Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (10): 1221-1232.doi: https://doi.org/10.1007/s10483-009-1002-x

• Articles • 上一篇    下一篇

Interaction between heat dipole and circular interfacial crack

肖万伸 谢超 刘又文   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China
  • 收稿日期:2008-09-25 修回日期:2009-09-01 出版日期:2009-10-01 发布日期:2009-10-01

Interaction between heat dipole and circular interfacial crack

XIAO Wan-Shen, XIE Chao, LIU You-Wen   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China
  • Received:2008-09-25 Revised:2009-09-01 Online:2009-10-01 Published:2009-10-01

摘要: The heat dipole consists of a heat source and a heat sink. The problem of an interfacial crack of a composite containing a circular inclusion under a heat dipole is investigated by using the analytical extension technique, the generalized Liouville theorem, and the Muskhelishvili boundary value theory. Temperature and stress fields are formulated. The effects of the temperature field and the inhomogeneity on the interfacial fracture are analyzed. As a numerical illustration, the thermal stress intensity factors of the interfacial crack are presented for various material combinations and different positions of the heat dipole. The characteristics of the interfacial crack depend on the elasticity, the thermal property of the composite, and the condition of the dipole.

关键词: thermoelasticity, heat dipole, interfacial crack, circular inclusion, inhomogeneity

Abstract: The heat dipole consists of a heat source and a heat sink. The problem of an interfacial crack of a composite containing a circular inclusion under a heat dipole is investigated by using the analytical extension technique, the generalized Liouville theorem, and the Muskhelishvili boundary value theory. Temperature and stress fields are formulated. The effects of the temperature field and the inhomogeneity on the interfacial fracture are analyzed. As a numerical illustration, the thermal stress intensity factors of the interfacial crack are presented for various material combinations and different positions of the heat dipole. The characteristics of the interfacial crack depend on the elasticity, the thermal property of the composite, and the condition of the dipole.

Key words: thermoelasticity, heat dipole, interfacial crack, circular inclusion, inhomogeneity

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