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manual-appendix-materials-cohesive.tex
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manual-appendix-materials-cohesive.tex
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\section
{
Cohesive linear
}
\begin
{
MaterialDesc
}{
cohesive
\_
linear
}{
ssect:smm:cl:coh-snozzi
}
\matparam
{
sigma
\_
c
}{
Real
}{
Critical stress
$
\sigma
_
\mathrm
{c}
$
}
\\
Either G
\_
c and kappa or, G
\_
cI and G
\_
cII or delta
\_
c have to be specified
\matparam
{
G
\_
c
}{
Real
}{
Mode I fracture energy
}
\matparam
{
kappa
}{
Real
}{
$
\kappa
=
G
\_
cI
/
G
\_
cII
$
parameter (default 1)
}
\matparam
{
G
\_
cI (G
\_
cII)
}{
Real
}{
Mode I (II) fracture energy
}
\matparam
{
delta
\_
c
}{
Real
}{
Critical displacement
$
\delta
_
\mathrm
{c}
$
}
\matparam
{
beta
}{
Real
}{
$
\beta
$
parameter
}
\matparam
{
penalty
}{
Real
}{
penalty coefficient
$
\alpha
$
(optional)
}
\matparam
{
volume
\_
s
\&
m
\_
s
}{
Reals
}{
OPTIONAL: to adapt statistical distribution following~
\cite
{
Zhou
_
Molinari
_
2004
}}
\end
{
MaterialDesc
}
\section
{
Cohesive bilinear
}
\begin
{
MaterialDesc
}{
cohesive
\_
bilinear
}{
ssect:smm:cl:coh-snozzi
}
\matparam
{
sigma
\_
c
}{
Real
}{
Critical stress
$
\sigma
_
\mathrm
{c}
$
}
\\
Either G
\_
c and kappa or, G
\_
cI and G
\_
cII or delta
\_
c have to be specified
\matparam
{
G
\_
c
}{
Real
}{
Mode I fracture energy
}
\matparam
{
kappa
}{
Real
}{
$
\kappa
=
G
\_
cI
/
G
\_
cII
$
parameter (default 1)
}
\matparam
{
G
\_
cI (G
\_
cII)
}{
Real
}{
Mode I (II) fracture energy
}
\matparam
{
delta
\_
c
}{
Real
}{
Critical displacement
$
\delta
_
\mathrm
{c}
$
}
\matparam
{
beta
}{
Real
}{
$
\beta
$
parameter
}
\matparam
{
penalty
}{
Real
}{
Penalty coefficient
$
\alpha
$
}
\matparam
{
delta
\_
0
}{
Real
}{
Elastic limit displacement
$
\delta
_
0
$
}
\end
{
MaterialDesc
}
\section
{
Cohesive exponential
}
\begin
{
MaterialDesc
}{
cohesive
\_
exponential
}{
ssect:smm:cl:coh-exponential
}
\matparam
{
sigma
\_
c
}{
Real
}{
Critical stress
$
\sigma
_
\mathrm
{c}
$
}
\matparam
{
delta
\_
c
}{
Real
}{
Critical displacement
$
\delta
_
\mathrm
{c}
$
}
\matparam
{
beta
}{
Real
}{
$
\beta
$
parameter
}
\end
{
MaterialDesc
}
\section
{
Cohesive linear fatigue
}
\begin
{
MaterialDesc
}{
cohesive
\_
linear
\_
fatigue
}{
ssect:smm:cl:coh-fatigue
}
\matparam
{
sigma
\_
c
}{
Real
}{
Critical stress
$
\sigma
_
\mathrm
{c}
$
}
\matparam
{
delta
\_
c
}{
Real
}{
Critical displacement
$
\delta
_
\mathrm
{c}
$
}
\matparam
{
beta
}{
Real
}{
$
\beta
$
parameter
}
\matparam
{
G
\_
c
}{
Real
}{
Mode I fracture energy
}
\matparam
{
kappa
}{
Real
}{
$
\kappa
$
parameter
}
\matparam
{
penalty
}{
Real
}{
penalty coefficient
$
\alpha
$
}
\matparam
{
delta
\_
f
}{
Real
}{
Characteristic opening displacement
$
\delta
_
\mathrm
{f}
$
}
\end
{
MaterialDesc
}
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