7. Conclusion#

The finite plate elements that we describe here are used in the calculations of slender thin structures whose characteristic thickness-to-length ratio is less than \(1\mathrm{/}10\). The middle layer of these structures does not coincide with the mesh plane (draft plane). The eccentricity therefore corresponds to the distance of the middle sheet in relation to the sheet of paper. A positive \(d\) eccentricity means that the mean surface of the plate is at a distance \(dn\) from the meshed plate element, with the \(n\) direction being given by the normal to the element.

The values of generalized movements and forces obtained are given by default in the mesh coordinate system. For generalized efforts, however, it is possible to define a post-treatment coordinate system - a coordinate system associated with the middle sheet - different from the draft coordinate system. In the same way, the forces applied are considered to be given by default in the design coordinate system. In the case of FORCE_COQUE, however, it is possible to specify a coordinate system for applying forces and torques - a coordinate system associated with the middle sheet - different from the draft coordinate system.

Equivalent elements are not available in thermal engineering; thermo-mechanical linkages are therefore not available for eccentric plate elements.