CHAPTER5 PROPERTIES OF MATERIALS – PART 1
30 July 2007
1
OUTLINE 3.1 Mechanical Properties 3.1.1 Definition 3.1.2 Factors Affecting Mechanical Properties 3.1.3 Kinds of Mechanical Properties 3.1.4 Stress and Strain 3.1.5 Elastic Deformation 3.1.6 Plastic Deformation & Plasticity 3.1.7 Strength
30 July 2007
3.1.8 Brittleness, Toughness, Resilience & Ductility 3.1.9 Fatigue 3.1.10 Creep and Shrinkage Design and Safety Factors
3.2 3.3 3.4 3.5 3.6
Electrical Properties Optical Properties Magnetic Properties Thermal Properties Corrosion Properties
2
1
3.1 MECHANICAL PROPERTIES 3.1.1 DEFINITION Properties or deformation observed when a material is subjected
e.g. Mechanical properties of airplane wing made of aluminum alloy
to an applied external force (F = ma) to a mechanical force of stretching, compressing, bending, striking are called the mechanical properties.
Mechanical properties of a bridge made of steel.
30 July 2007
3
3.1.2 FACTORS AFFECTING THE MECHANICAL PROPERTIES
30 July 2007
Nature of the applied load, e.g. Tensile, compressive, shear Magnitude of the applied force The duration (application time): may be less than a second, may extend over a period of many years.
4
2
3.1.3 KINDS OF MECHANICAL PROPERTIES the ability of a material to deform under load and return to its original size and shape when the
Elasticity
load is removed. the slope of the linear segment of stress – strain curve is Elastic Modulus or Young’s Modulus. The value of the Modulus is the measure of STIFFNESS, material’s resistance to elastic
Stiffness
deformation (MPa) Plasticity
the property of a material to deform permanently under the application of a load.
Yield Strength
the stress level at which the plastic deformation begins. (MPa)
Tensile Strength
Compressive Strength Fracture Strength
the stress at the maximum on the engineering stress-strain curve.the ability of a material to withstand tensile loads without rupture when the material is in tension (MPa) the ability of a material to withstand compressive (squeezing) loads without being crushed when the material is in compression. (MPa) corresponds to the stress at fracture (MPa)
30 July 2007
5
3.1.3 KINDS OF MECHANICAL PROPERTIES the ability of a material to withstand shatter. A material which easily shatters is brittle. The ability of a Toughness
material to absorb energy (J/m3) The capacity of material to absorb energy when it is deformed elastically and then, upon unloading, to
Resilience
Ductility
have this energy recovered (J/m3) the ability of a material to stretch under the application of tensile load and retain the deformed shape on the removal of the load. Measure of ability to deform plastically without fracture (no units or m/m)
Brittleness brittle materials approximately have a fracture strain of less than about 5%.
Malleability Fatigue Strength Hardness
30 July 2007
the property of a material to deform permanently under the application of a compressive load. A material which is forged to its final shape is required to be malleable the property of a material to withstand continuously varying and alternating loads the property of a material to withstand indentation and surface abrasion by another hard object. It is an indication of the wear resistance of a material.
6
3
3.1.4 STRESS & STRAIN Types of force(load) applied on the object
Tension
Compression
Shear
Torsion
Reference: Callister, Material Science and Eng., 5th Ed., p114
30 July 2007
7
3.1.4.1 ENGINEERING STRESS (σ): (Gerilme)
Stress is defined as force F applied over the original crosssectional area Ao. For a tensile test the stress is given by,
Stress,
Where,
F = applied tensile force (N or lbs) A0= original cross-sectional area of the test specimen (m2 or in2)
Units for Engineering Stress:
30 July 2007
(MPa or psi)
US customary: pounds per square inch (psi) SI: N m-2 = Pascal (Pa) 1psi = 6.89 x 10 3 Pa
8
4
3.1.4.1 ENGINEERING STRESS (σ): (Gerilme)
Example: A 1.25 cm diameter bar is subjected to a load of 2500 kg. Calculate the engineering stress on the bar in megapascal (MPa)
Sol’n: F= ma = 2500 x 9.81 = 24 500 N Ao = π r 2 = π ( 0.0125 2 / 4 ) σ = Ft / Ao = 2 x 10 8 Pa = 200 MPa
30 July 2007
9
3.1.4.2 ENGINEERING STRAIN: (Şekil Değiştirme)
30 July 2007
When an unaxial tensile force is applied to a rod, it causes the rod to be elongated in the direction of the force. Engineering strain is the ratio of the change in the length of the sample in the direction of the force divided by the original length. ε = ( l – lo ) / lo = ∆ l / lo Where, ∆l = l - lo is the change in length l0 = original length of the specimen In engineering practice it is common to convert engineering strain into percent strain or percent elongation % engineering strain = engineering strain x 100 % = % elongation Unit of engineering strain: Inch / inch or m/m which is dimensionless
