热科学学报（英文版）2006，Vol.15Issue(4)：361-363,3.
Exact Variational Principle For 3-D Unsteady Heat Conduction With Second Sound
Exact Variational Principle For 3-D Unsteady Heat Conduction With Second Sound
摘要
Abstract
The exact variational formulation of the extended unsteady heat conduction equation with finite propagation speed (the 2nd sound speed) of hyperbolic type is derived herein via a systematic and natural way.Moreover,the boundary- and the physically acceptable initial-value conditions are accommodated in the variational principle by a novel method suggested just recently.In this way a perfect justification of the variational theory of transient heat conduction and a rigorous theoretical basis for the finite element analysis of heat conduction are provided.关键词
variational principle/unsteady heat conduction/finite element methodKey words
variational principle/unsteady heat conduction/finite element method分类
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Gaolian LIU..Exact Variational Principle For 3-D Unsteady Heat Conduction With Second Sound[J].热科学学报（英文版）,2006,15(4):361-363,3.基金项目
The support of the National Natural Science Foundation of China (Grant No.50136030) and the Shanghai Leading Acad.Discipline Project (No.Y0103) is gratefully appreciated. （Grant No.50136030）
