黄再兴. 拍案惊奇:力学中美妙数学定理之诺特定理[J]. 力学与实践, 2019, 41(5): 628-631. DOI: 10.6052/1000-0879-18-413
引用本文: 黄再兴. 拍案惊奇:力学中美妙数学定理之诺特定理[J]. 力学与实践, 2019, 41(5): 628-631. DOI: 10.6052/1000-0879-18-413
HUANG Zaixing. WONDER BEYOND EXPECTATION: NOETHER’S THEOREM IN MECHANICS[J]. MECHANICS IN ENGINEERING, 2019, 41(5): 628-631. DOI: 10.6052/1000-0879-18-413
Citation: HUANG Zaixing. WONDER BEYOND EXPECTATION: NOETHER’S THEOREM IN MECHANICS[J]. MECHANICS IN ENGINEERING, 2019, 41(5): 628-631. DOI: 10.6052/1000-0879-18-413

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

  • 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。

     

    Abstract: 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.

     

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