. 2020 Mar 17;13(6):1363. doi: 10.3390/ma13061363

Table 2.

u- and v-fringe shapes and corresponding shear, rotation and volume expansion.

Case	$ϵ_{xy}$	$ω_{z}$	$\nabla \cdot ξ$
(1)	0	0	$a_{1} + d_{1}$
(2)	$\frac{1}{2} (b_{1} + c_{1}) = 0$	$\frac{1}{2} (- b_{1} + c_{1}) = c_{1}$	0
(3)	$\frac{1}{2} (b_{1} + c_{1})$	$\frac{1}{2} (- b_{1} + c_{1})$	$a_{1} + d_{1}$
(4)	$b_{2} (x - x_{0}) y$	$- b_{2} (x - x_{0}) y$	$a_{1} + d_{1} + b_{2} y^{2}$
(5)	$b_{2} (x - x_{0}) y + c_{2} (y - y_{0}) x$	$- b_{2} (x - x_{0}) y + c_{2} (y - y_{0}) x$	$a_{1} + d_{1} + b_{2} y^{2} + c_{2} x^{2}$
(6)	$\frac{1}{2} (2 b_{2} (x - x_{0}) y + b_{1} + 2 c_{2} (y - y_{0}) x + c_{1})$	$\frac{1}{2} (2 c_{2} (y - y_{0}) x + c_{1} - 2 b_{2} (x - x_{0}) y - b_{1})$	$a_{1} + d_{1} + b_{2} y^{2} + c_{2} x^{2}$