广义相对论与连续介质力学在几何学中基于张量的统一及其应用  

UNIFICATION OF GENERAL RELATIVITY AND CONTINUUM MECHANICS BASED ON TENSOR IN GEOMETRIC AND ITS APPLICATIONS

作　　者：汪志义 张弛 赵福垚 WANG Zhiyi;ZHANG Chi;ZHAO Fuyao(Department of Medical Imaging,Changzhi Medical College,Changzhi,Shanxi 046000;Shanghai 2rd Engineering Construction Group Company,Shanghai 200080;Department of Biomedical Engineering,Changzhi Medical College,Changzhi,Shanxi 046000)

机构地区：[1]长治医学院医学影像学系,山西长治046000 [2]上海建工二建集团有限公司,上海200080 [3]长治医学院生物医学工程系,山西长治046000

出　　处：《物理与工程》2022年第4期51-56,共6页Physics and Engineering

基　　金：长治医学院博士科研启动基金(BS202026,BS202043)。

摘　　要：以张量作为工具,广义相对论与连续介质力学可以实现几何意义上的统一。二者的差别在于前者统一的是时空与物质,后者针对的是连续介质模型并需要考虑物性。这种统一具有数学上的形式,但其本质是物理的。这种统一可应用于引力理论和工程力学中的非协调变形等问题,对相关的教学和科研工作有参考价值。With tensor,general relativity and continuum mechanics can be unified geometrically.The difference between the two is that the former unifies space-time and matter,and the latter aims at the continuum model and needs to consider the physical properties.This unification has a mathematical form,but is physical in nature.This unification can be applied to problems such as the theory of gravity and uncoordinated deformation in engineering mechanics,which has reference value to the related teaching and research work.

关 键 词：广义相对论 连续介质力学 张量 几何 统一 

分 类 号：O412.1[理学—理论物理] O33[理学—物理]