<Dd> λ 1 λ 2 = 1 (\ displaystyle \ lambda _ (1) \ lambda _ (2) = 1) </Dd> <P> A simple shear deformation is defined as an isochoric plane deformation in which there is a set of line elements with a given reference orientation that do not change length and orientation during the deformation . </P> <P> If e is the fixed reference orientation in which line elements do not deform during the deformation then λ = 1 and F e = e . Therefore, </P> <Dl> <Dd> F 11 e 1 + F 21 e 2 = e 1 ⟹ F 11 = 1; F 21 = 0 (\ displaystyle F_ (11) \ mathbf (e) _ (1) + F_ (21) \ mathbf (e) _ (2) = \ mathbf (e) _ (1) \ quad \ implies \ quad F_ (11) = 1 ~; ~ ~ F_ (21) = 0) </Dd> </Dl>

The relationship between stress and strain for homogeneous deformation