Модул на срязване

В материалознанието модул на срязване (на английски: shear modulus; наричан още модул на хлъзгане^[1] и модул на ъгловите деформации; означение – $G$ ), се дефинира чрез отношението между тензорите на срязващите напрежения и деформации, съответно като ^[2]:

$G\ {\stackrel {\mathrm {def} }{=}}\ {\frac {\tau _{xy}}{\gamma _{xy}}}={\frac {\frac {F}{A}}{\frac {\Delta x}{l}}}={\frac {Fl}{A\Delta x}}$

където:

\tau _{xy}={\frac {F}{A}}

е срязващото напрежение;

F

е силата, която действа на системата;

A

е площта, върху която действа силата;

\gamma _{xy}={\frac {\Delta x}{l}}=\tan(\Omega )

е срязващата деформация при чисто срязване;

\Delta x

e провисването под действие на силата

F

;

l

e разстоянието от силата

F

до опората;

\Omega

ъгъл в правоъгълния триъгълник с катети

l

\Delta x

. Обикновено

\Omega

е малък ъгъл, следователно

\tan(\Omega )\approx \Omega

\Omega \approx \gamma _{xy}

Мерни единици

Мерна единица за модула на срязване в система единици SI е паскал (Pa)

$1~Pa={\frac {1~N}{1~m^{2}}}={\frac {1~kg}{1~m\times 1~s^{2}}}$

и неговите производни мегапаскал (MPa) и гигапаскал (GPa).

Източници

↑ Еластични свойства на телата // web.uni-plovdiv.bg. с. 10. Посетен на 3 април 2021.
↑ IUPAC, Compendium of Chemical Terminology, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) "shear modulus, G".

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