4. B modeling

4.1. Characteristics of modeling

\(\mathrm{2D}\) axisymmetric modeling

D

Y

X

Z

Cut-out: \(\mathrm{1m}\) in height, \(\mathrm{1m}\) in width

Phase 1 loading:

(confinement pressure)

Boundary conditions:

4.2. Characteristics of the mesh

Number of knots: 4

Number of meshes and types: 1 QUAD4 and 4 SEG2

4.3. Tested sizes and results

Location	Order Number	Constraint \((\mathit{MPa})\)	Reference Solution
Point \(D\)	16	\({\sigma }_{\mathit{xx}}\)	-12
	80	\({\sigma }_{\mathit{xx}}\)	-12
	16	\({\sigma }_{\mathit{zz}}\)	-12
	80	\({\sigma }_{\mathit{zz}}\)	-12
	16	\({\sigma }_{\mathit{yy}}\)	-30
	20	\({\sigma }_{\mathit{yy}}\)	-33.4287301
	36	\({\sigma }_{\mathit{yy}}\)	-43.5095082
	49	\({\sigma }_{\mathit{yy}}\)	-50.4230084
	52	\({\sigma }_{\mathit{yy}}\)	-48.4775526
	56	\({\sigma }_{\mathit{yy}}\)	-46.4935733
	60	\({\sigma }_{\mathit{yy}}\)	-45.0479008
	70	\({\sigma }_{\mathit{yy}}\)	-43.1174944
	80	\({\sigma }_{\mathit{yy}}\)	-42.8023313

Location	Number Order Number	Deformation	Reference Solution
Point \(D\)	16	\({\varepsilon }_{\mathit{xx}}\)	1.2 E-3
	20	\({\varepsilon }_{\mathit{xx}}\)	1.61504 E-3
	36	\({\varepsilon }_{\mathit{xx}}\)	3.66549 E-3
	49	\({\varepsilon }_{\mathit{xx}}\)	5.46863 E-3
	52	\({\varepsilon }_{\mathit{xx}}\)	6.265 E-3
	56	\({\varepsilon }_{\mathit{xx}}\)	7.26131 E-3
	60	\({\varepsilon }_{\mathit{xx}}\)	8.19982 E-3
	70	\({\varepsilon }_{\mathit{xx}}\)	10.36527 E-3
	80	\({\varepsilon }_{\mathit{xx}}\)	12.35726E-3
	16	\({\varepsilon }_{\mathit{yy}}\)	-0.004
	80	\({\varepsilon }_{\mathit{yy}}\)	-0.02