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Isothermal stress coefficient

Values for calculation

$ \{δ\in\mathbb{R}\mid δ>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ δ $
$ \{φ_{δδ}\in\mathbb{R}\} $
This set includes all real numbers.
$ φ_{δδ} $
$ \{φ_δ\in\mathbb{R}\} $
This set includes all real numbers.
$ φ_δ $
$ \{ρ\in\mathbb{R}\mid ρ>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ ρ $ $ \mathrm{kg\cdot\ m^{-3}} $
$ \text{Region} $

Calculation

Isothermal stress coefficient

$\text{if }\ \text{Region}= 3$
$\text{if }\ \text{Region}= 3$
Equations in LaTeX code
\text{if }\ \text{Region}= 3
$$β_p=\left(2+\cfrac{δ\cdot φ_{δδ}}{φ_δ}\right)\cdot ρ$$
$β_p=\left(2+\cfrac{δ\cdot φ_{δδ}}{φ_δ}\right)\cdot ρ$
Equations in LaTeX code
β_p=\left(2+\cfrac{δ\cdot φ_{δδ}}{φ_δ}\right)\cdot ρ
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$β_p=0$$
$β_p=0$
Equations in LaTeX code
β_p=0
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