Residual thermal stresses in the pull-out specimen: A finite element calculation |
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Authors: | F -H Leroy M -H Auvray P -M Lesne |
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Affiliation: | (1) Office National d'Etudes et de Recherches Aérospatiales, BP72, 92322 Chatillon Cedex, France |
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Abstract: | The residual thermal stress field in the pull-out specimen is calculated in the case of a high properties thermoset system (carbon-bismaleimide). The calculation is performed within the framework of the linear theory of elasticity by means of a finite element method. The specimen is modelled as a three-phase composite (holder-fibre-matrix). The meniscus which forms at the fibre entry is taken into account in order to provide a realistic stress concentration. The latter is far higher than the matrix strength. Evidence that fibre debonding propagates from the fibre end during cooling is then produced.Nomenclature T
thermal load
-
L
e
embedded length
-
r
f
fibre radius
- c
curvature radius of the meniscus (fibre entry)
-
r
c
radial dimension of the finite element mesh
-
E
m,E
h
matrix and holder moduli
-
E
A,E
T
fibre axial and transverse moduli
- m, h
matrix and holder thermal expansion coefficients
- A, T
fibre axial and transverse thermal expansion coefficients
- rr, , zz, rz
non-zero components of the residual stress field
-
rr
i
,
im
,
zz
im
,
rz
i
stresses at the interface in the matrix (r=r
f
+ )
-
rr
i
,
if
,
zz
if
,
rz
i
stresses at the interface in the fibre (r=r
f–)
- p1
maximum principal stress
-
zz
f
mean axial stress over the fibre section
-
rupt
m
matrix strength
-
u
r
,u
z
non-zero components of the displacement field |
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Keywords: | |
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