Coupled thermoelastic theory and associated variational principles based on decomposition of internal energy

作     者：Jia-Hong Zheng Zheng Zhong Cong-Ying Jiang Jia-Hong Zheng;Zheng Zhong;Cong-Ying Jiang

作者机构：School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghai200092China School of ScienceHarbin Institute of Technology(Shenzhen)Shenzhen518055GuangdongChina 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2020年第36卷第1期

页      面：107-115页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：国家自然科学基金 

主　　题：Coupled thermoelasticity Thermodynamics Dissipation Variational principle 

摘      要：A new framework of coupled thermoelasticity is constructed in this paper based on a decomposition of internal energy into free internal energy and dissipative *** equations(*** and gradient equations,constitutive equations including evolving laws)along with proper boundary conditions are all included in this framework,from which two novel dual-complementary variational principles with explicit functionals are *** the conventional thermoelastic theory,the proposed variational principles for thermoelasticity are established without the approximate assumption of small temperature *** verify the usefulness of the proposed variational principles in simulating coupled thermoelastic problems,a coupled thermoelastic example is numerically implemented.