点击次数：

论文类型：期刊论文

发表时间：2010-03-01

发表刊物：JOURNAL OF THERMAL STRESSES

收录刊物：SCIE、EI

卷号：33

期号：3

页面范围：262-278

ISSN号：0149-5739

关键字：Hamiltonian formalism; Heat conduction; Heat flux density; Singular temperature field; Symplectic eigensolution

摘要：An analytic method to determine the thermal intensity factors of finite domains in two-dimensional heat conduction in the vicinity of a crack is introduced. The method first separates the variables of the heat conduction equations in polar coordinates using the Hamiltonian formalism and finds the symplectic eigenfunctions analytically. The coefficients of the symplectic series are determined from the boundary conditions. The thermal intensity factor is given by the first coefficient of the antisymmetric part of the series and no post-processing is required.