I. Elastic deformation 2. plastic deformation (elongation of specimen) 3. Failure
•
often linear .
i)
region of uniform ii ) non -
uniform region •
deformation process ends
Elongation produced deformation all parts where localised when specimen fractures
• -
under load is directly of gauge length deformation occurs .
in the necked
region
proportional to that load elongate to the same called
necking
( Hooke 's law) amount
Brittle or ductile ?
Ductile =
substantial plastic deformation before fracture
Brittle fracture in the elastic after small amount of plastic deformation
region only
:
occurs or a .
load
elongation curves converted to stress-strain curves
using the standard specimen dimensions
-
are .
For a
specimen with ; Nominal /engineering stress @n ) =
load @
any point during test
'
initial cross sectional area =
to divided
by original cross-sectional area
•
initial to on =
F-
gauge length
=
F
Ao
elongated under a load
•
,
to True stress (a) load divided by instantaneous cross-sectional
gauge length
•
L =
area
,
with Ot F-
corresponding cross-sectional
•
=
A
area A
,
Nominal /engineering strain ten) =
ratio of the change in
length to
the
original length
En =
l -
lo or I -
l
lo lo
In elastic where
region
stress ✗ strain (i. e. Hooke 's law ) ,
True strain (Et) =
incremental instantaneous strain integrated over
elastic modulus (i.e Young 's
. modulus
,
the whole of the elongation
E) is defined as :
'
E = I
G-
=/ 1- o
=
in
En )
÷ Et =
In ( It En
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