Question

In FEM, which option is correct for a linear plate theory based on infinitesimal strains and orthotropic material properties?

(a) The plane elasticity equations govern the transverse deflections

(b) The transverse deflections are coupled with in-plane displacements

(c) The in-plane displacements are zero in the absence of in-plane forces

(d) The transverse deflections are zero in the absence of in-plane forces

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Question is from Shear Deformable Plate Model topic in division Bending of Elastic Plates of Finite Element Method

Answer 1

The correct option is (c) The in-plane displacements are zero in the absence of in-plane forces

The best explanation: 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 zero if there are no in-plane forces and hence, we discuss only the equations governing the bending deformation and the associated finite element models.