ecture dislocation slip

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    Chapter 7-

    Quiz is: (1) Closed book

    (2) Covers material from beginning of lecture 1 to

    the end of lecture 13 (previous lecture!)

    (3) Worth 30% of total assessment

    (4) A similar format to example quiz (will be available

    after pacing break).

    Remember to bring a calculator and ruler but not

    cell phone. These will not be provided!

    Midterm Exam Wednesday 23rd October

    11.10

    12.00Please be seated by 11.00am sharp!

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    Chapter 7-

    ISSUES TO ADDRESS...

    Why are dislocations observed primarily in metals

    and alloys?

    How are strength and dislocation motion related?

    How do we increase strength?

    1

    How can heating change strength and other properties?

    Dislocation Slip

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    Chapter 7-

    Design uncertainties mean we do not push the limit.

    Factor of safety, N

    working y

    N

    Often N isbetween

    1.2 and 4

    Example: Using a safety factor of 5, calculate the diameter,

    d, needed to ensure that yield does not occur in the 1045

    carbon steel rod shown below.

    working y

    N

    Design or Safety Factors

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    Chapter 7- 3

    1. Initial 2. Small load 3. Unload

    Plastic means permanent!

    F

    linearelastic

    linearelastic

    plastic

    Plastic Deformation (Metals)

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    Chapter 7-

    Analogy of Dislocation Motion

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    Chapter 7-

    Produces plastic deformation

    -

    Depends on

    Simulation of Dislocation Motion

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    Chapter 7-

    Line Defects : Edge Dislocations

    Edge

    dislocation

    line

    Burgers vector

    Dislocation: some of atoms are misaligned

    Half plane

    Squeezed

    Pulled

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    Chapter 7-Screw Dislocations Mixed Dislocations

    Other Types of Dislocations

    Edge

    Mixed

    Screw

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    Chapter 7-9

    Dislocation Motion

    A dislocation moves

    perpendicular to the dislocation line

    The slip direction is the same as the

    Edge dislocation

    Screw dislocation

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    Chapter 7- 2

    Metals: Disl. motion

    electron cloud ion cores

    Covalent Ceramics(Si, diamond): Motion

    Ionic Ceramics (e.g. NaCl):

    Motion

    Dislocations versus Materials Class

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    Chapter 7- 3

    Plastically

    deformedzinc

    single

    crystal.

    Plastic Shear in Metals

    The slip plane has

    The slip direction has

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    Chapter 7-

    Plastic Shear in Metals

    Compression: pure Ni (fcc)

    Uchic et al., Science 305 (2004), 986

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    Chapter 7-

    Slip Plane - {111} Slip Direction -

    FCC Slip occurs on planes (close-packed) in

    directions (close-packed)

    => total of

    Slip SystemSlip plane -

    Highest planar densities (and large interplanar spacings)

    Slip directions-Highest linear densities

    Slip System in FCC Metals

    For BCC & HCP there are other slip systems.

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    Chapter 7-

    BCC

    FCC

    HCP

    Common Slip Systems in Metals

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    Chapter 7- 6

    Structure: close-packed

    planes & directionsare preferred.

    Comparison among crystal structures:FCC/BCC: many close-packed planes/directions;

    HCP: only one plane, 3 directions;

    Mg (HCP)

    Al (FCC)

    tensile direction

    Results of tensiletesting.

    view onto two

    close-packedplanes.

    Dislocations & Crystal Structure

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    Chapter 7- 4

    Crystals slip due to

    Applied tensile stress can

    R cos cos

    ns

    AAs

    Stress and Dislocation Motion

    slip plane

    normal, ns

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    Chapter 7- 5

    Condition for dislocation motion:

    Slip plane orientation relative to tensile

    axis affects ease of dislocation motion

    R cos cos

    Critical Resolved Shear Stress

    10-4G to 10-2G

    typically

    R >CRSS

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    Chapter 7-

    Slip planes & directions

    (, )

    Rwill

    The crystal with the

    R yields first.

    Other (less favorably

    oriented) crystals

    yield later.300 mm

    Dislocation Motion in Polycrystals