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MMJ1133 – FATIGUE AND FRACTURE MECHANICS B – MATERIALS ASPECTS OF FATIGUE AND FRACTURE MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 1
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Page 1: B –MATERIALS ASPECTS OF FATIGUE AND …taminmn/MMJ1133_Lecture slides-pdf...MMJ1133 –FATIGUE AND FRACTURE MECHANICS Definition of fatigue by ASTM [1] The process of progressive

MMJ1133 – FATIGUE AND FRACTURE MECHANICS

B – MATERIALS ASPECTS OF FATIGUE AND FRACTURE

MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 1

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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.

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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.

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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MMJ1133 – FATIGUE AND FRACTURE MECHANICS

Fracture Surface due to Fatigue

MATERIALS ASPECTS OF FATIGUE AND FRACTURE M.N.Tamin, CSMLab, UTM 16

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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

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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

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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