Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials...

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1 Mechanical Behavior of Materials Applied force (Stress) Deformation (Strain) Applied force (Stress) Deformation (Strain) How to obtain the - relation? - relation: one kind of the mechanical properties of materilas 7. Mechanical Behavior of Materials 1 by experiments Mechanical Behavior of Materials Comparableness of test results: need standards to require specimen size, test methods, etc. ASTM (American Society for Testing and Materials) Standards are the most popular one in the world 7. Mechanical Behavior of Materials 2 popular one in the world

Transcript of Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials...

Page 1: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Mechanical Behavior of Materials

Applied force (Stress) ↔ Deformation (Strain)Applied force (Stress) ↔ Deformation (Strain)

How to obtain the - relation?

- relation:one kind of the mechanical properties of materilas

7. Mechanical Behavior of Materials 1

— by experiments

Mechanical Behavior of Materials

Comparableness of test results:

need standards to require specimen size, test methods, etc.

ASTM (American Society for Testing and Materials) Standards are the most popular one in the world

7. Mechanical Behavior of Materials 2

popular one in the world

Page 2: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

1. Scope2. Referenced Documents3. Terminology4 Significance and Use

7. Mechanical Behavior of Materials 3

4. Significance and Use5. Apparatus6. Test Specimens7. Procedures8. Report9. Precision and Bias10. Keywords

Tensile Test

Standard 0.500-in. Round Tension Test Specimen with 2 in. Gage Length and E l f S ll Si S iExamples of Small-Size Specimens Proportional to the Standard Specimen

7. Mechanical Behavior of Materials 4

Page 3: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

Test Specimens:

7. Mechanical Behavior of Materials 5

Tensile Test

Apparatus :

7. Mechanical Behavior of Materials 6

Page 4: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

Apparatus :

7. Mechanical Behavior of Materials 7

Tensile Test

7. Mechanical Behavior of Materials 8

Page 5: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

Strain or displacement measurement:

7. Mechanical Behavior of Materials 9

Tensile Test

Definition of stress and strain:P Stress

0A

L0L

A

P Stress

Stress) (True

Stress) ng(Engineeri 0

A

P

SA

P

Strain

7. Mechanical Behavior of Materials 10

P Strain) (True

Strain) ng(Engineeri 0

0

0

dL

dL

eL

LL

L

L

Page 6: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

Stress-strain Curve of Pure Copper (99.99%):

7. Mechanical Behavior of Materials 11

Tensile Test

Stress-strain Curve of Pure Aluminum:

7. Mechanical Behavior of Materials 12

Page 7: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

Stress-strain Curve of 1070 Aluminum

7. Mechanical Behavior of Materials 13

Tensile Test

Proportional Limit: PL

Elastic Limit: EL

Offset Yield Strength: YS

PL

EL

7. Mechanical Behavior of Materials 14

Page 8: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Elastic Deformation

2. Small load

b d

1. Initial 3. Unload

F

bonds stretch

return to initial

F Linear

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Elastic means reversible!

F F

Linear-elastic

Non-Linear-elastic

Plastic Deformation (Metals)

1. Initial 2. Small load 3. Unload

planesbonds

planes

still

sheared

elastic + plastic

stretch

& planes

shear

plastic

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Plastic means permanent!

F

linear elastic

linear elastic

plastic

F

Page 9: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

UTS: Ultimate Tensile Stress u

7. Mechanical Behavior of Materials 17

Tensile Test

7. Mechanical Behavior of Materials 18

Page 10: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

7. Mechanical Behavior of Materials 19

Tensile Test

Ductile Materials:LL

%100area of reductionPercent

%100elongationPercent

0

0

0

0

A

AA

L

LL

f

f

7. Mechanical Behavior of Materials 20

Page 11: Mechanical Behavior of Materials - I-Shou · PDF file1 Mechanical Behavior of Materials Applied force (Applied force (Stress) ↔Deformation(Deformation (Strain) How to obtain the

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Tensile Test

Brittle Materials:

7. Mechanical Behavior of Materials 21

Brittle Materials

7. Mechanical Behavior of Materials 22

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Brittle Materials

7. Mechanical Behavior of Materials 23

Temperature Effects

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Hooke’s Law

The stress-strain diagrams of most engineering materials exhibit a linear relationship within elastic rangeg

Hooke’s law: in memory of Robert Hooke in 1676 using spring to observe this phenomenon

E: modulus of elasticity or Young’s modulus (named after Thomas Young in 1807 published this result)

E: same unit as stress ksi GPa

E

7. Mechanical Behavior of Materials 25

E: same unit as stress, ksi, GPa

GPa 200ksi 10290.0012

ksi 35 3 steelE

Young’s Modula of Different Materials

GPa14~7.0

GPa70

GPa200

plastic

aluminum

steel

E

E

E

Hardness decreases assoftness of materials

VHE

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Poisson’s Ratio

n)compressio:tension;:(

:strain Axial

La

a

l

n)compressio: tension;:(

:strain Laterial

n)compressio:tension;:(

rl

P i ’ ti F h i ti t

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Poisson’s ratio: French scientistS. D. Poisson realized this constantwithin elastic range in the early 1800s:0.25~0.35 for most of engineeringmaterials

Summary

Mechanical properties of materials from tensile test:tensile test:

E: Young’s modulusY: Yield stress: Poisson’s ratio

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: Poisson s ratioUTS: ultimate tensile strength

f : elongation to failure