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Question

A stretched wire made of a material with Young's modulus $ Y = 2 \times 10^{11} \, \text{N/m}^{2} $ has Poisson's ratio $ 0.25 $. The lateral strain $ \varepsilon_1 = 10^{-3} $. What is the elastic energy density of the wire?

$ 4 \times 10^5 \, \text{J/m}^{3} $

$ 8 \times 10^5 \, \text{J/m}^{3} $

$ 16 \times 10^5 \, \text{J/m}^{3} $

$ 1 \times 10^5 \, \text{J/m}^{3} $

Solution

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