1. Reference problem

1.1. Geometry

Because of the geometric and physical symmetry of the problem, only a quarter of the plate is modelled. By taking into account symmetry conditions, only symmetric buckling modes can be captured.

1.2. Material properties

\(E=2.1E5\mathrm{Mpa}\).

\(\nu =0.3\)

The transverse shear coefficient for the plate is \({A}_{\mathrm{CIS}}=5/6\).

1.3. Boundary conditions and loads

Boundary conditions:	\(\mathrm{P2P3}\):			\(\mathrm{DZ}=0.\)
	\(\mathrm{P3P4}\):		\(\mathrm{DZ}=0.\)
Symmetry	\(\mathrm{P1P2}\):	\(\mathrm{DY}=0.\)			\(\mathrm{DRX}=\mathrm{0 }\mathrm{.}\)	\(\mathrm{DRZ}=0.\)
	\(\mathrm{P4P1}\):	\(\mathrm{DX}=0.\)		\(\mathrm{DRY}=\mathrm{0 }\mathrm{.}\)	\(\mathrm{DRZ}=0.\)

Charging:

Linear compression force \(q\) on \(\mathrm{P2P3}\)

1.4. notes

It is not possible to solve the problem of compression deformation without introducing symmetry conditions. In fact, imposing symmetry boundary conditions for a quarter of a plate is the same as eliminating rigid body modes for the complete plate.