Cauchy stress tensor

Figure 2.3 Components of stress in three dimensions

In continuum mechanics, the Cauchy stress tensor $\boldsymbol\sigma\,\!$ , true stress tensor, or simply called the stress tensor is a second order tensor named after Augustin-Louis Cauchy. The tensor consists of nine components $\sigma_{ij}\,\!$ that completely define the state of stress at a point inside a material in the deformed state, placement, or configuration. The tensor relates a unit-length direction vector n to the stress vector T across an imaginary surface perpendicular to n:

单词	Principal stresses
释义	Principal stresses 英语百科 Cauchy stress tensor In continuum mechanics, the Cauchy stress tensor $\boldsymbol\sigma\,\!$ , true stress tensor, or simply called the stress tensor is a second order tensor named after Augustin-Louis Cauchy. The tensor consists of nine components $\sigma_{ij}\,\!$ that completely define the state of stress at a point inside a material in the deformed state, placement, or configuration. The tensor relates a unit-length direction vector n to the stress vector T across an imaginary surface perpendicular to n:
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Principal stresses

Cauchy stress tensor