Jorgen
2007-08-28, 21:14
The Materials and Models (http://polymerfem.com/cmps_index.php?pageid=mat_mod) section contains experimental data and model predictions for different polymers. This information can be very useful if you want to find the best material model for a particular material.
The necessary material parameters for each model are also given, although in a somewhat undocumented format. This news article presents how the given material parameters for the neo-Hookean, Arruda-Boyce, and the Yeoh model can be converted to a format that can be directly given to your FE program...
The Neo-Hookean Model
The given material parameters are:
1. mu (shear modulus)
2. kappa (bulk modulus)
The ABAQUS implementation (*Hyperelastic) requires the two
parameters C10 and D1. These two parameters can be obtained from
the following equations:
C10 = mu / 2
D1 = 2 / kappa
The LS-DYNA implementation (*Mat_Hyperelatic_Rubber) requires the two
parameters C10 and nu. The parameter nu can be obtained from the
the following equation:
nu = (3*kappa - 2*mu) / (6*kappa + 2*mu)
The Arruda-Boyce 8-chain model
The given material parameters are:
1. mu (shear modulus)
2. lamLock (locking stretch)
3. kappa (bulk modulus).
The ABAQUS implementation (*Hyperelastic) requires the three parameters mu, lamM, and D. The parameter D can be obtained from the following equation:
D = 2 / kappa
The LS-DYNA implementation (*Mat_Hyperelatic_Rubber) requires the three parameters G, N, and kappa. These parameters can be obtained from the following equations:
G = mu
N = lamLock^2
The Yeoh Model
The given material parameters are:
1. C10
2. C20
3. C30
4. kappa
The ABAQUS implementation (*Hyperelastic) requires the four parameters C10, C20, C30 and D. The parameter D can be obtained from the following equation:
D = 2 / kappa
The LS-DYNA implementation (*Mat_Hyperelatic_Rubber) requires the four parameters C10, C20, C30 and nu. The parameter nu can be obtained from the following equation:
nu = (3*kappa - 2*mu) / (6*kappa + 2*mu)
The necessary material parameters for each model are also given, although in a somewhat undocumented format. This news article presents how the given material parameters for the neo-Hookean, Arruda-Boyce, and the Yeoh model can be converted to a format that can be directly given to your FE program...
The Neo-Hookean Model
The given material parameters are:
1. mu (shear modulus)
2. kappa (bulk modulus)
The ABAQUS implementation (*Hyperelastic) requires the two
parameters C10 and D1. These two parameters can be obtained from
the following equations:
C10 = mu / 2
D1 = 2 / kappa
The LS-DYNA implementation (*Mat_Hyperelatic_Rubber) requires the two
parameters C10 and nu. The parameter nu can be obtained from the
the following equation:
nu = (3*kappa - 2*mu) / (6*kappa + 2*mu)
The Arruda-Boyce 8-chain model
The given material parameters are:
1. mu (shear modulus)
2. lamLock (locking stretch)
3. kappa (bulk modulus).
The ABAQUS implementation (*Hyperelastic) requires the three parameters mu, lamM, and D. The parameter D can be obtained from the following equation:
D = 2 / kappa
The LS-DYNA implementation (*Mat_Hyperelatic_Rubber) requires the three parameters G, N, and kappa. These parameters can be obtained from the following equations:
G = mu
N = lamLock^2
The Yeoh Model
The given material parameters are:
1. C10
2. C20
3. C30
4. kappa
The ABAQUS implementation (*Hyperelastic) requires the four parameters C10, C20, C30 and D. The parameter D can be obtained from the following equation:
D = 2 / kappa
The LS-DYNA implementation (*Mat_Hyperelatic_Rubber) requires the four parameters C10, C20, C30 and nu. The parameter nu can be obtained from the following equation:
nu = (3*kappa - 2*mu) / (6*kappa + 2*mu)