These six parameters are interdependent so that if any two parameters are known the other four parameters can be calculated.
| Link |
| Module List |
| CALC : Material : Modulus 001 : Material Elastic Moduli From Youngs Modulus And Poissons Ratio : Calculator
Description : Calculate the material elastic moduli from Youngs modulus and Poissons ratio.
Discussion : Calculates the material bulk modulus, Lames first parameter, shear modulus and p-wave modulus.
Input Variables :
- ν = Poisson's Ratio
- E = Material Youngs Modulus E
Output Variables :
- G = Material Shear Modulus G
- K = Material Bulk Modulus K
- M = Material P-Wave Modulus M
- λ = Material Lames First Parameter
Calculation :
K = E / ( 3 ( 1 - 2 ν ) )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
G = E / ( 2 ( 1 + ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 002 : Material Elastic Moduli From Lames First Parameter And Shear Modulus : Calculator
Description : Calculate the material elastic moduli from Lames first parameter and the shear modulus.
Discussion : Calculates the material Youngs modulus, Poissons ratio, bulk modulus and p-wave modulus.
Input Variables :
- λ = Material Lames First Parameter
- G = Material Shear Modulus G
Output Variables :
- ν = Poisson's Ratio
- E = Material Youngs Modulus E
- K = Material Bulk Modulus K
- M = Material P-Wave Modulus M
Calculation :
E = ( G ( 3 λ + 2 G ) ) / ( λ + G )
ν = λ / ( 2 ( λ + G ) )
K = E / ( 3 ( 1 - 2 ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 003 : Material Elastic Moduli From Youngs Modulus And Shear Modulus : Calculator
Description : Calculate the material elastic moduli from Youngs modulus and the shear modulus.
Discussion : Calculates the material Lames first parameter, Poissons ratio, bulk modulus and p-wave modulus.
Input Variables :
- E = Material Youngs Modulus E
- G = Material Shear Modulus G
Output Variables :
- λ = Material Lames First Parameter
- ν = Poisson's Ratio
- K = Material Bulk Modulus K
- M = Material P-Wave Modulus M
Calculation :
ν = E / ( 2 G ) - 1
K = E / ( 3 ( 1 - 2 ν ) )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 004 : Material Elastic Moduli From Lames First Parameter And Bulk Modulus : Calculator
Description : Calculate the material elastic moduli from the bulk modulus and Lames first parameter.
Discussion : Calculates the material shear modulus, Poissons ratio, Youngs modulus and p-wave modulus.
Input Variables :
- λ = Material Lames First Parameter
- K = Material Bulk Modulus K
Output Variables :
- ν = Poisson's Ratio
- E = Material Youngs Modulus E
- G = Material Shear Modulus G
- M = Material P-Wave Modulus M
Calculation :
E = ( 9 K ( K - λ ) ) / ( 3 K - λ )
ν = λ / ( 3 K - λ )
G = E / ( 2 ( 1 + ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 005 : Material Elastic Moduli From Bulk Modulus And Shear Modulus : Calculator
Description : Calculate the material elastic moduli from the bulk modulus and shear modulus.
Discussion : Calculates the material Lames first parameter, Poissons ratio, Youngs modulus and p-wave modulus.
Input Variables :
- G = Material Shear Modulus G
- K = Material Bulk Modulus K
Output Variables :
- λ = Material Lames First Parameter
- ν = Poisson's Ratio
- E = Material Youngs Modulus E
- M = Material P-Wave Modulus M
Calculation :
E = ( 9 K G ) / ( 3 K + G )
ν = ( 3 K - 2 G ) / ( 6 K + 2 G )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 006 : Material Elastic Moduli From Lames First Parameter And Poisson Ratio : Calculator
Description : Calculate the material elastic moduli from Lames first parameter and Poissons ratio.
Discussion : Calculates the material bulk modulus, shear modulus, Youngs modulus and p-wave modulus.
Input Variables :
- λ = Material Lames First Parameter
- ν = Poisson's Ratio
Output Variables :
- E = Material Youngs Modulus E
- G = Material Shear Modulus G
- K = Material Bulk Modulus K
- M = Material P-Wave Modulus M
Calculation :
E = ( λ ( 1 + ν )( 1 - 2 ν ) ) / ν
K = E / ( 3 ( 1 - 2 ν ) )
G = E / ( 2 ( 1 + ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 007 : Material Elastic Moduli From Poisson Ratio And Shear Modulus : Calculator
Description : Calculate the material elastic moduli from the shear modulus and Poissons ratio.
Discussion : Calculates the material bulk modulus, Lames first parameter, Youngs modulus and p-wave modulus.
Input Variables :
- ν = Poisson's Ratio
- G = Material Shear Modulus G
Output Variables :
- λ = Material Lames First Parameter
- E = Material Youngs Modulus E
- K = Material Bulk Modulus K
- M = Material P-Wave Modulus M
Calculation :
E = 2 G ( 1 + ν )
K = E / ( 3 ( 1 - 2 ν ) )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 008 : Material Elastic Moduli From Poissons Ratio And Bulk Modulus : Calculator
Description : Calculate the material elastic moduli from the bulk modulus and Poissons ratio.
Discussion : Calculates the material shear modulus, Lames first parameter, Youngs modulus and p-wave modulus.
Input Variables :
- ν = Poisson's Ratio
- K = Material Bulk Modulus K
Output Variables :
- λ = Material Lames First Parameter
- E = Material Youngs Modulus E
- G = Material Shear Modulus G
- M = Material P-Wave Modulus M
Calculation :
E = 3 K ( 1 - 2 ν )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
G = E / ( 2 ( 1 + ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 009 : Material Elastic Moduli Bulk Modulus And Youngs Modulus : Calculator
Description : Calculate the material elastic moduli from the bulk modulus and Youngs modulus.
