According to Von-Mises’ distortion energy theory, the distortion energy under three dimensional stress state is represented by

\(\frac{1}{{3E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 - v\left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)

\(\frac{1}{{2E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 - 2v\left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)

\(\frac{{1 - 2v}}{{6E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 + 2v\left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)

\(\frac{{1 + v}}{{3E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 - \left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)

According to Von-Mises’ distortion energy theory, the distortion ene

1.	According to Von-Mises’ distortion energy theory, the distortion energy under three dimensional stress state is represented by
A.	\(\frac{1}{{2E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 - 2v\left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)
B.	\(\frac{{1 - 2v}}{{6E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 + 2v\left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)
C.	\(\frac{{1 + v}}{{3E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 - \left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)
D.	\(\frac{1}{{3E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 - v\left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)
Answer» D. \(\frac{1}{{3E}}\left[ {\sigma _1^2 + \sigma _2^2 + \sigma _3^2 - v\left( {\sigma _1\sigma _2 + \sigma _3\sigma _2 + \sigma _1\sigma _3} \right)} \right]\)

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