3 Mechanical and Physical Properties of Material

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    MECHANICAL PROPERTIES OF

    Tensile test

    Engineering stress Vs Strain True stress Vs Strain

    ompress ve es

    Shear test

    Hardness

    Effect of Temperature Vs Properties

    Viscosity

    Visco-elastic behavior

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    Stress-Strain Relationships

    Three types of static stresses to which materials canbe subjected:

    . -

    2. Compressive - tend to squeeze it3. Shear - tend to cause ad acent ortions

    of material to slide against each other

    Stress-strain curve - basic relationship that

    describes mechanical properties for all

    three types

    Tensile test:

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    T ical ro ress of a tensile test: 1 be innin of test no load 2 uniform elon ation

    and reduction of cross-sectional area; (3) continued elongation, maximum load

    reached; (4) necking begins, load begins to decrease; and (5) fracture. If pieces are

    put back together as in (6), final length can be measured

    oe

    A

    F=Engineering Stress

    Engineering Strain o

    o

    L

    LL

    e

    =

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    two distinct forms of

    behavior:

    1. Elastic region prior

    to yielding of the

    material

    2. Plastic region after

    yielding of the

    -

    mater a

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    Stress/strain curve

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    Elastic Region in Stress-Strain Curve Relationship between stress and strain is linear Material returns to its original length when stress is

    removed Hooke's Law: =E e

    whereE= modulus of elasticity Eis a measure of the inherent stiffness of a material

    As stress increases, a point in the linear relationship is finally

    reached when the material begins to yield ie point can e ent e y t e c ange n s ope at t e

    upper end of the linear region,beginning of plastic deformation

    = , ,

    elastic limit

    As load is increased be ond Y, elon ation roceeds

    at a much faster rate than before, causing the slope of

    the curve to change dramatically

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    Tensile Strength in Stress-Strain Curve Elongation is accompanied by a uniform reduction incross-sectional area, consistent with maintaining constant vol

    , ,

    engineering stress at this point is called the tensile strength TSorultimate tensile strength

    TS=oA

    max

    Ductility in Tensile TestAbility of a material to plastically strain without fracture

    of LLEL

    =

    owhereEL = elongation;Lf= specimen length at fracture; and

    Lo = original specimen length

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    True Stress and True strainTrue Stress : Stress value obtained by dividing the instantaneous

    A=

    area resisting the load

    True strain : Provides a more realistic assessment of "instantaneous

    elongation per unit length

    L LdL

    oL LL

    o

    n==

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    True Stress and True strain curve

    = e(1 + e)True strain and engineering strain relation

    =

    Strain Hardening in Stress-Strain Curve

    region until necking means metal is becoming stronger

    as strain increases called strain hardenin

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    True stress-strain curve in plastic region

    plotted on log-log scale

    nK=Flow Curve

    where K = strength coefficient; and n = strain hardening

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    Categories of Stress-Strain RelationshipPerfectly elastic Brittle materials: ceramics,

    many cast irons, and

    thermosetting polymers

    Elastic and Flow curve: K= Y, n = 0

    perfectly plastic

    heated to sufficiently high

    temperatures (above

    recrystrallisation point)

    Elastic and strain Flow curve: K> Y, n > 0

    Most ductile metals behave thisway when cold worked

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    Compression Test

    cylindrical specimen between two platens

    Engineering Comprehensive stresse

    A

    F=

    Engineering Comprehensive stress

    o

    o

    ohhhe =

    Shape of plastic region is different

    from tensile test because

    cross-section increases.

    Barreling effect - friction

    the true stress-strain relationships are nearly identical

    (Kand n) from tensile test data can be applied to

    compression operations

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    Shear Properties

    Shear (a) stress and (b) strain

    Application of stresses in opposite directions on either side of a thin element

    A

    F

    =Shear stress defined as

    Shear strain defined as =

    where = deflection element; and b = distance over which

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    Torsion test

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    Typical shear stress-strain curve - torsion test

    Since cross-sectional area of test

    specimen in torsion test does not

    change as in tensile and compression,

    engineering stress-strain curve for

    shear true stress-strain curve

    Shear Elastic Stress-Strain Relationship

    In the elastic region, the relationship is defined as G=

    From tensile strength of most material it is estimatedwhere G = shear mo ulus, or shear mo ulus of elasticity

    .

    Shear strength (S) : S

    0.7(TS)

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    (flexural bending test)

    2

    51 FLTRS

    .=

    outer fibers of specimen are exceeded

    Failure type: cleavage - common with ceramics and metals at low temperatures,

    in which se aration rather than sli occurs alon certain cr stallo ra hic lanes

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    Fatigue test

    Fatigue : cyclic stresses

    applied

    S/N curve :

    S : amplitude of stress

    : o o cyc e

    Endurance test : max stress

    sub ected without fati ue

    failure regardless of

    number of cycles

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    Creep test

    material held for long periods. This phenomenon is moredominated at high temperature..

