After taking this unit, the student should be able to:
Apply the basic principles of programming in studying problems in discrete mathematics.
Make proper use of data structures in the applications context.

这是一份Bath巴斯大学MA10265R作业代写的成功案

$$
\gamma(t)=\gamma(0)=\text { constant } \Rightarrow \dot{\gamma}=0
$$
so that can be solved to give the stress in a single Maxwell element in relaxation as
$$
\sigma(t)=G \gamma(0) e^{-t / \lambda}=\sigma(0) e^{-t / \lambda}, \quad \lambda \equiv \mu / G=\text { constant }
$$
where $\lambda$ is called the characteristic relaxation time of the assembly. we see that $\lambda$ is the time required for the stress to decay to $1 / e$ of its initial value. For the creep test where $\sigma(t)=\sigma(0)=$ constant, it is easy to show that now leads to the following strain in a single Maxwell element in creep
$$
\gamma(t)=\frac{\sigma(0)}{G}\left(1+\frac{t}{\lambda}\right)=\gamma(0)\left(1+\frac{t}{\lambda}\right)
$$

MA10265R  COURSE NOTES ：

Using the remaining $\mathrm{BC}$ for $v_{z}$ at $z=h$ we find the constant $c$ to be
$c=\frac{3}{4} \frac{(-\bar{h})}{h^{3}}$
Finally, going back to and using we integrate with respect to $r$ and use the $\mathrm{BC}$ for $p$ at $R$ to get the pressure field as
$$
p=p_{\mathrm{a}}+\frac{3(-\dot{h}) \mu R^{2}}{4 h^{3}}\left[1-\left(\frac{r}{R}\right)^{2}\right]
$$
Since $S_{z \tau}=0$ at $z=h$ (see Eqs. $206_{3}$ and 216 ), the force on the disk at $z=h$ is
$$
F=\int_{0}^{2 \pi} \int_{0}^{R}\left(p-p_{i}\right)_{z=h} r \mathrm{~d} r \mathrm{~d} \theta=\frac{3 \pi R^{4} \mu(-\dot{h})}{8 h^{3}}
$$