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The independent elastic constants for homogeneous and isotropic material are
- a)E, G, K, V
- b)E, G, K
- c)E, G, V
- d)E, G
Correct answer is option 'D'. Can you explain this answer?
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The independent elastic constants for homogeneous and isotropic materi...
Independent Elastic Constants for Homogeneous and Isotropic Material
Elastic Constants:
- For a homogeneous and isotropic material, the independent elastic constants are Young's modulus (E), shear modulus (G), and bulk modulus (K).
Young's Modulus (E):
- Young's modulus (E) is a measure of a material's stiffness. It is the ratio of stress to strain in the elastic region of the material.
Shear Modulus (G):
- Shear modulus (G) is a measure of a material's resistance to shearing deformation. It is also known as the modulus of rigidity.
Bulk Modulus (K):
- Bulk modulus (K) is a measure of a material's resistance to uniform compression. It is the ratio of change in pressure to the fractional volume change.
Conclusion:
- The independent elastic constants for a homogeneous and isotropic material are Young's modulus (E), shear modulus (G), and bulk modulus (K). These constants are important in understanding the mechanical behavior of materials under different loading conditions.
Elastic Constants:
- For a homogeneous and isotropic material, the independent elastic constants are Young's modulus (E), shear modulus (G), and bulk modulus (K).
Young's Modulus (E):
- Young's modulus (E) is a measure of a material's stiffness. It is the ratio of stress to strain in the elastic region of the material.
Shear Modulus (G):
- Shear modulus (G) is a measure of a material's resistance to shearing deformation. It is also known as the modulus of rigidity.
Bulk Modulus (K):
- Bulk modulus (K) is a measure of a material's resistance to uniform compression. It is the ratio of change in pressure to the fractional volume change.
Conclusion:
- The independent elastic constants for a homogeneous and isotropic material are Young's modulus (E), shear modulus (G), and bulk modulus (K). These constants are important in understanding the mechanical behavior of materials under different loading conditions.
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The independent elastic constants for homogeneous and isotropic materi...
Only two independent elastic constant are required to express the stress-strain relation for a linearly elastic, isotropic material. We can find third elastic constant and Poisson’s ratio for the material.
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The independent elastic constants for homogeneous and isotropic material area)E, G, K, Vb)E, G, Kc)E, G, Vd)E, GCorrect answer is option 'D'. Can you explain this answer?
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