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Plastic behavior of prestrained metals: microstructural aspects.
J.L. Raphanel, J.-H. Schmitt
To cite this version:
J.L. Raphanel, J.-H. Schmitt. Plastic behavior of prestrained metals: microstructural aspects..
Revue de Physique Appliquée, Société française de physique / EDP, 1988, 23 (4), pp.708-708.
�10.1051/rphysap:01988002304070800�. �jpa-00245864�
708
PLASTIC
BEHAVIOR OF PRESTRAINED METALS: MICROSTRUCTURAL ASPECTS.
J.L. RAPHANEL and J.-H. SCHMITT
Laboratoire Génie Physique
etMécanique
desMatériaux,
Unité Associée
au CNRS793, GRECO
CNRS "GrandesDéformations
etEndommagement"
ENSPG -B.P.46- F 38402 Saint Martin
d’Hères
FRANCERevue Phys. Appl. 23 (1988) 708 AVRIL 1988,
The
plastic behavior of prestrained materials
isoften
studied
from apurely mechanical
and macro-scopical point of
view. Theseapproaches include phenomenological
accounts ofhardening
and ofinitial
as well asinduced anisotropy. They lead
to theconstruction of macroscopic yield
surfaces and to the modifications of these surfaces with strain histories.From a
physical viewpoint,
aplastic deformation
inducesmicrostructural evolutions.
For apoly- crystalline single phase metal which
deformsby intragranular glide, several previous investigations
have shown that the two most
influent structural
features are:- the
crystallographic texture,
both the initial texture and the onedeveloped during plastic
defor-mation,
- the
intragranular substructures,
such as arran-gements
of dislocations inwalls delimiting dislocation
free zones inside thegrain.
The aim of this
approach
which is based on ametallurgical analysis
istwofold.
On the onehand,
one seeks to determine the
respective roles played by
thestructural
factors in several situations ofchange
ofdeformation path;
on the otherhand,
oneshall
show the limits of the standardassumption
ofhomogeneous
behavior of aprestrained metal.
The
prestrain
has favored within thegrains
theactivity
of someslip systems
and thusbuilt specific dislocation
substructures/1/.
A way to account for themacroscopical
effect of thesestructures on the
subsequent yield
stress is tointroduce
latenthardening
andBauschinger
effectfor each
crystallite.
Thesimulation
of the response of thepolycrystal
is then carried outby using
aTaylor
model/2/.
One may in this way determine sections of thepolycrystal yield
locuswith an account of
anisotropic intragranular
structures and one is also able to
predict
thesubsequent yield
stress of aprestrained
materialsubjected
to new deformationpaths.
Theselast results
arecompared with experimental
dataobtained
forlow
carbonsteel prestrained
inuniaxial
tensionand
subjected
touniaxial
tensionsalong
other axes/3/ (figure 1)
orsimple
shearsabout
variousorien- tations /4/ (figure 2).
Themodel
is ingood agreement
with the variation of thesubsequent yield
stress for the
various paths.
Thisagreement
wasnot
achieved
with amodel taking
account of texturesalone.
Forinstance,
one is able toaccount,
at leastpartially,
for thedevelopment of
aBauschinger
effect that appears insimple
shearalong
someparticular orientations.
When one
wishes
todescribe
the behavior ofprestrained
materialbeyond
thesubsequent yield stress,
one has to be certain that theplastic deformation
is uniformalong
the wholesample.
Itis
indeed
observed that for thelarger prestrains,
or even at moderate
prestrain
for somechanges
ofdeformation paths,
theplastic
deformation takesplace
in a smallpart
of thespecimen only /5/.
Amacroscopic localization
appears then veryrapidly,
in the form of bands. At a
microscopic level,
one may observe in somegrains
microbands whichcorrespond
to uns câbleevolutions
of substructures/6/, although
noquantitative
correlation has been made sofar,
between themicroscopic
andmacroscopic instabilities.
This last
point
showsclearly
thatexperimental stress-strain
curves ofprestrained
materials are in many cases anaverage representation
of the behavior of amaterial
that may bedeforming
in a veryheterogeneous
way. Acomprehensive description
ofthe
macroscopic behavior
ofprestrained materials should
include anunderstanding
and an account of theevolutions
ofintragranular
structures.Figure
1:Sequences
of uniaxialtensions
Ratios of
subsequent yield
stresses at a and 0degree
with a,angle
between the tensile axes;simulation
andexperimental points (3)
after aprestrain E1=0.15.
Figure
2:Sequences uniaxial tension-simple
shearRatios
of subsequent yield
shear stresses at a and 45degrees with
a,angle
between thetensile axis and
adirection of positive shearing; simulation and experimental points (0) after
aprestrain E1=0.15.
References
/1/ FERNANDES,
J.V. andSCHMITT, J.-H.,
Phil.Mag.
A, 48, 841,
1983./2/
VANHOUTTE,
P. andAERNOUDT, E.,
Z.Metalkde, 66, 202,
1974./3/ RAPHANEL, J.L., SCHMITT,
J.-H. and BAUDELET B.Int. J. of