1.

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

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">[ <sub>1</sub> + <sub>2</sub> + <sub>3</sub> - 2m( <sub>1</sub> <sub>2</sub> + <sub>3</sub> <sub>2</sub> + <sub>1</sub> <sub>3</sub>)]</td></tr><tr><td style="text-align: center;"> E</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 - 2 </center></td><td rowspan="2">[ <sub>1</sub> + <sub>2</sub> + <sub>3</sub> - 2m( <sub>1</sub> <sub>2</sub> + <sub>3</sub> <sub>2</sub> + <sub>1</sub> <sub>3</sub>)]</td></tr><tr><td style="text-align: center;">6E</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 + </center></td><td rowspan="2">[ <sub>1</sub> + <sub>2</sub> + <sub>3</sub> - 2m( <sub>1</sub> <sub>2</sub> + <sub>3</sub> <sub>2</sub> + <sub>1</sub> <sub>3</sub>)]</td></tr><tr><td style="text-align: center;">3E</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">[ <sub>1</sub> + <sub>2</sub> + <sub>3</sub> - 2m( <sub>1</sub> <sub>2</sub> + <sub>3</sub> <sub>2</sub> + <sub>1</sub> <sub>3</sub>)]</td></tr><tr><td style="text-align: center;">3E</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">[ <sub>1</sub> + <sub>2</sub> + <sub>3</sub> - 2m( <sub>1</sub> <sub>2</sub> + <sub>3</sub> <sub>2</sub> + <sub>1</sub> <sub>3</sub>)]</td></tr><tr><td style="text-align: center;">3E</td></tr></table>


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