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Biaxially stressed infinite thin element with an infinite row of circular holes

Biaxially stressed infinite thin element with an infinite row of circular holes σ d σ σ max l σ σ
Biaxially stressed infinite thin element with an infinite row of circular 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

$$K_{tg}=1.9567+1.468\cdot\left(\cfrac{d}{l}\right)-4.551\cdot\left(\cfrac{d}{l}\right)^2+9.6867\cdot\left(\cfrac{d}{l}\right)^3$$
$K_{tg}=1.9567+1.468\cdot\left(\cfrac{d}{l}\right)-4.551\cdot\left(\cfrac{d}{l}\right)^2+9.6867\cdot\left(\cfrac{d}{l}\right)^3$
Equations in LaTeX code
K_{tg}=1.9567+1.468\cdot\left(\cfrac{d}{l}\right)-4.551\cdot\left(\cfrac{d}{l}\right)^2+9.6867\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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