4. B modeling#

4.1. Characteristics of B modeling#

The characteristics are identical to the reference solution. The modeling used is of the D_ PLAN_HM type. The mesh is shown on the. In this modeling, \(\mathit{LX}=\mathrm{5m}\) and \({L}_{d}=\mathrm{2,6}m\), the discontinuity is thus not in accordance with the mesh, it crosses QUAD8.

_images/100000000000027A00000335A257A47087CA5CD7.png

Figure 4.1-12D mesh modeling B

4.2. Tested sizes and results#

In the left column, the pore pressure PRE1et and the stress SIYY at the final instant \(t=\mathrm{250s}\) are tested at various heights in the column. The results obtained are similar to those obtained for classical D_ PLAN_HM modeling but slightly less accurate than those obtained with conventional D_ PLAN_HMD modeling at the top of the column.

Value tested

Height (m)

Height (m)

Instant (s)

Type

Reference

Displacement PRE1

8.75

ANALYTIQUE

1.0

Displacement PRE1

9.375

ANALYTIQUE

1.0

Displacement PRE1

0.0

ANALYTIQUE

0.68544576689

Displacement PRE1

0.625

ANALYTIQUE

0.682208147164

Displacement PRE1

1.25

ANALYTIQUE

0.67252104433

Displacement PRE1

1.875

ANALYTIQUE

0.656461946263

Displacement PRE1

2.5

ANALYTIQUE

0.634160686593

Displacement PRE1

3.125

ANALYTIQUE

0.605800331394

Displacement PRE1

3.75

ANALYTIQUE

0.571618145927

Displacement PRE1

4.375

ANALYTIQUE

0.531906397249

Displacement PRE1

5.0

ANALYTIQUE

0.487012719208

Displacement PRE1

5.625

ANALYTIQUE

0.437339762565

Displacement PRE1

6.25

ANALYTIQUE

0.38334387542

Displacement PRE1

6.875

ANALYTIQUE

0.32553260623

Displacement PRE1

7.5

ANALYTIQUE

0.264460889851

Displacement PRE1

8.125

ANALYTIQUE

0.200725860656

Displacement PRE1

8.75

ANALYTIQUE

0.134960328921

Displacement PRE1

9.375

ANALYTIQUE

0.0678250497631

Displacement PRE1

10.0

ANALYTIQUE

0.00

Constraint SIYY

8.75

0.00

ANALYTIQUE

0.00

Constraint SIYY

0.0

ANALYTIQUE

-0.31455423311

Constraint SIYY

0.625

ANALYTIQUE

-0.317791852836

Constraint SIYY

1.25

ANALYTIQUE

-0.32747895567

Constraint SIYY

1.875

ANALYTIQUE

-0.343538053737

Constraint SIYY

2.5

ANALYTIQUE

-0.365839313407

Constraint SIYY

3.125

ANALYTIQUE

-0.394199668606

Constraint SIYY

3.75

ANALYTIQUE

-0.428381854073

Constraint SIYY

4.375

ANALYTIQUE

-0.468093602751

Constraint SIYY

5.0

ANALYTIQUE

-0.512987280792

Constraint SIYY

5.625

ANALYTIQUE

-0.562660237435

Constraint SIYY

6.25

ANALYTIQUE

-0.61665612458

Constraint SIYY

6.875

ANALYTIQUE

-0.67446739377

Constraint SIYY

7.5

ANALYTIQUE

-0.735539110149

Constraint SIYY

8.125

ANALYTIQUE

-0.799274139344

Constraint SIYY

8.75

ANALYTIQUE

-0.865039671079

Constraint SIYY

9.375

ANALYTIQUE

-0.932174950237

Constraint SIYY

10.0

ANALYTIQUE

-1,0

Constraint VMIS

10.0

NON_REGRESSION

1.0

Constraint VMIS_SG

10.0

NON_REGRESSION

-1.0

Constraint PRIN_1

10.0

NON_REGRESSION

-1.0

Constraint PRIN_2

10.0

NON_REGRESSION

0.00

Constraint PRIN_3

10.0

NON_REGRESSION

0.00

Constraint TRESCA

10.0

NON_REGRESSION

1.0

The results obtained for the pore pressure at the final instant \(t=\mathrm{250s}\) are shown on the. A clear discontinuity in the pore pressure is clearly observed on both sides of the crack. The QUAD8centraux are subdivided into under TRIA6 HM_XFEM.

