The Poisson's ratio cannot have the value:

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(A) The Poisson's ratio $(\sigma)$ is defined as the ratio of lateral strain to longitudinal strain.For most materials,the theoretical range of Poisso

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$0.7$

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(A) The Poisson's ratio $(\sigma)$ is defined as the ratio of lateral strain to longitudinal strain.For most materials,the theoretical range of Poisson's ratio is between $-1.0$ and $0.5$.Specifically,for stable,isotropic,linear elastic materials,the value must be greater than $-1.0$ and less than or equal to $0.5$.Since $0.7$ is greater than the maximum theoretical limit of $0.5$,it cannot be a valid value for Poisson's ratio.Therefore,the correct option is $A$.

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