The Boundary Element Method for Plate Analysis

3.3 Plate bending under combined transverse and membrane loads; buckling

3.3.1 Problem statement

We consider a thin elastic plate of uniform thickness $\mathit{h}$ occupying the two-dimensional multiply connected domain $\mathrm{\Omega }$ of the $\mathit{xy}$ plane whose boundary $\mathrm{\Gamma }={\cup }_{\mathit{i}=0}^{\mathit{K}}{\mathrm{\Gamma }}_{\mathit{i}}$ may not be smooth (Fig. 3.2). The plate is subjected to the transverse load $\mathit{f}\left(\mathit{x},\mathit{y}\right)$ and to the membrane ...