10
5
3.1.4.2 ENGINEERING STRAIN: (Şekil Değiştirme)
σ
F
=
ε
=
A
δ L
= =
Engineering stress Engineering (normal) strain
σ ε
= =
2F 2 A
=
δ
L
F A
σ ε
30 July 2007
= =
F A 2δ 2L
=
δ L
11
3.1.4.3 STRESS – STRAIN TESTING
Tension tests: they are common, since they are easier to perform for most structural materials, steel etc. Compression tests: are used, when a material’s under large and permanent strains is desired, or when the material is brittle in tension, concrete Shear and torsion tests: Torsion test are performed on cylindrical solid shafts or tubes, machine axles and drive shafts
Typical tensile Specimen 30 July 2007
12
6
3.1.4.3 STRESS – STRAIN TESTING Typical tensile test machine
Schematic representation of the apparatus used to conduct tensile stress - strain tests
Hydraulic Wedge Grips
Specimen Extensometer
30 July 2007
13
3.1.4.4 YOUNG'S MODULUS (E)
30 July 2007
During Elastic Deformation: Stress / Strain = a constant
σ / ε= E =Modulus of elasticity (Young’s Modulus) (Elastisite Modülü) (MPa)
Modulus of Elasticity gives an idea about material’s resistance to elastic deformation. 14
7
STIFFNESS:Material’s resistance to Elastic Deformation. Atomic Origin of Stiffness Net Interatomic Force
dF E∝ dr r o
Strongly Bonded
Weakly Bonded
Interatomic Distance
The value of the Modulus of Elasticity is the measure of STIFFNESS 30 July 2007
15
3.1.4.4 YOUNG'S MODULUS (E) Metal Alloy
Modulus of Elasticity, E ( GPa)
Aluminum
69
Brass
97
Copper
110
Magnesium
45
Nickel
207
Steel
207
Titanium
107
Tungsten
407
30 July 2007
16
8
3.1.4.4 YOUNG'S MODULUS (E)
Engineering Stress, σ = F/Ao
Total Elongation
E
0.002
Engineering Strain, ε = ∆L/Lo)
30 July 2007
17
3.1.5 ELASTIC DEFORMATION
Elasticity, or elastic deformation is defined as ability of returning to an initial state or form after deformation.
In most engineering materials, however, there will also exist a timedependent elastic strain component. That is, elastic deformation will continue after the stress application, and upon load release some finite time is required for complete recovery. This time-dependent elastic behavior is known as ANELASTICITY, and it is due to timedependent microscopic and atomistic processes that are attendant to the deformation.
For metals the inelastic component is normally small and is often neglected. However, for some polymeric materials its magnitude is significant; in this case it is termed VISCOELASTIC BEHAVĐOR. P
A simplified view of a metal bar's structure
30 July 2007
The same metal bar, this time with an applied load.
After the load is released, the bar returns to its original shape. This is called elastic deformation. 18
9
3.1.5 ELASTIC DEFORMATION
EXAMPLE: A piece of copper originally 305 mm (12 in.) long is pulled in tension with a stress of 276 MPa (40,000 psi). If the deformation is entirely elastic, what will be the resultant elongation?
Sol’n: σ = Eε
Since the deformation is elastic, strain is linearly dependent on stress the magnitude of E for copper is 110 GPa ε= (l – lo ) / lo = ∆ l / lo ∆l = (276 MPa) (305 mm)/ 110 x 103 MPa = 0.77 mm
30 July 2007
19
3.1.6 PLASTIC DEFORMATION & PLASTICITY
30 July 2007
For most metallic materials, elastic deformation exists only to strains of about 0.005. As the material is deformed beyond this point, the stress is not proportional to strain. And permanent, nonrecoverable deformations, PLASTIC DEFORMATION, occurs.
20
10
3.1.6 PLASTIC DEFORMATION & PLASTICITY
30 July 2007
21
3.1.7 STRENGTH 3.1.7.1 YIELD STRENGTH (
30 July 2007
Y ) ( MPa or psi )
Stress at which noticeable plastic deformation has occurred. The magnitude of the yield strength for a metal is a measure of its resistance to plastic deformation. A straight line is drawn parallel to the elastic deformation part of the curve from the engineering strain value of 0.002. The stress corresponding to the intersection point of these two lines is YIELD STRENGTH. Yield strengths may range from 35 MPa for a low strength Al to over 1400 MPa for high strength steels. Comparison of Yield Strength : σy (ceramics) >> σ y (metals) >> σ y (polymers) >> σ y (composites)
22
11
3.1.7.2 TENSĐLE STRENGTH (TS) ( MPa or psi )
The stress at the maximum on the engineering stressstrain curve. This corresponds to the maximum stress that can be resisted by a structure in tension. It is the maximum stress without fracture.
Examples: metals: occurs when noticeable “necking” starts ceramics: occurs when crack propagation starts polymers: occurs when polymer backbones are all aligned and about to break.
