1.

Von-mises or Distortion-energy Criteria proposed that yielding will occur when the second invariant of the stress deviator J2 exceeds some critical value. The second invariant of the stress deviator J2 is equal to __________

A. 1/6 [( <sub>1</sub> <sub>2</sub>)<sup>2</sup>+( <sub>2</sub> <sub>3</sub>)<sup>2</sup>+( <sub>3</sub> <sub>1</sub>)<sup>2</sup>]
B. 1/2 [( <sub>1</sub> <sub>2</sub>)<sup>2</sup>+( <sub>2</sub> <sub>3</sub>)<sup>2</sup>+( <sub>3</sub> <sub>1</sub>)<sup>2</sup>]
C. [ <sub>1</sub> + <sub>2</sub> + <sub>3</sub>]
D. 1/2 [( <sub>1</sub> <sub>2</sub>)+( <sub>2</sub> <sub>3</sub>)+( <sub>3</sub> <sub>1</sub>)]
Answer» B. 1/2 [( <sub>1</sub> <sub>2</sub>)<sup>2</sup>+( <sub>2</sub> <sub>3</sub>)<sup>2</sup>+( <sub>3</sub> <sub>1</sub>)<sup>2</sup>]


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