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HAL Id: jpa-00245864

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Submitted on 1 Jan 1988

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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�

(2)

708

PLASTIC

BEHAVIOR OF PRESTRAINED METALS: MICROSTRUCTURAL ASPECTS.

J.L. RAPHANEL and J.-H. SCHMITT

Laboratoire Génie Physique

et

Mécanique

des

Matériaux,

Unité Associée

au CNRS

793, GRECO

CNRS "Grandes

Déformations

et

Endommagement"

ENSPG -B.P.46- F 38402 Saint Martin

d’Hères

FRANCE

Revue Phys. Appl. 23 (1988) 708 AVRIL 1988,

The

plastic behavior of prestrained materials

is

often

studied

from a

purely mechanical

and macro-

scopical point of

view. These

approaches include phenomenological

accounts of

hardening

and of

initial

as well as

induced anisotropy. They lead

to the

construction of macroscopic yield

surfaces and to the modifications of these surfaces with strain histories.

From a

physical viewpoint,

a

plastic deformation

induces

microstructural evolutions.

For a

poly- crystalline single phase metal which

deforms

by intragranular glide, several previous investigations

have shown that the two most

influent structural

features are:

- the

crystallographic texture,

both the initial texture and the one

developed during plastic

defor-

mation,

- the

intragranular substructures,

such as arran-

gements

of dislocations in

walls delimiting dislocation

free zones inside the

grain.

The aim of this

approach

which is based on a

metallurgical analysis

is

twofold.

On the one

hand,

one seeks to determine the

respective roles played by

the

structural

factors in several situations of

change

of

deformation path;

on the other

hand,

one

shall

show the limits of the standard

assumption

of

homogeneous

behavior of a

prestrained metal.

The

prestrain

has favored within the

grains

the

activity

of some

slip systems

and thus

built specific dislocation

substructures

/1/.

A way to account for the

macroscopical

effect of these

structures on the

subsequent yield

stress is to

introduce

latent

hardening

and

Bauschinger

effect

for each

crystallite.

The

simulation

of the response of the

polycrystal

is then carried out

by using

a

Taylor

model

/2/.

One may in this way determine sections of the

polycrystal yield

locus

with an account of

anisotropic intragranular

structures and one is also able to

predict

the

subsequent yield

stress of a

prestrained

material

subjected

to new deformation

paths.

These

last results

are

compared with experimental

data

obtained

for

low

carbon

steel prestrained

in

uniaxial

tension

and

subjected

to

uniaxial

tensions

along

other axes

/3/ (figure 1)

or

simple

shears

about

various

orien- tations /4/ (figure 2).

The

model

is in

good agreement

with the variation of the

subsequent yield

stress for the

various paths.

This

agreement

was

not

achieved

with a

model taking

account of textures

alone.

For

instance,

one is able to

account,

at least

partially,

for the

development of

a

Bauschinger

effect that appears in

simple

shear

along

some

particular orientations.

When one

wishes

to

describe

the behavior of

prestrained

material

beyond

the

subsequent yield stress,

one has to be certain that the

plastic deformation

is uniform

along

the whole

sample.

It

is

indeed

observed that for the

larger prestrains,

or even at moderate

prestrain

for some

changes

of

deformation paths,

the

plastic

deformation takes

place

in a small

part

of the

specimen only /5/.

A

macroscopic localization

appears then very

rapidly,

in the form of bands. At a

microscopic level,

one may observe in some

grains

microbands which

correspond

to uns câble

evolutions

of substructures

/6/, although

no

quantitative

correlation has been made so

far,

between the

microscopic

and

macroscopic instabilities.

This last

point

shows

clearly

that

experimental stress-strain

curves of

prestrained

materials are in many cases an

average representation

of the behavior of a

material

that may be

deforming

in a very

heterogeneous

way. A

comprehensive description

of

the

macroscopic behavior

of

prestrained materials should

include an

understanding

and an account of the

evolutions

of

intragranular

structures.

Figure

1:

Sequences

of uniaxial

tensions

Ratios of

subsequent yield

stresses at a and 0

degree

with a,

angle

between the tensile axes;

simulation

and

experimental points (3)

after a

prestrain E1=0.15.

Figure

2:

Sequences uniaxial tension-simple

shear

Ratios

of subsequent yield

shear stresses at a and 45

degrees with

a,

angle

between the

tensile axis and

a

direction of positive shearing; simulation and experimental points (0) after

a

prestrain E1=0.15.

References

/1/ FERNANDES,

J.V. and

SCHMITT, J.-H.,

Phil.

Mag.

A, 48, 841,

1983.

/2/

VAN

HOUTTE,

P. and

AERNOUDT, E.,

Z.

Metalkde, 66, 202,

1974.

/3/ RAPHANEL, J.L., SCHMITT,

J.-H. and BAUDELET B.

Int. J. of

Plasticity, 2, 371,

1986.

/4/ RAPHANEL, J.L., RAUCH, E., SHEN,

E.L. and

SCHMITT, J.-H., Scripta Metall.,

to be

published,

1987.

/5/ KORBEL,

A. and

MARTIN, P.,

Acta

Metall.,

to be

published,

1987.

/6/ SCHMITT,

J.-H. and

BAUDELET, B.,

Proc. ICSMA

7, Montreal, Pergamon Press, 1, 213,

1985.

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/rphysap:01988002304070800

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