Civil Engineering Reference
In-Depth Information
2.6.3.
Models based on damage mechanics
2.6.3.1.
Mazars
- Reference: [MAZ 84].
- Principle: isotropic damage (explicit formulation).
- Application field: low pressures (structures, beams), traction.
- Can model: damage, negative strain hardening.
- Cannot model: compaction, sliding.
- Model data: coefficients of elasticity, threshold strain and parameters of
calculation of D:
ª
º
- behavior law:
¼
;
[2.44]
V
1
D
O
trace
H
2
P
H
¬
2
2
2
- equivalent strain:
H
¢² ¢² ¢²
H
H
H
.
[2.45]
1
2
3
H
there is damage, and the threshold surface is written:
If
H
0
[2.46]
f
H
,
D
H H
0
D
0
The variable
D
integrates traction damage as well as compression damage:
DD D
DD
[2.47]
t
t
cc
2.6.3.2.
La Borderie
- Reference: [LAB 91].
- Principle: scalar damaging (implicit formulation).
- Application field: cyclic loading, structures.
- Can model: stiffness loss (deterioration under traction stresses, remnant strains,
stiffness recovery).
- Cannot model: compaction.
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