GATE ME 2014 Set 4 — Question 19
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Strength of Materials → Stress, Strain & Elastic Constants → Elastic Constants & Poisson's Ratio
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Question
The number of independent elastic constants required to define the stress-strain relationship for an isotropic elastic solid is _______
Correct answer
1.9 to 2.1
Solution
For an isotropic, homogeneous, and linear elastic material, the generalized Hooke's law relates stress and strain. Although there are several elastic constants like Young's modulus (), Poisson's ratio (), Shear modulus (), and Bulk modulus (), only two of them are independent. The relationships between them are:
1.
2.
Since any two constants can be used to determine the others, the number of independent elastic constants required is 2.Continue learning with Success Tracker
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