# The three dimensional strain-stress relation for an isotropic material, written in a general matrix form, is $\left\{\begin{array}{l} \varepsilon_{x x} \\ \varepsilon_{y y} \\ \varepsilon_{z} \\ \gamma_{y z} \\ \gamma_{x z} \\ \gamma_{x y} \end{array}\right\}=\left[\begin{array}{llllll} A & C & C & 0 & 0 & 0 \\ C & A & C & 0 & 0 & 0 \\ C & C & A & 0 & 0 & 0 \\ 0 & 0 & 0 & B & 0 & 0 \\ 0 & 0 & 0 & 0 & B & 0 \\ 0 & 0 & 0 & 0 & 0 & B \end{array}\right]\left\{\begin{array}{l} \sigma_{x x} \\ \sigma_{y y} \\ \sigma_{=}^{-} \\ \tau_{y z} \\ \tau_{x z} \\ \tau_{x y} \end{array}\right\}$ $A, B$ and $C$ are compliances which depend on the elastic properties of the material. Which one of the following is correct? (A)$C=\frac{A}{2}-B$ (B) $\quad C=\frac{A}{2}+B$ (C) $\quad C=A+\frac{B}{2}$ (D) $\quad C=A-\frac{B}{2}$

## Question ID - 155395 :- The three dimensional strain-stress relation for an isotropic material, written in a general matrix form, is $\left\{\begin{array}{l} \varepsilon_{x x} \\ \varepsilon_{y y} \\ \varepsilon_{z} \\ \gamma_{y z} \\ \gamma_{x z} \\ \gamma_{x y} \end{array}\right\}=\left[\begin{array}{llllll} A & C & C & 0 & 0 & 0 \\ C & A & C & 0 & 0 & 0 \\ C & C & A & 0 & 0 & 0 \\ 0 & 0 & 0 & B & 0 & 0 \\ 0 & 0 & 0 & 0 & B & 0 \\ 0 & 0 & 0 & 0 & 0 & B \end{array}\right]\left\{\begin{array}{l} \sigma_{x x} \\ \sigma_{y y} \\ \sigma_{=}^{-} \\ \tau_{y z} \\ \tau_{x z} \\ \tau_{x y} \end{array}\right\}$ $A, B$ and $C$ are compliances which depend on the elastic properties of the material. Which one of the following is correct? (A)$C=\frac{A}{2}-B$ (B) $\quad C=\frac{A}{2}+B$ (C) $\quad C=A+\frac{B}{2}$ (D) $\quad C=A-\frac{B}{2}$

(D) $\quad C=A-\frac{B}{2}$