2021
DOI: 10.1093/jom/ufaa028
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Stress intensity factors for cusp-type crack problem under mechanical and thermal loading

Abstract: The general solutions of the stress intensity factors (SIFs) for a cusp-type crack problem under remote uniform mechanical and thermal loads are presented in this work. According to the complex variable theory and the method of conformal mapping, a symmetric airfoil crack is mapped onto a unit circle, and both the temperature and stress potentials are used to solve the relevant boundary-value problems. By introducing the auxiliary function and applying the analytical continuation theorem, the SIFs at the cusp-… Show more

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Cited by 8 publications
(3 citation statements)
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“…The interaction between a lip-shaped crack and a screw dislocation was also investigated by elasticity solutions [11]. The Stress intensity factor around the cusp-type hole was analytically investigated under mechanical and thermal loading [12].…”
Section: Introductionmentioning
confidence: 99%
“…The interaction between a lip-shaped crack and a screw dislocation was also investigated by elasticity solutions [11]. The Stress intensity factor around the cusp-type hole was analytically investigated under mechanical and thermal loading [12].…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, (Lepretre et al, 2021) used the finite element method to deal with the) SIF( evaluation of a repaired cracked steel plate using semi-empirical analysis. General solutions of stress intensity factors (SIF) have been presented for the problem of an edge-like crack under uniform mechanical and thermal loads over a given distance (Chen et al, 2021). There are other methods that helped evaluate the stress intensity factor (SIF) and J integral for centred crack on an elastoplastic material (Bentahar, 2023) and the initial crack propagation problem Bentahar, 2024).…”
Section: Introductionmentioning
confidence: 99%
“…The problem of SIF calculating under thermal load is considered in a number of scientific papers of different years. The most attention is paid to the development of analytical methods [1,5,6,10,12,19], in particular taking into account the structure of the material [1,19] or specific crack shape [5,6]. In article [12] the use and calculation of two-dimensional thermal J*-integral for linear thermoelastic materials using the finite element method (FEM) is discussed.…”
Section: Introductionmentioning
confidence: 99%