Analytical solutions to a coated triangle hole embedded in an infinite plate under a remote uniform heat flow

Chao, Ching‐Kong; Tseng, Shaochen; Chen, F. M.

doi:10.1080/01495739.2018.1461043

Journal of Thermal Stresses

2018

DOI: 10.1080/01495739.2018.1461043

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Analytical solutions to a coated triangle hole embedded in an infinite plate under a remote uniform heat flow

Ching‐Kong Chao

Shaochen Tseng

F. M. Chen

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Cited by 10 publications

(1 citation statement)

References 18 publications

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“…Jafari et al (2016b) studied the thermal stress of triangular holes with different shape parameters and heat flux directions. Chao et al (2018) presented a series solution of the thermoelastic problem of triangular holes with coating. Yu et al (2019) studied the elastic problems of a thermoelectric material containing an arbitrarily-shaped hole under a uniform remote electric current and a uniform energy flux.…”

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Thermal stress around a smooth cavity in a plate subjected to uniform heat flux

Lee

Tang

Zou

2021

Journal of Thermal Stresses

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The two-dimensional thermoelastic problem of an adiabatic cavity in an infinite isotropic homogeneous medium subjected to uniform heat flux is studied, where the shape of the cavity is characterized by the Laurent polynomial. By virtue of a novel tactics, the obtained K-M potentials can be explicitly worked out to satisfy the boundary conditions precisely, and the possible translation of the cavity is also available. The new and explicit analytical solutions are compared with the those reported in literature and some serious problems are found and corrected. Finally, some discussions on the thermal stress concentration around the tips of three typical cavities are provided.

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Thermal stress around a smooth cavity in a plate subjected to uniform heat flux

Lee

Tang

Zou

2021

Journal of Thermal Stresses

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Thermal stresses for a coated irregularly shaped hole embedded in an infinite substrate subject to a remote uniform heat flow

2023

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Stress Field for a Coated Triangle-Like Hole Problem in Plane Elasticity

2019

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The stress field induced by an edge dislocation or a point force located near a coated triangle-like hole in an infinite plate is provided in this paper. Based on the method of analytical continuation and the technique of conformal mapping in conjunction with the alternation technique, a series solution for the displacement and stresses in the coating layer and the matrix is obtained analytically. Examples for the interaction between an edge dislocation and a coated triangle-like hole for various material constant combinations, coating thicknesses and shape factors are discussed. The analysis discovers that the so-called trapping mechanism of dislocations is more likely to exist near a coated triangle-like hole. The result shows that the dislocation will first be repelled by the coating layer and then attracted by a hole when the coating layer is slightly stiffer than the matrix. However, when the coating layer is sufficiently thin, the dislocation will always be attracted by a hole even the coating layer is stiffer than the matrix.

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Analytical solutions to a coated triangle hole embedded in an infinite plate under a remote uniform heat flow

Cited by 10 publications

References 18 publications

Thermal stress around a smooth cavity in a plate subjected to uniform heat flux

Thermal stress around a smooth cavity in a plate subjected to uniform heat flux

Thermal stresses for a coated irregularly shaped hole embedded in an infinite substrate subject to a remote uniform heat flow

Stress Field for a Coated Triangle-Like Hole Problem in Plane Elasticity

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