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Elasticity "Exact" Solutions for Plates

Submitted by luciano demasi on

Many of you developed Finite Element codes. These codes are usually quite complex. So you all know the importance of testing your results to see if what you programmed makes sense. The usual approach is to compare your FEM program with somethig already published. With this in mind, I designed a series of "lectures" on the topic of elasticity solutions for plates. You can find the details in 

http://attila.sdsu.edu/~demasi/list_lectures.htm

If you do not have time to read the details or if you are only interested in the testing of your code, you may find of some interest the closed form alegbraic formuls reported here:

http://attila.sdsu.edu/~demasi/lect01_31.htm

These formulas are implemented in the EXCEL file you can download and use for FREE (see copyright note on the web site): 

http://attila.sdsu.edu/~demasi/download.htm

The lectures introduce the problem of finding the elasticity solution for the case of isotropic rectangular simply supported plate but the procedure is practically the same if you have to deal with composite multilayered plates. The formulation is based on the solution of an eigenvalie problem. The approach is different than the one used by Pagano and you can find the details  of this formulation in the lectures. If you are interested (for example for a project of one of your courses), I selected some papers that study the elasticity solution of plates and I listed them at the following link:

http://attila.sdsu.edu/~demasi/references.htm