5. The following tensor represents the strain of a cubic sample: 0 0 0 2 0...

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5. The following tensor represents the strain of a cubic sample: 0 0 0 2 0 0 02 (a) Find a relationship between 1 and 2 so that the total volume of the sample remains constant? Hint: write the volume as a function of 1 and 2. Simplify the relationship in the limit of small strains (10). (b) What would be Poisson's ratio of a hypothetical, isotropic, material whose volume does not change when elastically loaded in one direction? 5. The following tensor represents the strain of a cubic sample: 0 0 0 2 0 0 02 (a) Find a relationship between 1 and 2 so that the total volume of the sample remains constant? Hint: write the volume as a function of 1 and 2. Simplify the relationship in the limit of small strains (10). (b) What would be Poisson's ratio of a hypothetical, isotropic, material whose volume does not change when elastically loaded in one direction?