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

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

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