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GATE 2020 MT – Question 12

Mechanical Behaviour of Materials · Elasticity stress and strain · 1 mark · Multiple choice

The number of independent elastic constants of an isotropic material is

  1. 1
  2. 2
  3. 3
  4. 4

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Show answer and explanation

Correct answer: (B) 2

Explanation

An isotropic linear elastic solid is described by two Lamé constants, or equivalently any suitable independent pair such as Young’s modulus and Poisson’s ratio. Other constants are related, for example G = E/[2(1+ν)] and K = E/[3(1−2ν)]. Therefore there are two independent constants, B.

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