主应力旋转和冻融循环耦合下改性铁尾矿砂的动力学特性

王智超,姜屏,王伟,李娜,胡星辰

Dynamic characteristics of modified iron tailings under coupled principal stress rotation and freeze-thaw cycles

Zhichao WANG,Ping JIANG,Wei WANG,Na LI,Xingchen HU

表 1 空心圆柱试样的各应力与应变分量计算公式

Tab.1 Calculation formulas for stress and strain components of hollow cylinder specimen

应力分量 应变分量 $ {\sigma }_{z}=\dfrac{W}{{\text{π}} \left(r_{{\mathrm{{\mathrm{o}}}}}^{2}-r_{{\mathrm{i}}}^{2}\right)}+\dfrac{{p}_{{\mathrm{{\mathrm{o}}}}}r_{{\mathrm{{\mathrm{o}}}}}^{2}-{p}_{{\mathrm{i}}}r_{{\mathrm{i}}}^{2}}{\left(r_{{\mathrm{o}}}^{2}-r_{{\mathrm{i}}}^{2}\right)} $ $ {\varepsilon }_{z}=\dfrac{z}{H} $ $ {\sigma }_{r}=\dfrac{{p}_{{\mathrm{o}}}{r}_{{\mathrm{o}}}+{p}_{{\mathrm{i}}}{r}_{{\mathrm{i}}}}{{r}_{{\mathrm{o}}}+{r}_{{\mathrm{i}}}} $ $ {\varepsilon }_{r}=-\dfrac{{u}_{{\mathrm{o}}}-{u}_{{\mathrm{i}}}}{{r}_{{\mathrm{o}}}-{r}_{{\mathrm{i}}}} $ $ {\sigma }_{\theta }=\dfrac{{p}_{{\mathrm{o}}}{r}_{{\mathrm{o}}}-{p}_{{\mathrm{i}}}{r}_{{\mathrm{i}}}}{{r}_{{\mathrm{o}}}-{r}_{{\mathrm{i}}}} $ $ {\varepsilon }_{\theta }=-\dfrac{{u}_{{\mathrm{o}}}+{u}_{{\mathrm{i}}}}{{r}_{{\mathrm{o}}}+{r}_{{\mathrm{i}}}} $ $ {\tau }_{z\theta }=\dfrac{T}{2}\left[\dfrac{3}{2{\text{π}} \left(r_{{\mathrm{o}}}^{3}-r_{{\mathrm{i}}}^{3}\right)}+\dfrac{4\left(r_{{\mathrm{o}}}^{3}-r_{{\mathrm{i}}}^{3}\right)}{3{\text{π}} \left(r_{{\mathrm{o}}}^{2}-r_{{\mathrm{i}}}^{2}\right)\left(r_{{\mathrm{o}}}^{4}-r_{{\mathrm{i}}}^{4}\right)}\right] $ $ {\gamma }_{z\theta }=\dfrac{\theta \left(r_{{\mathrm{o}}}^{3}-r_{{\mathrm{i}}}^{3}\right)}{3H\left(r_{{\mathrm{o}}}^{2}-r_{{\mathrm{i}}}^{2}\right)} $