热偶极子与圆形界面裂纹的作用

肖万伸; 谢超; 刘又文

doi:10.3879/j.issn.1000-0887.2009.10.002

热偶极子与圆形界面裂纹的作用

doi: 10.3879/j.issn.1000-0887.2009.10.002

湖南大学力学与航空航天学院,长沙 410082

基金项目: 湖南省自然科学基金资助项目(05JJ30140)

详细信息

作者简介:
肖万伸(1959- ),男,湖南永州人,教授,博士(联系人.Tel:+86-731-8882330;E-mail:xw-shndc@126.com).

中图分类号: TB381;O343.7
计量
- 文章访问数: 1521
- HTML全文浏览量: 101
- PDF下载量: 728
- 被引次数: 0
出版历程
- 收稿日期: 2008-09-25
- 修回日期: 2009-09-01
- 刊出日期: 2009-10-15

Interaction Between a Heat Dipole and a Circular Interfacial Crack

College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China

摘要

摘要: 热偶极子由热源和热汇组成．应用解析延拓方法、广义Liouville 定理及Muskhelishvili 边值问题理论，研究了在热源偶极子作用下含圆形夹杂复合材料的界面裂纹问题．导出温度场和应力场之后，分析了温度场和夹杂对界面断裂的效应．作为实例，针对若干种组合材料及热偶极子处于不同位置，给出了界面裂纹热应力强度因子的数值变化曲线．结果表明，界面裂纹特性取决于材料的弹性常数和热学性能及偶极子的情况
- 热弹性 /
- 热偶极子 /
- 界面裂纹 /
- 圆形夹杂 /
- 非均质
Abstract: The heat dipole consists of a heat source and a heatsink. The problem that an interfacial crack of a composite contains a circular inclusion under a heat dipole is investigated by using the analytic extension technique, generalized Liouville's theorem and Muskhelishvili boundary value theory. Temperature fields and stress fields are formulated, and then 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 in terfacial crack are presented for various material combinations and for different positions of the heat dipole. The characteristic of the in terfacial crack depends on the elasticity, thermal property of the composite and the condition of the dipole.
- thermoelas ticity /
- heat dipole /
- interfacial crack /
- circular in clusion /
- inhomogeneity.

HTML全文

参考文献(14)

[1]	Raymond D, David M, Cheng H. Thermoelastic stress in the semi-infinite solid[J]. Journal of Applied Physics,1950,〖STHZ〗21(9): 931-933.
[2]	Zhu Z H, Muguid S A. On the thermoelastic stresses of multiple interacting inhomogencities[J].Int J Solids and Structures, 2000, 〖STHZ〗37(16): 2313-2330.
[3]	Muskhelishvili N L. Some Basic Problems of Mathematical Theory of Elasticity[M]. Leyden:Noordhoff, 1975.
[4]	Chao C K, Chang R C. Thermal interface crack problems in dissimilar anisotropic media[J]. Journal of Applied Physics,1992, 〖STHZ〗72(7): 2598-2604.
[5]	Qin Q-H. Thermoelectroelastic solution for elliptic inclusions and application to crack-inclusion problems[J]. Applied Mathematical Modelling,2000,〖STHZ〗25(1): 1-23.
[6]	肖万伸,魏刚.稳态温度场下螺旋位错与圆弧裂纹的交互作用[J].机械强度,2007,〖STHZ〗29(5): 779-783.
[7]	Pham C V, Hasebe N, Wang X F, et al. Interaction between a cracked hole and a line crack under uniform heat flux[J]. Int J Fract ,2005, 〖STHZ〗13(4): 367-384.
[8]	Hasebe N, Wang X F, Saito T, et al. Interaction between a rigid inclusion and a line crack under uniform heat flux[J]. International Journal of Solids and Structures, 2007, 〖STHZ〗44(7/8): 2426-2441.
[9]	Chao C K, Shen M H. On bonded circular inclusion in plane thermoelasticity[J]. ASME, J Appl Mech, 1997, 〖STHZ〗64(4): 1000-1004.
[10]	Chao C K, Tan C J. On the general solutions for annular problems with a point heat source[J]. Journal of Applied Mechanics,2000, 〖STHZ〗67(3): 511-518.
[11]	Rahman M. The axisymmetric contact problem of thermoelasticity in the presence of an internal heat source[J].International Journal of Engineering Science 2003, 〖STHZ〗41(16): 1899-1911.
[12]	Chao C K, Chen F M. Thermal stresses in an isotropic trimaterial interacted with a pair of point heat source and heat sink[J]. International Journal of Solids and Structures, 2004,〖STHZ〗41(22/23):6233-6247.
[13]	Hasebe N, Wang X F. Complex variable method for thermal stress problem[J]. Journal of Thermal Stresses,2005, 〖STHZ〗28(6/7):595-648.
[14]	Sih G C, Raris P C, Erdogan F. Crack-tip stress factors for plane extension and plane bending problem[J].Journal of Applied Mechanics，1962,〖STHZ〗29(1): 306-312.