Tensile Strengths may vary from 50 MPa to 3000 MPa
30 July 2007
23
3.1.7.3 COMPRESSIVE (CRUSHING) STRENGTH
It is important in ceramics used in structures such as buildings or refractory bricks. The compressive strength of a ceramic is usually much greater than their tensile strength.
Tensile, compressive and bending testing for materials
30 July 2007
24
12
3.1.7.3 COMPRESSIVE (CRUSHING) STRENGTH Comparison of Stress Strain Curves for Metals, Ceramics, Polymers and Elastomers
30 July 2007
25
3.1.7.3 COMPRESSIVE (CRUSHING) STRENGTH
The Relationship between Elastic Modulus and Melting Temperature 30 July 2007
26
13
3.1.8 BRITTLENESS, TOUGHNESS, RESILIENCE & DUCTILITY 3.1.8.1 BRITTLENESS
A material that experiences very little or no plastic deformation upon fracture is termed brittle.
Ductile vs Brittle Materials
Engineering Stress
• Only Ductile materials will exhibit necking. • Ductile if EL%>8% (approximately) • Brittle if EL% < 5% (approximately)
30 July 2007
AX
X
C
B
X
D
X
Brittle
Ductile
A&B
C&D
Engineering Strain
27
3.1.8.1 BRITTLENESS
30 July 2007
Brittle Fracture Surfaces
28
14
3.1.8.2 TOUGHNESS
A measure of the ability of a material to absorb energy without fracture. (J/m3 or N. m/m3= MPa) It is a measure of the ability of a material to absorb energy up to fracture. Energy needed to break a unit volume of material. Area under stress-strain curve For a material to be tough, it must display both strength and ductility. Often ductile materials are tougher than brittle ones. Examples:
smaller toughness (ceramics), larger toughness(metals, PMCs) smaller toughness unreinforced ( polymers)
30 July 2007
29
3.1.8.2 TOUGHNESS
Engineering Stress, S=P/Ao
Toughness, Ut Su
Sy
X ef
Ut = ∫ S de o
(S y + Su ) EL% ≈ 100 2 Engineering Strain, e = ∆L/Lo)
30 July 2007
30
15
3.1.8.2 TOUGHNESS
Toughness is really a measure of the energy a sample can absorb before it breaks.
30 July 2007
31
3.1.8.3 RESILIENCE
A measure of the ability of a material to absorb energy without plastic or permanent deformation. (J/m3 or N. m/m3= MPa)
Engineering Stress, S=P/Ao
Resilience, Ur Su
Sy ey
U r = ∫ S de o
≈
E
= ey
30 July 2007
X
Sy e y 2 Sy 2 2E
Engineering Strain, e = ∆L/Lo)
32
16
3.1.8.4 DUCTILITY (% EL)
Ductility is another important mechanical property. It is a measure of the degree of plastic deformation that has been sustained at fracture.
30 July 2007
33
3.1.8.4 DUCTILITY (% EL) Stress-Strain diagrams for typical (a) brittle and (b) ductile materials
Stress- Strain Curves for Brittle and Ductile Materials
30 July 2007
34
17
3.1.8.4 DUCTILITY (% EL) Ductile Materials
Brittle Materials 30 July 2007
35
3.1.8.4 DUCTILITY (% EL)
30 July 2007
36
18
STRESS – STRAIN CURVES CURVE EXAMPLE A. Stiff but Weak: CERAMIC B. Stiff and Strong: CERAMIC C. Stiff and Strong: METAL C'. Moderately Stiff and Strong: METAL D. Flexible and Moderately Strong: POLYMER E. Flexible and Weak: POLYMER
Stress- Strain Curves for Different Materials
30 July 2007
37
3.1.9 FATIGUE
30 July 2007
If placed under too large of a stress, metals will mechanically fail, or fracture. This can also result over time from many small stresses. The most common reason (about 80%) for metal failure is fatigue. The most common reason (about 80%) for metal failure is fatigue.
38
19
FATIGUE MECHANISM
30 July 2007
39
FATIGUE MECHANISM
This front brake assembly broke off under braking and severely injured the cyclist. Poor maintenance had allowed the brake bolt to loosen and allow the assembly to "chatter" when braking imposing cyclic loads instead of steady stress on the fastening 30 July 2007 40 bolt.
20
MECHANICAL PROPERTIES Typical Mechanical Properties Metals in annealed (soft) condition M aterial 1040 Steel 1080 Steel 2024 Al Alloy 316 Stainless Steel 70/30 Brass 6-4 Ti Alloy AZ80 Mg Alloy
30 July 2007
Yield Stress (M Pa) 350 380 100 210 75 942 285
Ultim ate Stress (M Pa) 520 615 200 550 300 1000 340
Ductility EL% 30 25 18 60 70 14 11
Elastic M odulus (MPa) 207000 207000 72000 195000 110000 107000 45000
Poisson’s Ratio 0.30 0.30 0.33 0.30 0.35 0.36 0.29
41
21
