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8.11: Nomenclature

  • Page ID
    34848
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    a, \(\ \tau_\mathrm{a}\)

    Adhesive shear strength

    kPa

    A

    Adhesive force on the blade

    kN

    BTS

    Brazilian Tensile Strength

    kPa

    c, \(\ \tau_\mathrm{c}\)

    Cohesive shear strength

    kPa

    cm

    Mobilized cohesive shear strength

    kPa

    C

    Cohesive force on shear plane

    kN

    Esp

    Specific energy

    kPa

    F

    Force

    kN

    Fc

    Cutting force on chisel Evans model

    kN

    Fn

    Normal force on chisel Evans model

    kN

    Fch

    Horizontal force component Evans model

    kN

    Fcv

    Vertical force component Evans model

    kN

    Fh

    Horizontal cutting force

    kN

    Fv

    Vertical cutting force

    kN

    g

    Gravitational constant (9.81)

    m/s2

    G

    Gravitational force

    kN

    hi

    Initial thickness of layer cut

    m

    hb

    Height of the blade

    m

    K1

    Grain force on the shear plane

    kN

    K2

    Grain force on the blade

    kN

    I

    Inertial force on the shear plane

    kN

    n

    Power in Nishimatsu model

    -

    N1

    Normal grain force on shear plane

    kN

    N2

    Normal grain force on blade

    kN

    p

    Stress in shear plane Nishimatsu model

    kPa

    p0

    Stress at tip of chisel Nishimatsu model

    kPa

    Pc

    Cutting power

    kW

    Q

    Production

    m3

    r

    Radius in Evans model

    m

    r

    Adhesion/cohesion ratio

    -

    r1

    Pore pressure on shear plane/cohesion ratio

    -

    r2

    Pore pressure on blade/cohesion ratio

    -

    R

    Radius of Mohr circle

    kPa

    R

    Force on chisel Evans model

    kN

    Rn

    Normal force on chisel surface Evans model

    kN

    Rf

    Friction force on chisel surface Evans model

    kN

    R1

    Acting point on the shear plane

    m

    R2

    Acting point on the blade

    m

    S1

    Shear force due to internal friction on the shear plane

    kN

    S2

    Shear force due to external friction on the blade

    kN

    T

    Tensile force

    kN

    UCS

    Unconfined Compressive Strength

    kPa

    vc

    Cutting velocity

    m/s

    w

    Width of the blade

    m

    W1

    Force resulting from pore under pressure on the shear plane

    kN

    W2

    Force resulting from pore under pressure on the blade

    kN

    α

    Blade angle

    rad

    β

    Angle of the shear plane with the direction of cutting velocityrad

    rad

    ε

    Angle of chisel with horizontal Evans model

    rad

    \(\ \tau\)

    Shear stress

    kPa

    \(\ \tau_\mathrm{a}\), a

    Adhesive shear strength (strain rate dependent)

    kPa

    \(\ \tau_\mathrm{c}\), c

    Cohesive shear strength (strain rate dependent)

    kPa

    \(\ \tau_{\mathrm{S1}}\)

    Average shear stress on the shear plane

    kPa

    \(\ \tau_{\mathrm{S2}}\)

    Average shear stress on the blade

    kPa

    σ

    Normal stress

    kPa

    σC

    Center of Mohr circle

    kPa

    σT

    Tensile strength

    kPa

    σmin

    Minimum principal stress in Mohr circle

    kPa
    σN1

    Average normal stress on the shear plane

    kPa

    σN2

    Average normal stress on the blade

    kPa

    φ

    Angle of internal friction

    rad

    δ

    Angle of external friction

    rad

    λ

    Distance in Nishimatsu model

    m

    λs

    Strengthening factor

    -

    λ1

    Acting point factor on the shear plane

    -

    λ2

    Acting point factor on the blade

    -

    λHF

    Flow Type/Crushed Type horizontal force coefficient

    -

    λVF

    Flow Type/Crushed Type vertical force coefficient

    -

    λHT

    Tear Type/Chip Type horizontal force coefficient

    -

    λVT

    Tear Type/Chip Type vertical force coefficient

    -

    ω

    Angle in Evans model

    rad


    8.11: Nomenclature is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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