Discussion : Calculates the material shear modulus, Lames first parameter, Poissons ratio and p-wave modulus.
Input Variables :
- E = Material Youngs Modulus E
- K = Material Bulk Modulus K
Output Variables :
- λ = Material Lames First Parameter
- ν = Poisson's Ratio
- G = Material Shear Modulus G
- M = Material P-Wave Modulus M
Calculation :
ν = ( 3 K - E ) / ( 6 K )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
G = E / ( 2 ( 1 + ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 010 : Material Elastic Moduli From P-Wave Modulus And Shear Modulus : Calculator
Description : Calculate the material elastic moduli from the shear modulus and p-wave modulus.
Discussion : Calculates the material bulk modulus, Youngs modulus, Poissons ratio and Lames first parameter.
Input Variables :
- G = Material Shear Modulus G
- M = Material P-Wave Modulus M
Output Variables :
- λ = Material Lames First Parameter
- ν = Poisson's Ratio
- E = Material Youngs Modulus E
- K = Material Bulk Modulus K
Calculation :
E = ( G ( 3 M - 4 G ) ) / ( M - G )
ν = ( M - 2 G ) / ( 2 M - 2 G )
K = E / ( 3 ( 1 - 2 ν ) )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 011 : Material Elastic Moduli From P-Wave Modulus And Bulk Modulus : Calculator
Description : Calculate the material elastic moduli from the bulk modulus and p-wave modulus.
Discussion : Calculates the material shear modulus, Youngs modulus, Poissons ratio and Lames first parameter.
Input Variables :
- K = Material Bulk Modulus K
- M = Material P-Wave Modulus M
Output Variables :
- λ = Material Lames First Parameter
- ν = Poisson's Ratio
- E = Material Youngs Modulus E
- G = Material Shear Modulus G
Calculation :
G = ( 3 ( M - K ) ) / 4
E = ( 9 K G ) / ( 3 K + G )
ν = ( 3 K - 2 G ) / ( 6 K + 2 G )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 012 : Material Elastic Moduli From P-Wave Modulus And Poisson Ratio : Calculator
Description : Calculate the material elastic moduli from the Poissons ratio and p-wave modulus.
Discussion : Calculates the material shear modulus, Youngs modulus, bulk modulus and Lames first parameter.
Input Variables :
- ν = Poisson's Ratio
- M = Material P-Wave Modulus M
Output Variables :
- λ = Material Lames First Parameter
- E = Material Youngs Modulus E
- G = Material Shear Modulus G
- K = Material Bulk Modulus K
Calculation :
λ = ( M ν ) / ( 1 - ν )
E = ( λ ( 1 + ν )( 1 - 2 ν ) ) / ν
K = E / ( 3 ( 1 - 2 ν ) )
G = E / ( 2 ( 1 + ν ) )
Back To Top
|
| CALC : Material : Modulus 013 : Material Elastic Moduli From P-Wave Modulus And Poisson Ratio : Calculator
Description : Calculate the material elastic moduli from the p-wave modulus and Lames first parameter.
Discussion : Calculates the material shear modulus, Youngs modulus, bulk modulus and Poissons ratio.
Input Variables :
- λ = Material Lames First Parameter
- M = Material P-Wave Modulus M
Output Variables :
- ν = Poisson's Ratio
- E = Material Youngs Modulus E
- G = Material Shear Modulus G
- K = Material Bulk Modulus K
Calculation :
G = ( M - λ ) / 2
E = ( G ( 3 λ + 2 G ) ) / ( λ + G )
ν = λ / ( 2 ( λ + G ) )
K = E / ( 3 ( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 014 : Material Elastic Moduli From P-Wave Modulus And Lames First Parameter : Calculator
Description : Calculate the material elastic moduli from the p-wave modulus and Youngs modulus.
Discussion : Calculates the material shear modulus, Lames first parameter, bulk modulus and Poissons ratio.
Input Variables :
- E = Material Youngs Modulus E
- M = Material P-Wave Modulus M
Output Variables :
- λ = Material Lames First Parameter
- ν = Poisson's Ratio
- G = Material Shear Modulus G
- K = Material Bulk Modulus K
Calculation :
G = ( 3 M + E - √( ( 3 M + E ) 2 - 16 E M ) ) / 8
ν = E / ( 2 G ) - 1
K = E / ( 3 ( 1 - 2 ν ) )
λ = ( E ν ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|
| CALC : Material : Modulus 015 : Material Elastic Moduli From Youngs Modulus And Lames First Parameter : Calculator
Description : Calculate the material elastic moduli from Lames first parameter and Youngs modulus.
Discussion : Calculates the material shear modulus, p-wave modulus, bulk modulus and Poissons ratio.
Input Variables :
- λ = Material Lames First Parameter
- E = Material Youngs Modulus E
Output Variables :
- ν = Poisson's Ratio
- G = Material Shear Modulus G
- K = Material Bulk Modulus K
- M = Material P-Wave Modulus M
Calculation :
G = ( - 3 λ + E + √( ( 3 λ - E ) 2 + 8 E λ ) ) / 4
ν = E / ( 2 G ) - 1
K = E / ( 3 ( 1 - 2 ν ) )
M = ( E ( 1 - ν ) ) / ( ( 1 + ν )( 1 - 2 ν ) )
Back To Top
|