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Statement of a problem № 299

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A bar made of material whose Young's modulus is equal to E and Poisson's ratio to n, is subjected to the hydrostatic pressure p. Find: (a) the fractional decrement of its volume; (b) the relationship between the compressibility b and the elastic constants E and n. Show that Poisson's ratio n cannot exceed 1/2.

Solution:
A bar made of material whose Young's modulus is equal to E  and Poisson's ratio

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