连续介质力学教学之矢量张量运算的图形表示

Yajun Yu, Yue Huang, Hua Wu, Zichen Deng

科研成果: 期刊稿件文章同行评审

摘要

Mastering basic knowledge of vector analysis and tensor analysis is the foundation for learning and studying continuum mechanics. In this paper, graphical notation for vector and tensor analysis is introduced, including vector’s dot product, cross product, triple product, first-order differential, second-order differential, trace of second-order tensor, tensor’s simple contraction, double contraction, divergence operator, etc. According to graphical notation, some vector and tensor equations can be proved quickly, which is more intuitive, concise and efficient than other mathematical derivations. The introduction of graphical notation and combination with mathematical derivation may deepen the understanding of vector analysis and tensor analysis for students, and enhance interest for continuum mechanics in teaching.

投稿的翻译标题VECTOR TENSOR GRAPHICAL NOTATION FOR CONTINUUM MECHANICS TEACHING
源语言繁体中文
页(从-至)883-887
页数5
期刊Mechanics in Engineering
46
4
DOI
出版状态已出版 - 8月 2024

关键词

  • graphical notation
  • pedagogy
  • tensor analysis
  • vector analysis

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