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An elastic material of Young’s modulus E and Poisson’s ratio is subjected to a compressive stress of $\sigma 1$ in the longitudinal direction. Suitable lateral compressive stress $\sigma 2$ are also applied along the other two lateral directions to limit the net strain in each of lateral directions to half of the magnitude that would be under $\sigma 1$ acting alone. The magnitude of $\sigma 2$ is      

                                                                                  

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