Journal of South China University of Technology (Natural Science Edition) ›› 2006, Vol. 34 ›› Issue (11): 99-104.

• Architecture & Civil Engineering • Previous Articles     Next Articles

Numerical Analysis of Singular Heat Flux Field(Ⅰ):Eignenproblems of Heat Conduction

Wang Hai-tao1  Yang Xiao-mei2   

  1. 1.School of Architecture and Civil Engineering,South China Univ.of Tech.,Guangzhou 510640,Guangdong,China;2.Faculty of Construction Engineering,Guangdong Univ.of Tech.,Guangzhou 510643,Guangdong,China
  • Online:2006-11-25 Published:2006-11-25
  • Contact: 王海涛(1971-)，男，讲师，博十，主要从事计算力学、断裂力学及结构工程研究 E-mail:htwang@scut.edu.cn
  • About author:王海涛(1971-)，男，讲师，博十，主要从事计算力学、断裂力学及结构工程研究
  • Supported by:

    华南理工大学自然科学基金资助项目

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Abstract:

In order to get a finite element formulation to analyze singular heat flux fields,the weak form of basic equations and boundary conditions describing the 2D heat conduction eigenproblems is derived for the sectorial domains in the vicinity of the interfacial crack tip.By using the eigenfunction expansion technique,a one-dimension finite element formulation i8 then developed to determ ine the eigensolutions to the 2D heat conduction problem at the crack tip,which discretizes the sectorial domain circumferenially.A global equation is finally obtained as a second’order characteristic matrix equation.By solving this second-order matrix equation,the eigensolutions to the 2D heat conduction problems in singular heat flux fields can be obtained.Numerical examples demonstrate the cor.rectness and efficiency of the proposed method.

Key words: finite element, heat conduction, singularity, crack, eigensolution