multiPlas - Dynardo GmbH
multiPlas - Dynardo GmbH
multiPlas - Dynardo GmbH
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Following yield conditions are used:<br />
Fiber rupture (tensile failure longitudinal)<br />
F σ ( 3)<br />
-f ⋅ = 0<br />
(3-25)<br />
1 = Lt ΩLt<br />
Fiber compressions (compression failure longitudinal)<br />
F −σ<br />
( 3)<br />
-f ⋅ = 0<br />
(3-26)<br />
2<br />
= Lc ΩLc<br />
Crack parallel to LT-Plane<br />
F<br />
F<br />
3<br />
4<br />
2<br />
( 6)<br />
⎞ ⎛ σ(<br />
4)<br />
⎛ σ<br />
⎞<br />
= ⎜ ⎟ + ⎜ ⎟ -1<br />
= 0<br />
⎝ fRLs<br />
⋅ ΩRLs<br />
⎠ ⎝ fRTs<br />
⋅ ΩRTs<br />
⎠<br />
2<br />
2<br />
( 1)<br />
⎞ ⎛ σ(<br />
4)<br />
⎞ ⎛ σ(<br />
6)<br />
⎛ σ<br />
⎞<br />
= ⎜ ⎟ + ⎜ ⎟ + ⎜ ⎟ -1<br />
= 0<br />
⎝ fRt<br />
⋅ ΩRt<br />
⎠ ⎝ fRTs<br />
⋅ ΩRTs<br />
⎠ ⎝ fRLs<br />
⋅ ΩRLs<br />
⎠<br />
2<br />
2<br />
26<br />
(3-27)<br />
(3-28)<br />
Radial Compression of fiber (compression failure radial)<br />
F −σ(<br />
1)<br />
-f ⋅ = 0<br />
(3-29)<br />
5<br />
= Rc ΩRc<br />
Crack parallel to LR-Plane<br />
F<br />
6<br />
2<br />
2<br />
( 2)<br />
⎞ ⎛ σ(<br />
4)<br />
⎞ ⎛ σ(<br />
5)<br />
⎛ σ<br />
⎞<br />
= ⎜ ⎟ + ⎜ ⎟ + ⎜ ⎟ -1<br />
= 0<br />
⎝ fTt<br />
⋅ ΩTt<br />
⎠ ⎝ fTRs<br />
⋅ ΩTRs<br />
⎠ ⎝ fTLs<br />
⋅ ΩTLs<br />
⎠<br />
2<br />
(3-30)<br />
Tangential Compression of fiber<br />
F −σ(<br />
2)<br />
-f ⋅ = 0<br />
(3-31)<br />
7<br />
= Tc ΩTc<br />
3.3.8.1 Nonlinear deformation behaviour<br />
f Lc<br />
f Lc1<br />
f Lc2<br />
f Lc0<br />
EL cc<br />
ε Lc1<br />
EL cc<br />
ε Lc2 ε Lc3 ε Lc<br />
Fig. 3-23 Stress-strain relation - compression in fiber direction (longitudinal)<br />
USER’S MANUAL, January, 2013
Change language