3. Modeling A

3.1. Characteristics of modeling

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

D

Y

X

Z

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

Phase 1 loading: \({\sigma }_{\mathit{xx}}^{0}\mathrm{=}{\sigma }_{\mathit{yy}}^{0}\mathrm{=}{\sigma }_{\mathit{zz}}^{0}\mathrm{=}\mathrm{-}5\mathit{MPa}\) (confinement pressure)

Boundary conditions:

3.2. Characteristics of the mesh

Number of knots: 4

Number of meshes and types: 1 QUAD4 and 4 SEG2

3.3. Tested sizes and results

Location	Order Number	Constraint \((\mathrm{MPa})\)	Reference Solution
Point \(D\)	12	\({\sigma }_{\mathit{xx}}\)	-5
	70	\({\sigma }_{\mathit{xx}}\)	-5
	12	\({\sigma }_{\mathit{zz}}\)	-5
	70	\({\sigma }_{\mathit{zz}}\)	-5
	12	\({\sigma }_{\mathit{yy}}\)	-18.50
	16	\({\sigma }_{\mathit{yy}}\)	-22.5675778
	32	\({\sigma }_{\mathit{yy}}\)	-30.8797526
	41	\({\sigma }_{\mathit{yy}}\)	-34.9342281
	42	\({\sigma }_{\mathit{yy}}\)	-32.9136722
	46	\({\sigma }_{\mathit{yy}}\)	-26.8215156
	52	\({\sigma }_{\mathit{yy}}\)	-22.7560224
	70	\({\sigma }_{\mathit{yy}}\)	-20.721512

Location	Order Number	Deformation	Reference Solution
Point \(D\)	12	\({\varepsilon }_{\mathit{xx}}\)	0.9 E-3
	16	\({\varepsilon }_{\mathit{xx}}\)	1.24644 E-3
	32	\({\varepsilon }_{\mathit{xx}}\)	3.48682 E-3
	41	\({\varepsilon }_{\mathit{xx}}\)	4.81373 E-3
	42	\({\varepsilon }_{\mathit{xx}}\)	5.22653 E-3
	46	\({\varepsilon }_{\mathit{xx}}\)	6.66403 E-3
	52	\({\varepsilon }_{\mathit{xx}}\)	8.27551 E-3
	70	\({\varepsilon }_{\mathit{xx}}\)	12.01865 E-3
	12	\({\varepsilon }_{\mathit{yy}}\)	-0.003
	70	\({\varepsilon }_{\mathit{yy}}\)	-0.0175