_images/100000000000067100000381B5F53C487E7F598A.png

Figure 4.2-1 Pore pressure at time t=250s

In the right-hand column, the pore pressure PRE1et and the stress SIYY at the final instant \(t=\mathrm{250s}\) are tested at various heights in the column. The results obtained are similar to those obtained for classical D_ PLAN_HM modeling but slightly less accurate than those obtained with conventional D_ PLAN_HMD modeling at the top of the column.

Value tested

Height (m)

Height (m)

Instant (s)

Type

Reference

Displacement PRE1

8.75

ANALYTIQUE

1.54

Displacement PRE1

9.375

ANALYTIQUE

1.54

Displacement PRE1

0.0

ANALYTIQUE

1.055586481

Displacement PRE1

0.625

ANALYTIQUE

1.050600547

Displacement PRE1

1.25

ANALYTIQUE

1.035682408

Displacement PRE1

1.875

ANALYTIQUE

1.010951397

Displacement PRE1

2.5

ANALYTIQUE

0.9766074572

Displacement PRE1

3.125

ANALYTIQUE

0.9329325102

Displacement PRE1

3.75

ANALYTIQUE

0.8802919447

Displacement PRE1

4.375

ANALYTIQUE

0.8191358517

Displacement PRE1

5.0

ANALYTIQUE

0.7499995876

Displacement PRE1

5.625

ANALYTIQUE

0.6735032343

Displacement PRE1

6.25

ANALYTIQUE

0.5903495681

Displacement PRE1

6.875

ANALYTIQUE

0.5013202135

Displacement PRE1

7.5

ANALYTIQUE

0.4072697703

Displacement PRE1

8.125

ANALYTIQUE

0.3091178253

Displacement PRE1

8.75

ANALYTIQUE

0.207838906

Displacement PRE1

9.375

ANALYTIQUE

0.104450576

Displacement PRE1

10.0

ANALYTIQUE

0.00

Constraint SIYY

8.75

0.00

ANALYTIQUE

0.00

Constraint SIYY

0.0

ANALYTIQUE

-0.484413519

Constraint SIYY

0.625

ANALYTIQUE

-0.489399453

Constraint SIYY

1.25

ANALYTIQUE

-0.504317591

Constraint SIYY

1.875

ANALYTIQUE

-0.529048602

Constraint SIYY

2.5

ANALYTIQUE

-0.563392542

Constraint SIYY

3.125

ANALYTIQUE

-0.607067489

Constraint SIYY

3.75

ANALYTIQUE

-0.659708055

Constraint SIYY

4.375

ANALYTIQUE

-0.720864148

Constraint SIYY

5.0

ANALYTIQUE

-0.790000412

Constraint SIYY

5.625

ANALYTIQUE

-0.866496765

Constraint SIYY

6.25

ANALYTIQUE

-0.949650431

Constraint SIYY

6.875

ANALYTIQUE

-1.038679786

Constraint SIYY

7.5

ANALYTIQUE

-1.13273023

Constraint SIYY

8.125

ANALYTIQUE

-1.230882175

Constraint SIYY

8.75

ANALYTIQUE

-1.332161093

Constraint SIYY

9.375

ANALYTIQUE

-1.435549423

Constraint SIYY

10.0

ANALYTIQUE

-1.54

Constraint VMIS

10.0

NON_REGRESSION

1.54

Constraint VMIS_SG

10.0

NON_REGRESSION

-1.54

Constraint PRIN_1

10.0

NON_REGRESSION

-1.54

Constraint PRIN_2

10.0

NON_REGRESSION

0.00

Constraint PRIN_3

10.0

NON_REGRESSION

0.00

Constraint TRESCA

10.0

NON_REGRESSION

1.54