented. A simple example is used to demonstrate the method proposed in this paper. The analysis results show that the non-dimensional thermal conductivity and the combined ratio of the heat flux per thickness perpendicular to the crack surface to the mechanical load have a great influence on the calculation of fracture parameters. Only when they meet certain conditions can the correct fracture parameter calculation results be obtained.
Highlights
With the thermal-stress effects in consideration, fracture behavior of engineering structures resulting from applied thermal loading has been induced [1,2]
Chang et al gave the closed-form solution of a penny-shaped crack embedded in an infinite linear transversely isotropic triple medium under uniform antisymmetric heat flux [14]
Afterwards, Wu et al obtained the explicit solution of a crack under combined quadratic thermo-mechanical loads by making use of Fourier transform technique (FTT) and principle of superposition [19]
Summary
With the thermal-stress effects in consideration, fracture behavior of engineering structures resulting from applied thermal loading has been induced [1,2]. Tsai considered the stress intensity factors for a cracked orthotropic material under uniform heat flow [10]. Chen addressed thermo-elasticity problem of two collinear cracks embedded in an orthotropic solid [11]. Prasad et al calculated the stress intensity factors of a crack in isotropic plate subjected to the transient thermoelastic loading with application of two-dimensional dual boundary element method [13]. Hu and Chen obtained the temperature field and thermal stress of a partially insulated cracked material in a half-plane subjected to temperature impact by using heat conduction theory [15,16]. Wu et al used Fourier transform technique (FTT) to address the thermo-elastic field of two collinear cracks under anti-symmetrical linear thermal flux [18]. The applications of fracture analysis under thermal field in other fields, such as functionally graded material (FGM) coating and Mageto- Electroelastic solid, are presented in References [23,24,25,26,27]
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