Design and Analysis of Composite Structures for Automotive Applications

List of Symbols and Abbreviations

E_L

Longitudinal modulus of elasticity of composite parallel to fiber direction

E_T

Transverse modulus of elasticity of composite perpendicular to the fiber direction

G_TL

Transverse‐longitudinal shear modulus of composite

G_TT

Transverse shear modulus of composite

r_f

Radius of the fiber

External radii of hypothetical matrix cylinders

V_f

Fiber volume content

V_m

Matrix volume content, V_m = 1 − V_f

ν_TL

Transverse‐longitudinal Poisson ratio of a composite

ν_TT

Transverse Poisson's ratio of a composite

E_f

Longitudinal modulus of elasticity of fibers

E_{f. T}

Transverse modulus of elasticity of fibers

E_m

Modulus of elasticity of matrix (resin)

ν_m

Poisson's ratio of matrix (resin)

G_m

Shear modulus of matrix (resin)

G_{f. TL}

Transverse‐longitudinal shear modulus of fibers

ν_{f. TL}

Transverse‐longitudinal Poisson's ratio of fibers

ν_{f. TT}

Transverse Poisson's ratio of fibers

S = [S_ijpq]

Compliance tensor of rank four, i, j, p, q = 1, 2, 3

C = [C_ijpq]

Elasticity tensor of rank four

C⁽⁰⁾ = [c_ijpq]

Elasticity tensor of rank four, in the layer coordinate system

S⁽⁰⁾ = [s_ijpq]

Compliance tensor of rank four, in the layer coordinate system

I = [I_ijpq]

Fourth rank identity tensor

σ

Voigt's stress vector

ɛ

Voigt's strain vector

C

Voigt's elasticity matrix

Kelvin's stress vector ...