Plane strain elements with pore pressure
Problem description
Model:
| Planar dimension
|
3 × 5
|
| Gravity load vector
|
(1, 1, 0)
|
Material:
| Young's modulus
|
1 × 108
|
| Poisson's ratio
|
0.0
|
| Density
|
1.4142
|
| Permeability
|
1 × 10−5
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void ratio
|
1.0
|
| Hydrostatic pressure datum
|
5.0
|
| Hydrostatic pressure elevation
|
0.0
|
| Sink pore pressure
|
14.7
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Axisymmetric elements with pore pressure
Problem description
Model:
| Planar dimension
|
3 × 5
|
| Inside radius
|
1.0
|
| Gravity load vector
|
(1, 1, 0)
|
Material:
| Young's modulus
|
1 × 108
|
| Poisson's ratio
|
0.0
|
| Density
|
1.4142
|
| Permeability
|
1 × 10−5
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void ratio
|
1.0
|
| Hydrostatic pressure datum
|
5.0
|
| Hydrostatic pressure elevation
|
0.0
|
| Sink pore pressure
|
14.7
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Three-dimensional elements with pore pressure
Problem description
Model:
| Cubic dimension
|
3 × 5 × 1
|
| Gravity load vector
|
(1, 1, 1)
|
Material:
| Young's modulus
|
1 × 108
|
| Poisson's ratio
|
0.0
|
| Density
|
1.7321
|
| Permeability
|
1 × 10−5
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void ratio
|
1.0
|
| Hydrostatic pressure datum
|
5.0
|
| Hydrostatic pressure elevation
|
0.0
|
| Sink pore pressure
|
14.7
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
CAXA elements with pore pressure
Problem description
Model:
| Planar dimension
|
3 × 5
|
| Inside radius
|
1.0
|
| Gravity load vector
|
(1, 1, 0)
|
Material:
| Young's modulus
|
1 × 108
|
| Poisson's ratio
|
0.0
|
| Density
|
1.4142
|
| Permeability
|
1 × 10−5
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void ratio
|
1.0
|
| Hydrostatic pressure datum
|
5.0
|
| Hydrostatic pressure elevation
|
0.0
|
| Sink pore pressure
|
14.7
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Plane strain pore-thermal elements
Problem description
Model:
| Planar dimension
|
3 × 5
|
| Gravity direction
|
(1, 1, 0)
|
Material:
| Young's modulus
|
1 × 108
|
| Poisson's ratio
|
0.0
|
| Density
|
1.4142
|
| Permeability
|
1 × 10-5
|
| Thermal conductivity
|
0.1
|
Initial conditions
| Initial void ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Plane strain pore-thermal elements with flow loads
Problem description
Model:
Material:
| Young's modulus
|
1 × 108
|
| Poisson's ratio
|
0.0
|
| Density
|
1.4142
|
| Permeability
|
1 × 10-5
|
| Thermal conductivity
|
0.1
|
| Specific heat
|
0.39
|
Initial conditions
| Initial void ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Plane strain pore-thermal elements with heat loads
Problem description
Model:
Material:
| Young's modulus
|
30 × 106
|
| Poisson's ratio
|
0.3
|
| Permeability
|
1 × 10-5
|
| Coefficient of thermal expansion
|
0.0
|
| Thermal conductivity
|
3.77 × 10-5
|
| Density
|
82.9
|
| Specific heat
|
0.39
|
| Coefficient of thermal expansion, pore fluid
|
0.0
|
| Thermal conductivity, pore fluid
|
3.77 × 10-5
|
| Density, pore fluid
|
82.9
|
| Specific heat, pore fluid
|
0.39
|
Initial conditions
| Initial void ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Three-dimensional pore-thermal elements
Problem description
Model:
| Cubic dimension
|
7 × 7 × 7
|
| Gravity direction
|
(1, 0, 0)
|
