Analytical Techniques for Calculating the Work of a Plate

Resumo

The article analyzes the selection of the deflection function for calculating the functional of the work and presents a matrix approach to simplify this functionality. The problem requiring such a careful approach grew out of the problem of the loss of stability of an infinite plate with an elliptical hole (inclusion) during stretching, where, with an ill-considered choice of deflection functions and irrational calculations, the accumulated error of machine counting ruined the results obtained. The authors have carefully approached the study of this problem and show techniques that allow us to consider the work analytically. These functions and the general approach are
also suitable for analytical calculation of potential energy, but this is the topic of a separate article.