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Uniaxial tension of an infinite thin element with an infinite row of circular holes stress perpendicular to the axis of the holes

Infinite thin element with an infinite row of circular holes stress perpendicular to the axis of the holes σ d σ σ max l
Infinite thin element with an infinite row of circular holes stress perpendicular to the axis of the holes

Values for calculation

$σ$ $\mathrm{MPa}$
$d$ $\mathrm{mm}$
$l$ $\mathrm{mm}$

Calculation

Stress concentration factor with the nominal stress based on gross area

$$K_{tg}=2.9436+1.75\cdot\left(\cfrac{d}{l}\right)-8.9497\cdot\left(\cfrac{d}{l}\right)^2+13.074\cdot\left(\cfrac{d}{l}\right)^3$$
$K_{tg}=2.9436+1.75\cdot\left(\cfrac{d}{l}\right)-8.9497\cdot\left(\cfrac{d}{l}\right)^2+13.074\cdot\left(\cfrac{d}{l}\right)^3$
Equations in LaTeX code
K_{tg}=2.9436+1.75\cdot\left(\cfrac{d}{l}\right)-8.9497\cdot\left(\cfrac{d}{l}\right)^2+13.074\cdot\left(\cfrac{d}{l}\right)^3

Maximum normal stress

$$σ_{max}=K_{tg}\cdot σ$$
$σ_{max}=K_{tg}\cdot σ$
Equations in LaTeX code
σ_{max}=K_{tg}\cdot σ

Nominal or reference normal stress

$$σ_{nom}=\cfrac{σ}{1-d/l}$$
$σ_{nom}=\cfrac{σ}{1-d/l}$
Equations in LaTeX code
σ_{nom}=\cfrac{σ}{1-d/l}

Stress concentration factor with the nominal stress based on net area

$$K_{tn}=\cfrac{σ_{max}}{σ_{nom}}$$
$K_{tn}=\cfrac{σ_{max}}{σ_{nom}}$
Equations in LaTeX code
K_{tn}=\cfrac{σ_{max}}{σ_{nom}}
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