CDPM2 Model for Concrete Material
material CDPM2 (1) [2-16]
material CDPM2ISO (1) [2-16]
material CDPM2ANISO (1) [2-16]
# (1) int, unique material tag
# [2] double, elastic modulus, default: 3E4
# [3] double, poissons ratio, default: 0.3
# [4] double, tension strength (positive), default: 3.0
# [5] double, compression strength (positive), default: 30.0
# [6] double, q_h0, initial hardening factor, default: 0.3
# [7] double, h_p hardening ratio, default: .01
# [8] double, d_f, default: .85
# [9] double, a_h, hardening related parameter, default: 0.08
# [10] double, b_h, hardening related parameter, default: 0.003
# [11] double, c_h, hardening related parameter, default: 2.0
# [12] double, d_h, hardening related parameter, default: 1E-6
# [13] double, a_s, ductility related parameter, default: 5.0
# [14] double, e_ft, tension softening parameter, default: 5E-4
# [15] double, e_fc, compression softening parameter, default: 5E-4
# [16] double, density, default: 0.0
- The isotropic damage is implemented.
- The anisotropic damage is implemented.
- For detailed explanations of parameters, please refer to 10.1016/j.ijsolstr.2013.07.008.
- The default
CDPM2
uses isotropic damage, which is equivalent toCDPM2ISO
. - The token
CDPM2ANISO
uses anisotropic damage. - If damage is activated, both tension and compression use the exponential damage model, the degradation is controlled by parameters [14] and [15]. The characteristic length can be accounted for by modifying them.
Details of implementation can be seen in the corresponding section in Constitutive Modelling Cookbook.
This model supports the following additional history variables to be recorded.
variable label | physical meaning |
---|---|
DT | tensile damage |
DC | compressive damage |
The isotropic damage uses the following expression for the final stress
The anisotropic damage uses the following expression,
In the above expressions,
Both damage types have physical implications. Depending on the damage type, the model parameters may be adjusted differently.
The reference strains
The following are two examples, using different values of