A penny-shaped crack in an infinite linear transversely isotropic medium subjected to uniform anti-symmetric heat flux: Closed-form solution

作者：Yang, Jing^*; Jin, Xianyu; Jin, Nanguo

来源：European Journal of Mechanics - A: Solids , 2014, 47: 254-270.

DOI：10.1016/j.euromechsol.2014.05.003

• Potential theory
• Penny-shaped crack
• Anti-symmetric heat flux

The problem of a penny-shaped crack subjected to anti-symmetric uniform heat flux in an infinite transversely isotropic magneto-electro-thermo-elastic medium is investigated. Although we start our derivations in magneto-electro-thermo-elastic medium, the solution presented in this paper is also applicable for linear transversely isotropic thermopiezoelectric, thermopiezomagnetic, thermoelastic materials. Previous researchers obtained the closed-form solution to the similar problem in crack plane. In regards to full-space solution, they expressed it in multiple integration or line integrals involving Bessel functions. In this article, the authors find that the full-space solution could be in terms of the explicit elementary functions via potential theory method developed by Fabrikant. What's more, the closed form solutions in all kinds of linear transversely isotropic medium can serve as benchmarks for future numerical studies of multiphase composites.

• 出版日期2014-9
• 单位浙江大学