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    HardnessResistance to permanent indentation Good hardness generally means material is resistant to scratching

    and wear

    Most tooling used in manufacturing must be hard for scratch andwear resistance

    Commonl used for assessin material ro erties because the arequick and convenient

    Most well-known hardness tests areBrinell andRockwell

    )(22

    ibbb DDDD

    HB

    =

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    Effect of Temperature on Properties

    Ability of a material to retain hardness at

    elevated temperatures

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    Effect of Tem erature on Pro erties

    Ability of a material to retain hardness at elevated temperatures

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    Recrystallization in Metals

    Most metals strain harden at room temperature according tothe flow curve (n > 0)

    On heatin to sufficientl hi h tem erature and deformed,strain hardening does not occur instead new strain-free grains

    form called recrystallization Instead, new grains are formed that are free of strain

    The metal behaves as a perfectly plastic material; that is, n= 0

    Recr stallization tem erature of a iven metal = aboutone-half its melting point (0.5 Tm) as measured on an absolutetemperature scale

    Forming metals at temperatures above recrystallization

    temperature is called hot working

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    Viscosity Properties Viscosity is the resistance to flow that is characteristic of a

    given fluid

    gradients are present in the fluid Reciprocal of viscosity isfluidity - the ease with which a

    fluid flows

    Many manufacturing processes are accomplished on materials

    Examples:

    Glass is formed in a heated and highly fluid state

    Polymers are almost always shaped as thick fluids

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    Viscosity can be defined using two parallel plates separated

    A fluid fills the space between the two plates.

    Shear stress is the frictional force exerted by the fluid per unit area

    AF=

    from the shear viscosity of the fluid

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    Shear Rate

    ear stress s re ate to s ear rate ve oc ty gra ent perpen cu ar to

    flow direction), which is defined as the change in velocity dv relative to

    d dv&

    where = shear rate, 1/s; dv = change in velocity, m/s; and dy = change in distance y, m

    dy

    &

    It is the fluid property that defines the relationship between F/A and

    dv/d that is

    dy

    dv

    A

    F= &=

    or

    &

    =

    or

    where = a constant of proportionality - coefficient of viscosity, Pa-s

    Viscosity of a fluid is the ratio of shear stress to shear rate during flow

    ,

    For non-Newtonian fluids, it is not

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    Viscosity of Polymers and Flow Rate

    Viscosity of a thermoplastic polymer melt is not constant

    It is affected by flow rate

    s e av or s non- ew on an

    A fluid that exhibits this decreasing viscosity with increasing shear rateis calledpseudoplastic

    This complicates analysis of polymer shaping processes such as

    injection molding

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    Viscoelastic Behavior (Combination of viscosity and

    e as c yMaterial property that determines the strain it experiences when

    subjected to combinations of stress and temperature over time

    Viscoelastic Behavior of Pol mers: Sha e Memor

    It remembers

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    Types of BondMechanical Pro erties for

    Engineering materialsStress strain

    Tens e

    Compression

    Bending

    Polymers

    ViscosityVisco-elasticity

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    ysica properties o

    dimensions, tolerance andsurfaces

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    Thin s to be covered Volumetric and Melting properties

    Thermal Properties

    Mass diffusion

    Electric Properties

    Electrochemical Processes Dimension, tolerance related

    Surface texture and integrity

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    Volumetric and MeltingProperties

    Pro erties related to the volume of solids

    Density atomic number, atomic radius, Packingfactor

    Strength to weight ratio - criteria

    Thermal expansion

    ens y w empera ure

    Co-efficient of thermal expansion length ratio -

    Melting point

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    Specific heat

    Thermal diffusivity

    - Volumetric specific heat

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    Mass diffusionMovement of atoms or molecules within a material or across

    a boundary between two materials in contact

    Ficks first law : dm/dt = -D (dc/dt) A

    D = diffusion co-eff of the metal

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    Electrical Properties Solid electrons bring movement

    Liquid ions

    Resistivity

    Resistivity changes with temperature property

    Dielectric property - non conductor apply to DC source Superconductor and semi conductor

    resistivity between conductor and insulator

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    Electrochemical rocessesFaradays law :

    *

    Q = It

    F = Faradays constantM = molar massZ = valency number of ions

    At electrodes followin reactions can ha en Deposition or dissolution can be done Gas can be released

    Dimensions tolerance

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    Dimensions, tolerance

    component specified on the part drawing

    dimension.

    Surface exterior boundary ofan an ob ect with its surroundin

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    Sur ace technolo Characteristics of surface

    Surface texture roughness, waviness, lay patternof surface texture

    Surface integrity Surface texture and

    subsurface changes

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    En ineerin materials Metals

    Alloys, Ferrous and Non ferrous,superalloys

    Ceramics

    Pol er Thermo plastic, Thermo set, Elastomer

    reinforcement

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    Introduction General properties of metals High stiffness and strength, Toughness, Good electrical and

    erma proper es

    Metal categories starting form Cast, wrought and powdered metal

    Metal classification

    Ferrous and non ferrous

    Alloy is a metal composed of two or more elements

    where at least 1 is metallic

    Solid Solution Substitutional and intermetallic hase

    Intermediate phases (phase any homogeneous mass of material)

    S lid l ti (SS) ll

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    Solid solution (SS) alloys

    SS - solvent base element metal

    Substitutional SS Hume-Rothery rules

    1. Atomic radius of elements 15%

    Interstitial (SS) - atomicradius of solute atom must be

    -2. Lattic types must be same

    3. Lower valence metal solvent

    4. Chemical affinity should be less

    Intermediate phase : The amount of dissolving element exceedsthe solid solubility forms second phase formChemical composition and crystal structure are different

    Two types : Intermetallic and metallic compound (metal

    and non metal)