Hamiltonian approach to analytical thermal stress intensity factors — Part 1: Thermal intensity factor
Author(s)
Author(s)
Xu, X.
Zhou, Z.
Date Issued
2010
Publisher
Taylor & Francis
Journal
Journal of Thermal Stresses
Volume
33
Issue
3
Start page
262
End page
278
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.
SFU Affiliated Publication
No
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