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(Solved): For a 3-D state of stress expressed by the compendium A , derive expressions for the first, second a ...



For a 3-D state of stress expressed by the compendium A , derive expressions for the first, second and third invariants. State two properties of the compendium. Find

x_(1),x_(2)

and

x_(3)

and determine the invariants of compendium

B

.

A|[\sigma _(11),\sigma _(12),\sigma _(12)],[\sigma _(21),\sigma _(22),\sigma _(23)],[\sigma _(31),\sigma _(32),\sigma _(33)]|,B|[2,1,3],[x_(1),4,5],[x_(2),x_(3),3]|


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