Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-03-01

Journal: JOURNAL OF THERMAL STRESSES

Included Journals: EI、SCIE

Volume: 33

Issue: 3

Page Number: 262-278

ISSN: 0149-5739

Key Words: Hamiltonian formalism; Heat conduction; Heat flux density; Singular temperature field; Symplectic eigensolution

Abstract: 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.