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9.9: Nomenclature

  • Page ID
    34909
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    a, \(\ \tau_\mathrm{a}\)

    Adhesive shear strength

    kPa

    A

    Adhesive force on the blade

    kN

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

    Cohesive shear strength

    kPa

    c’

    Pseudo cohesive shear strength

    kPa

    C

    Cohesive force on shear plane

    kN

    Esp

    Specific energy

    kPa

    F

    Force

    kN

    Fh

    Horizontal cutting force

    kN

    FD

    Drag force on chisel (horizontal force)

    kN

    Fv

    Vertical cutting force

    kN

    FN

    Normal force on chisel (vertical 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

    hb,m

    Mobilized height of the blade in case Curling Type

    m

    K1

    Grain force on the shear plane

    kN

    K2

    Grain force on the blade

    kN

    I

    Inertial force on the shear plane

    kN

    N1

    Normal grain force on shear plane

    kN

    N2

    Normal grain force on blade

    kN

    p1m

    Pore pressure in the shear plane

    kPa

    p2m

    Pore pressure on the blade

    kPa

    Pc

    Cutting power

    kW

    Q

    Production

    m3

    r

    Adhesion/cohesion ratio

    -

    r1

    Pore pressure on shear plane/cohesion ratio

    -

    r2

    Pore pressure on blade/cohesion ratio

    -

    rz

    Ratio hydrostatic pressure to cohesion

    -

    R

    Radius of Mohr circle

    kPa

    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 Stress

    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 velocity

    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

    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

    -

    λHC

    Curling Type horizontal force coefficient

    -

    λVC

    Curling Type vertical force coefficient

     

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

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