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.
|