Material:
| Modulus
|
3 × 106
|
| Density
|
10.0
|
| Expansion
|
0.0001
|
| Specific heat
|
1.0
|
| Conductivity
|
0.1
|
| Density, pore fluid
|
10.0
|
| Expansion, pore fluid
|
0.0001
|
| Specific heat, pore fluid
|
1.0
|
| Conductivity, pore fluid
|
0.1
|
| Permeability
|
0.01
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Three-dimensional pore-thermal elements with flow loads
Problem description
Model:
| Cubic dimension
|
5 × 3 × 1
|
| Gravity direction
|
(1, 1, 1)
|
Material:
| Modulus
|
1 × 108
|
| Density
|
1.7321
|
| Expansion
|
0.0
|
| Specific heat
|
10.0
|
| Conductivity
|
1.0
|
| Density, pore fluid
|
1.7321
|
| Expansion, pore fluid
|
0.0
|
| Specific heat, pore fluid
|
10.0
|
| Conductivity, pore fluid
|
1.0
|
| Permeability
|
1 × 10−5
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void's ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Three-dimensional pore-thermal elements with heat loads
Problem description
Model:
For this set of verification problems both the solid and the pore fluid used
identical heat transfer properties so that results could be compared with
conventional heat transfer elements.
| Cubic dimension
|
7 × 7 × 7
|
Material:
| Modulus
|
3 × 106
|
| Density
|
82.9
|
| Expansion
|
0.0
|
| Specific heat
|
0.39
|
| Conductivity
|
3.77 × 10−5
|
| Density, pore fluid
|
82.9
|
| Expansion, pore fluid
|
0.0
|
| Specific heat, pore fluid
|
0.39
|
| Conductivity, pore fluid
|
3.77 × 10−5
|
| Permeability
|
0.001
|
| Specific weight of fluid
|
10.0
|
Initial conditions
| Initial void's ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Axisymmetric pore-thermal elements
Problem description
Model:
Material:
| Modulus
|
3 × 106
|
| Density
|
5 × 10−5
|
| Expansion
|
0.0001
|
| Specific heat
|
1.0
|
| Conductivity
|
0.1
|
| Density, pore fluid
|
5 × 105
|
| Expansion, pore fluid
|
0.0001
|
| Specific heat, pore fluid
|
1.0
|
| Conductivity, pore fluid
|
0.1
|
| Permeability
|
0.01
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void's ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Axisymmetric pore-thermal elements with flow loads
Problem description
Model:
Material:
| Modulus
|
1 × 108
|
| Density
|
1.4142
|
| Expansion
|
0.0
|
| Specific heat
|
10.0
|
| Conductivity
|
1.0
|
| Density, pore fluid
|
1.4142
|
| Expansion, pore fluid
|
0.0
|
| Specific heat, pore fluid
|
10.0
|
| Conductivity, pore fluid
|
1.0
|
| Permeability
|
1 × 10−5
|
| Specific weight of fluid
|
1.0
|
Initial conditions
| Initial void's ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
Axisymmetric pore-thermal elements with heat loads
Problem description
Model:
For this set of verification problems both the solid and the pore fluid used
identical heat transfer properties so that results could be compared with
conventional heat transfer elements.
Material:
| Modulus
|
30 × 106
|
| Density
|
82.9
|
| Expansion
|
0.0
|
| Specific heat
|
0.39
|
| Conductivity
|
3.77 × 10−5
|
| Density, pore fluid
|
82.9
|
| Expansion, pore fluid
|
0.0
|
| Specific heat, pore fluid
|
0.39
|
| Conductivity, pore fluid
|
3.77 × 10−5
|
| Permeability
|
0.001
|
| Specific weight of fluid
|
10.0
|
Initial conditions
| Initial void's ratio
|
1.0
|
| Initial temperature
|
0.0
|
| Initial pore pressure
|
0.0
|
Results and discussion
The calculated reactions are in agreement with the applied loads.
|