MAC Model for the Linear Thermoelasticity

作     者：Igor Neygebauer 

作者机构：School of Mathematical Sciences University of Dodoma Dodoma Tanzania 

出 版 物：《材料科学与工程（中英文A版）》 (Journal of Materials Science and Engineering A)

年 卷 期：2011年第1卷第4X期

页      面：578-585页

学科分类：08[工学] 082502[工学-航空宇航推进理论与工程] 0825[工学-航空宇航科学与技术] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：经典模型 MAC 热弹性 线性 积分微分方程 附加条件 热传导方程 连续热力学 

摘      要：This paper presents the MAC (method of additional conditions) model of the linear thermoelasticity. The MAC model of heat conduction equation is suggested to determine the temperature field in elastic body. The MAC model for the linear isotropic elasticity is used to determine the elastic displacements in the body. The purpose is to include the point boundary conditions into the concept of continuum thermomechanics. The classical models do not work well in this case. The new MAC model allows to consider an interaction of one or several particles with continuum media. The method of additional conditions or MAC is based on MAC Green’s functions, principle of superposition and diving method. The integro-differential equations of the MAC model are obtained.