Theory of conjugate shear stress

…Here, σ is normal stress, τ is shear stress, and the index of σ indicates the direction of action of the component (same as the normal direction of the surface), the first index of τ indicates the normal direction of the surface, and the second index indicates the direction of action of the component. Note that shear stress has the property that τ _{x y} = τ _{y x} , τ _{y z} = τ _{z y} , τ _{z x} = τ _{x z} , which is called the principle of conjugate shear stress. Normal stress has a positive sign when it acts on this rectangular parallelepiped in tension, and a negative sign when it acts on compression. …

*Some of the terminology that refers to the "theory of conjugate shear stress" is listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

…ここでσは垂直応力，τはせん断応力であり，σの指標は成分の作用方向(面の法線方向と同一)を，τの第1指標は面の法線方向，第2指標は成分の作用方向を示す。なお，せん断応力にはτ_xy＝τ_yx,τ_yz＝τ_zy,τ_zx＝τ_xzという性質があり，これを共役せん断応力の理という。垂直応力はこの直方体に引張りの作用をするときに正，圧縮のときに負の符号を与える。…

※「共役せん断応力の理」について言及している用語解説の一部を掲載しています。

出典｜株式会社平凡社世界大百科事典 第２版について | 情報