An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in the volume to occur, what should be its Poisson's ratio?

0.00
0.25
0.50
1.00

Correct answer: 0.50

Solution

A Poisson's ratio of 0.50 indicates that the material is incompressible, meaning that any applied hydrostatic stress will not change its volume. This is characteristic of elastic isotropic materials under hydrostatic conditions.

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