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The number of independent elastic constants for a linear elastic isotropic and homogeneous material is-
Question

The number of independent elastic constants for a linear elastic isotropic and homogeneous material is-

A.

4

B.

1

C.

3

D.

2

Correct option is D



For a linear elastic isotropic and homogeneous material, the material's mechanical behavior is identical in all directions (isotropy), and its properties do not vary from point to point (homogeneity).
In such materials, the stress-strain relationship is described using Hooke's law, and the number of independent elastic constants reduces to two because of the symmetry and isotropy of the material. These constants are typically:
1. Young's modulus (E)
2. Poisson's ratio (ν)
Alternatively, any two of the following can also describe the material's behavior:
Shear modulus (G)
Bulk modulus (K)

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