连续介质力学教学之矢量张量运算的图形表示

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.