拍案惊奇:力学中美妙数学定理之诺特定理  

WONDER BEYOND EXPECTATION:NOETHER’S THEOREM IN MECHANICS

作　　者：黄再兴[1] HUANG Zaixing(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学机械结构力学与控制国家重点实验室

出　　处：《力学与实践》2019年第5期628-631,共4页Mechanics in Engineering

摘　　要：诺特(Noether)定理建立了对称性与守恒定律之间的联系,是现代物理学与力学的基石之一。文中介绍了诺特定理提出的起因、定理的内涵及相关逸闻,说明了固体力学中J积分、艾西比(Eshelby)张量与诺特定理的关系。The Noether’s theorem is one of footstones in modern physics and mechanics,due to the correlations it has established between the conservation laws and the symmetries.The origin,the content and the related anecdotes of the Noether’s theorem are reviewed,as well as the relations between the J-integral,the Eshelby tensor and the Noether’s theorem.

关 键 词：诺特定理 对称性 守恒定理 

分 类 号：O302[理学—力学] N09[自然科学总论—科学技术哲学]