Question

In FEM, which theory is an extension of the Timoshenko beam theory?

(a) Classical Plate Theory

(b) Hencky-Mindlin plate theory

(c) Kirchhoff plate theory

(d) Shell theory

The question was posed to me in my homework.

I need to ask this question from Shear Deformable Plate Model topic in portion Bending of Elastic Plates of Finite Element Method

Answer 1

Correct option is (b) Hencky-Mindlin plate theory

To elaborate: The two most commonly used displacement-based plate theories are the Classical Plate Theory (CPT) and first-order Shear Deformation Theory (SDT). CPT is an extension of the Euler-Bernoulli beam theory from one dimension to two dimensions and is also known as the Kirchhoff plate theory. Shear Deformation Theory is an extension of the Timoshenko beam theory and it is often called the Hencky-Mindlin plate theory.