Thermal stress analysis of current-carrying media containing an inclusion with arbitrarily-given shape
| Autor: | Shuang Wang, Chuanbin Yu, Zengtao Chen, Cun-Fa Gao |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Materials science
Plane (geometry) Applied Mathematics Mathematical analysis Conformal map 02 engineering and technology 01 natural sciences 020303 mechanical engineering & transports 0203 mechanical engineering Heat flux Modeling and Simulation Orientation (geometry) 0103 physical sciences von Mises yield criterion Boundary value problem 010301 acoustics Fourier series Stress concentration |
| Zdroj: | Applied Mathematical Modelling. 79:753-767 |
| ISSN: | 0307-904X |
| DOI: | 10.1016/j.apm.2019.11.002 |
| Popis: | The presence of inclusions in metal-based composites subjected to an electric current or a heat flux induces thermal stresses. Inclusion geometry is one of the important parameters in the stress distribution. In this study, the plane problem of an arbitrarily-shaped inclusion embedded in an infinite conductive medium is investigated based on the complex variable method. The shape of the inclusion is defined approximately by a polynomial conformal mapping function. Faber series and Fourier expansion techniques are used to solve the corresponding boundary value problems. The obtained results show that the shape, bluntness and rotation angle of the inclusion have a significant effect on the stress concentration around the inclusion induced by the far-field electric current. In addition, for the considered inclusion-matrix system under given electric loading, a lower amount of the Von Mises stress concentration than that around a circular inclusion could be achieved by appropriate selection of the inclusion shape and orientation. |
| Databáze: | OpenAIRE |
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