The number of independent elastic constants for a linear elastic isotropic and homogeneous material is-
Correct Answer:
D. 2
Explanation:
A material that is both homogeneous and isotropic possesses identical physical properties in every direction and throughout its entire volume. For such materials, only two independent elastic constants are required to fully define the relationship between stress and strain. Although several constants exist, such as Young's modulus, Poisson's ratio, shear modulus, and bulk modulus, they are mathematically interconnected. Because these values are related by established formulas, knowing any two allows for the calculation of the others, confirming that only two constants are truly independent.
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