5.6. Nomenclature

Greek Symbols

α

Coefficient of thermal expansion / Fracture angle in LaRC

β

Coefficient of moisture expansion / Shearing angle in draping

γ

Shear strain, shear angle

η

Coefficient of influence

Δ

Load change

ε

Normal strain

ϑ

Third coordinate of the modified cylindrical coordinate system

κ

Curvature

ν

Poisson's ratio

σ

Normal stress

τ

Shear stress

φ

Misalignment angle

ϕ

Second coordinate of the cylindrical coordinate system

ξ, η, ζ

Principal stress/strain coordinate system

Latin Symbols

Curve fitting parameter for Cuntze's failure criterion

Components of the 3D stiffness matrix

Young's modulus

Coefficients in quadratic failure criteria, stress space

Interaction coefficient in the Tsai-Wu criterion

Failure criterion function

Shear modulus

Toughness ratio

Moisture / humidity

Thickness

IRF

Inverse Reserve Factor

MoS

Margin of safety

Interaction exponent for Cuntze's failure criterion

Slope parameter for Puck's action plane criterion

Shear failure stress in the 23-plane/Wrinkling coefficient

Shear failure stress in the 13-plane/Midplane curvature radius

Fracture resistance in Puck's action plane criterion

Radial ordinate R+z

rd

Radius difference

RF

Reserve Factor

Shear failure stress/strain in the 12-plane

Temperature

In-plane displacement in x, y-direction

Failure stress/strain for isotropic material

Through-the-thickness displacement

Failure stress/strain in the 1-direction

Global x-coordinate

Failure stress/strain in the 2-direction

Global y- and longitudinal coordinate of the cylindrical coordinate system

Thickness coordinate

1, 2, 3

Ply principal coordinate system

Subscripts

Core

Compressive

Delamination

Exposure

Effective

Face sheet

Bottom face sheet

Top face sheet

Fiber failure mode

In-situ

Matrix failure mode

Supporting point number

Tensile

Perpendicular to fiber

Parallel to fiber

Wrinkling

,

Derivative

Superscripts

Midplane strain

Action plane

Under compression load

Sum of temperature and moisture effects

Longitudinal

In misalignment frame coordinate system

Under tension load / Transverse

Acronyms

FF

Fiber Failure

IFF

Inter-fiber Failure

INS

Interlaminar Normal Stress

ISS

Interlaminar Shear Stress

LSoE

Linear System of Equations

UD

Unidirectional