Table of Contents

SILCOETC

Description

Full law name : SILCOETC3D

Coupled plastic-damage multiracial constitutive law for concrete behaviour.

For further details see PhD thesis of Thomas Gernay or Andra report by B. Cerfontaine.

The model

Files

Prepro: LSILCOETC3D.F
Lagamine: PIL_SILCOET3D.F

Availability

Plane stress state NO
Plane strain state YES
Axisymmetric state NO
3D state YES
Generalized plane state NO

Input file

Parameters defining the type of constitutive law

Line 1 (2I5, 60A1)
ILLaw number
ITYPE 618
COMMNT Any comment (up to 60 characters) that will be reproduced on the output listing

Integer parameters

Line 1 (6I5)
NINTV = 0 : By default
ISOL = 0 : Use of total stresses in the constitutive law
≠ 0 : Use of effective stresses in the constitutive law (See annex 7)
KMETH = 2 : Actualised vgrad method
= 3 : Mean vgrad method (default)
ITEMP $n$ = 0 : Influence of temperature (not yet activated) (by default)
ICREEP = 0 : Introduction of creep (not yet activated) (by default)
IHYDR = 0 : Early age behaviour (not yet activated) (by default)

Real parameters

Line 1 (5G10.0)
fc Uniaxial compression strength
ft Uniaxial tension strength
fc0 Uniaxial compression elastic limit (by default = 0.3fc)
fb Biaxial strength (by default = 1.16fc)
$\varepsilon_{peak}$ Total deformation at peak stress for uniaxial compression
Line 2 (4G10.0)
ANU POISSON's ratio
E YOUNG's elastic modulus
DIV DIV parameter
RHO Specific mass
Line 3 (4G10.0)
$\alpha$g Dilatancy parameters
dc Damage at peak stress for uniaxial compression
gt Crack energy density per unit volume [Nm/m$^2$]
xc Ratio between crack energy dissipated before peak and total energy dissipated

If ICREEP == 1 :

Line 4 (XG10.0)
X Creep parameters

If IHYDR == 1 :

Line 5 (4G10.0)
ALPHATH Hydration threshold (properties are equal to Eth/E0)
Pa Parameter for the evolution of strength
Pb Parameter for the evolution of stiffness
Eth Elastic stiffness below threshold

Note : The evolution of the hydration degree must be specified in file .hydr such that :

TIMES
(I10) Number of time steps defined below
(2G10.0,repeated) Time step, alpha

Stresses

Number of stresses

6 for 3D state
4 for the other cases

Meaning

The stresses are the components of CAUCHY stress tensor in global (X,Y,Z) coordinates.

For the 3-D state:

SIG(1)$\sigma_{xx}$
SIG(2)$\sigma_{yy}$
SIG(3)$\sigma_{zz}$
SIG(4)$\sigma_{xy}$
SIG(5)$\sigma_{xz}$
SIG(6)$\sigma_{yz}$

For the other cases:

SIG(1)$\sigma_{xx}$
SIG(2)$\sigma_{yy}$
SIG(3)$\sigma_{xy}$
SIG(4)$\sigma_{zz}$

State variables

Number of state variables

44

List of state variables

Q(1) Element thickness ($t$) in plane stress state
= 1 : Plane strain state
Circumferential strain rate ($\varepsilon_r$) in axisymmetrical state
= 0 : 3D state
Element thickness ($t$) in generalized plane state
Q(2) Nothing
Q(3) Volumetric deformation
Q(4-9) Total strain (mechanical + transient)
Q(10-15) Mechanical strain
Q(16-21) Transient creep strain
Q(22-27) Plastic strain
Q(29-30) Damage : dt, dc
Q(31-32) Internal variables : kt, kc
Q(33-38) Effective stress
Q(39-44) Compressive part of the effective stress