Dear All, there are two channels for you to follow our research. 

1. We started a newsletter called Thoughts on Composites Modeling on LinkedIn. Please subscribe to it to get informed about our research and ideas we want to share with the community.

2. We moved our discussion forum to github at wenbinyugroup · Discussions · GitHub as it has more features which can serve you better. 




Three ways to derive the classical plate model

By Wenbin Yu

Purdue University

You must login to access the full resource.

Published on


Attached is part of my lecture notes for a graduate structural mechanics. In
the notes, we derived the classical plate theory, which is also called
the Kirchhoff plate theory, in three ways: Newtonian method, variational
method, and variational asymptotic method, using 3D elasticity theory as the
starting point. The self-contradictions of Kirchhoff assumptions and plane-stress assumptions used in both
Newtonian method and variational method are clearly pointed out. The
variational asymptotic method does not rely on any ad hoc assumptions, ending
in a self-consistent theory. It can be considered as a theoretical
tutorial for VAPAS, a general-purpose tool for modeling composite plates.