MMJ1133 – FATIGUE AND FRACTURE MECHANICS B – MATERIALS ASPECTS OF FATIGUE AND FRACTURE MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 1
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
B – MATERIALS ASPECTS OF FATIGUE AND FRACTURE
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 1
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Course Content:
A - INTRODUCTION
Mechanical failure modes; Review of load and stress analysis –
equilibrium equations, complex stresses, stress transformation,
Mohr’s circle, stress-strain relations, stress concentration; Fatigue
design methods; Design strategies; Design criteria.
B – MATERIALS ASPECTS OF FATIGUE AND FRACTURE
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 2
Static fracture process; Fatigue fracture surfaces; Macroscopic features; Fracture mechanisms; Microscopic features.
C – FATIGUE: STRESS-LIFE APPROACH
Fatigue loading; Fatigue testing; S-N curve; Fatigue limit; Mean
stress effects; Factors affecting S-N behavior – microstructure, size
effect, surface finish, frequency.
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Tensile Fracture
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 3
Cleavage (brittle) fracture Ductile fracture
Source: Vander Voort, G.F., Metals Engineering Quarterly, Vol. 16, No. 3,
1976, pp. 33.
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Imperfections in SolidScrew dislocation
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 4
Fig. 4.3, Callister 7ed.
Burgers
vector b
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
neckingvoid nucleation
void growth and linkage
shearing at surface
fracture
σ
Fracture Process in Ductile Materials
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 5
Particles serve
as void
nucleation
sites.
50 µm
P. Thornton, J. Mater. Sci., Vol. 6, 1971, pp. 347-56.)
Slip by plastic
deformation
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Ductile Fracture Surface
- Dimples in
• Transgranular fracture
(across grains)
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 6
- Dimples in
ductile fracture.
(Ref: Callister, W.D., Materials Science and Engineering – An Introduction, John Wiley 2002),
Mag 3500X
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
• Intergranular fracture
(between grains)
Brittle Fracture Surfaces
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 7
304 S. Steel (metal)Reprinted w/permission from "Metals
Handbook", 9th ed, Fig. 633, p. 650.
Copyright 1985, ASM International, Materials
Park, OH. (Micrograph by J.R. Keiser and
A.R. Olsen, Oak Ridge National Lab.)
4 mm
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Ductile-to-Brittle Tanstition (DBT) temperature, TDBT
Energy absorbed BCC
FCC
ductile Transition Temperature
(ASTM specification)
The temperature at which
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM
TDBT
Energy absorbed
Temperature
FCC
Brittle
specimens show a fracture
of 50 pct. shear and 50 pct.
cleavage.
Nil-ductility temperature (NDT)
The ref. point in the transition
range giving the limiting condition
of temperature-stress combination
under which catastrophic fracture
can occur.
8
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Ductile-to-Brittle Tansition (DBT) temperature, TDBT
BCC metals (e.g., iron at T < 914°C)
Impact Energy
polymers
FCC metals (e.g., Cu, Ni)
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM
Impact Energy
Temperature
High strength materials (σσσσy > E/150)
More DuctileBrittle
Ductile-to-brittle transition temperature
(Charpy)
9
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Impact properties of some materials
MATERIALS Impact energy
J (ft-lb)
AISI 1040 48.8
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM
AISI 1040
steel
48.8
(36)
Gray cast iron
(class 20)
20
(15)
Ti-6Al-4V 22
(16)
10
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Definition of fatigue by ASTM [1]
The process of progressive localized permanent structural
change occurring in a material subjected to conditions that
produce fluctuating stresses and strains at some point or
points and that may culminate in cracks or complete fracture
after sufficient number of fluctuations
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 11
after sufficient number of fluctuations
[1] “Standard Terminology Relating to fatigue and Fracture,” testing ASTM
Designation E1823, Vol. 03.01, ASTM, PA, 2000, pp. 1034
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Fatigue fracture features
Square thread
column
Shaft under
torsion
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM
Ref. Stephens et al., 2000
column
Bicycle seat
post bolt
Typical features:
• Distinct crack nucleation sites
• Beach marks indicative of crack growth
• Distinct final fracture region
12
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Transition mode of fatigue crack growth in sheet metal
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM
Ref. Stephens et al., 2000
Single shear Double shear
13
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Beach marks and fatigue striations
Observation:
• Involves crack nucleation and
growth.
• Size of crack at fracture vary from
1 to almost 100 % depending on
applied stress and fracture
toughness.
• fatigue crack region is signified
by beach marks, smoothness and
corrosion.
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 14
corrosion.
• fatigue crack usually nucleates at
surface.
• Microscopic fatigue cracks often
nucleate and grow on plane of
maximum shear
• Macroscopic fatigue cracks often
grow in plane of maximum tensile
stress
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Slip due to external loads
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 15
PSB – persistent slip bands
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Fracture Surface due to Fatigue
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 16
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Microscopic edge view of fatigue crack growth process
Loading
direction
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 17
Shear
modeTensile
mode
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Microscopic fatigue crack growth
Cleavage involves
fracture along specific
crystallographic planes
and is transcrystalline
in nature.
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 18
Striation and microvoid
coalescence in ductile material
Susceptible in BCC and
HCP crystalline
structure
MMJ1133 – FATIGUE AND FRACTURE MECHANICS
Fatigue crack growth process
MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 19
Ref. Stephens et al., 2000