Affiliation:
1. Faculty of Mathematics and Information Science , Warsaw University of Technology , Koszykowa 75, 00-662 Warsaw
Abstract
Abstract
A solution is presented for the static problem of thermoelectroelasticity involving a transversely isotropic space with a heat-insulated rigid sheet-like inclusion (anticrack) located in the isotropy plane. It is assumed that far from this defect the body is in a uniform heat flow perpendicular to the inclusion plane. Besides, considered is the case where the electric potential on the anticrack faces is equal to zero. Accurate results are obtained by constructing suitable potential solutions and reducing the thermoelectromechanical problem to its thermomechanical counterpart. The governing boundary integral equation for a planar anticrack of arbitrary shape is obtained in terms of a normal stress discontinuity. As an illustration, a closed-form solution is given and discussed for a circular rigid inclusion.
Subject
Mechanical Engineering,Control and Systems Engineering
Reference12 articles.
1. 1. Chen W.Q., (2000), On the general solution for piezothermoelasticity for transverse isotropy with application, Journal of Applied Mechanics, 67, 705–711.10.1115/1.1328349
2. 2. Fabrikant V.I. (1989), Applications of Potential Theory in Mechanics: A Selection of New Results, Kluwer Academic Publishers, Dordrecht.
3. 3. Fabrikant V.I. (1991), Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering, Kluwer Academic Publishers, Dordrecht.
4. 4. Kaczyński A. (2014), Thermal stress analysis of a three-dimensional anticrack in a transversely isotropic solid, International Journal of Solids and Structures, 51, 2382–2389.10.1016/j.ijsolstr.2014.03.004
5. 5. Kaczyński A., Kaczyński B. (2017), On 3D problem of an anticrack under vertically uniform heat flow in a transversely isotropic electro-thermo-elastic space, European Journal of Mechanics A/Solids, 66,15–25.10.1016/j.euromechsol.2017.06.004
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献