20. R modeling

20.1. Characteristics of modeling

Isotropic multilayer plate (5 layers in thickness). Q4G quadrangular shell element

The plate model associated with modeling \(Q\) is rotated 20 degrees according to the alpha nautical angle and 30 degrees according to beta. The cell numbering is the same as in modeling \(Q\).

Boundary conditions:

DDL_IMPO

(GROUP_NO: AB, DX: 0. , DZ: 0. , DRY :0.)

(GROUP_NO: BC, DY: 0. , DZ: 0. , DRX :0.)

(GROUP_NO: CD, DX: 0. , DZ: 0. , DRY :0.)

(GROUP_NO: DA, DY: 0. , DZ: 0. , DRX :0.)

(GROUP_NO: O, DX: 0. , BY: 0. , DRX :0. , DRY :0. , DRZ :0.)

FORCE_ARETE

(GROUP_NO: AB MY:0.)

(GROUP_NO: BC MX:0.)

(GROUP_NO: CDMY:0.)

(GROUP_NO: BY MAX:0.)

20.2. Characteristics of the mesh

Number of knots: 171

Number of meshes and type: 144 QUAD4

20.3. Tested sizes and results

	Identification
Point \(O\) \(\mathit{M78}\)
Layer 1	\({\sigma }_{\mathit{xx}}\), \({\sigma }_{\mathit{yy}}\),,,, \({\sigma }_{\mathit{xy}}\),,, \({\sigma }_{\mathit{xz}}\), \({\sigma }_{\mathit{yz}}\) on the bottom sheet
Layer 3	\({\sigma }_{\mathit{xx}}\), \({\sigma }_{\mathit{yy}}\),,,, \({\sigma }_{\mathit{xy}}\),,, \({\sigma }_{\mathit{xz}}\), \({\sigma }_{\mathit{yz}}\) on middle sheet
Layer 5	\({\sigma }_{\mathit{xx}}\), \({\sigma }_{\mathit{yy}}\),,,, \({\sigma }_{\mathit{xy}}\),,, \({\sigma }_{\mathit{xz}}\), \({\sigma }_{\mathit{yz}}\) on top sheet
Move	Vertical arrow \(w\mathrm{=}\mathit{DZ}\)
Point \(\mathit{B1}\) \(\mathit{M6}\)
Layer 1	\({\sigma }_{\mathit{xx}}\), \({\sigma }_{\mathit{yy}}\),,,, \({\sigma }_{\mathit{xy}}\),,, \({\sigma }_{\mathit{xz}}\), \({\sigma }_{\mathit{yz}}\) on the bottom sheet
Layer 3	\({\sigma }_{\mathit{xx}}\), \({\sigma }_{\mathit{yy}}\),,,, \({\sigma }_{\mathit{xy}}\),,, \({\sigma }_{\mathit{xz}}\), \({\sigma }_{\mathit{yz}}\) on middle sheet
Layer 5	\({\sigma }_{\mathit{xx}}\), \({\sigma }_{\mathit{yy}}\),,,, \({\sigma }_{\mathit{xy}}\),,, \({\sigma }_{\mathit{xz}}\), \({\sigma }_{\mathit{yz}}\) on top sheet