Question

For any two cases of plane elasticity problems, if the constitutive equations are different, then their final equations of motion are also different.

(a) True

(b) False

This question was posed to me in an internship interview.

I would like to ask this question from Plane Elasticity in division Plane Elasticity of Finite Element Method

Answer 1

The correct answer is (a) True

To explain: The equations of motion for plane elasticity problems are given by D*σ+f=ρü in the vector form, where f denotes body force vector, σ is the stress vector, u is displacement vector, D is a matrix of the differential operator, and ρ is the density. Note that the equations of motion of plane stress and plane strain cases differ from each other only on account of the difference in their constitutive equations.