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向量和张量运算总结

张量分析书籍

Tensor Algebra and Tensor Analysis for Engineers With Applications to Continuum Mechanics (By Mikhail Itskov, Fifth Edition)

四阶张量相关

Le Van A. Nonlinear Theory of Elastic Plates[M]. Elsevier, 2017.
四阶张量的逆咋搞啊,,,头疼

要注意 A:B 的两种定义

参考:

  1. researchgate
  2. stackexchange
  3. Stackexchange
  • Reddy: $ A:B := Trace(A*B) = A(ij)B(ji)$
  • Holzapfel: $ A:B := Trace(A*transpose(B)) = A(ij)B(ij)$

文件原地址:http://www.mate.tue.nl/~peters/4K400/VectTensColMat.pdf