Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio) ?
Correct answer: A. E = 2G (1 + v)
- A. E = 2G (1 + v)
- B. E = G (1 + v)
- C. E = G (1 + v)/2
- D. E = 2G (1 + 2v)
Explanation
For an isotropic elastic material, Young’s modulus, shear modulus and Poisson’s ratio satisfy E = 2G(1 + ν). This is the standard relation among these three elastic constants.
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