Question

In displacement-based plate theories, if a linear theory based on infinitesimal strains and orthotropic material properties is used, then the in-plane displacements are coupled with the transverse deflection.

(a) True

(b) False

The question was asked in class test.

I'd like to ask this question from Shear Deformable Plate Model topic in chapter Bending of Elastic Plates of Finite Element Method

Answer 1

The correct choice is (b) False

For explanation I would say: For a linear theory based on infinitesimal strains and orthotropic material properties, the in-plane displacements(ux, uy) are uncoupled from the transverse deflection uz=w. The plane elasticity equations govern the in-plane displacements (ux, uy). The in-plane displacements are zeroin the absence of in-plane forces, andhence, we discuss only the equations governing the bending deformation.