3 连续体力学

胡克定律

$\text{应力}\tau =\text{弹性模量}M\times \text{应变}\epsilon$ 线应变: $\frac{F}{S}=E\frac{\Delta L}{L}\text{或}{\tau }_{\text{线}}=E{\epsilon }_{\text{线}}$ 切应变: $\frac{F}{S}=G\theta =G\frac{\Delta x}{L}\text{或}{\tau }_{\text{切}}=G{\epsilon }_{\text{切}}$ 体应变: $\Delta p=-K\frac{\Delta V}{V}\text{或}{\tau }_{\text{体}}=K{\epsilon }_{\text{体}}$