The purpose of the talk is to demonstrate the utility of the non-commutative Groebner bases in the analysis of plate bending problems, as an application part of results of a research collaboration between a symbolic computational research team (consisting of the second to forth authors) and a researcher in engineering mechanics (the first author) at RISC.

The plate examples in this study are the circular plates with linear and non-linear variable thickness or variable material properties which are commonly encountered in the areas of civil, mechanical, and aerospace engineering. All the evaluations are carried out by the current version of the GreenGroebner package in the framework of the Theorema symbolic software system in Mathematica developed by Buchberger research team at RISC. The non-commutative Groebner basis methodology is used as a key and implemented uniquely in the GreenGroebner package introduced in the Ph.D. thesis of Markus Rosenkranz. The package produces the Green’s operator and Green’s function for the given LODE boundary problems. The study is found to be a unique alternative, worthy of further investigation, and potentially effective in the analysis of similar problems occurring in a variety of engineering applications.