Question: 1 . A sample of material subjected to a compressive stress ( sigma _ { z } ) is confined so that

1. A sample of material subjected to a compressive stress \(\sigma_{z}\) is confined so that it cannot deform in either the \( x \)- or \( y \)-direction, as shown below. Do stresses occur in the material in the \( x \)- and \( y \)-directions? If so, how are they related to \(\sigma_{z}\)? What happens if Poisson's ratio for the material approaches 0.5? And if it approaches 0?
1 . A sample of material subjected to a

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