Ideal uniaxial elongation

The 1-D problem (7.8)-(7.10) admits a pure uniaxial extension given by  

$$W_{0} =0, \phi_{0}= -\frac{t}{2}$$ (226)

 

$$\tau_{11}^{0}=\frac{\beta}{1+\rm{De}}[e^{-(1+1/\rm{De})t}-1]$$ (227)

 

$$\tau_{33}^{0}=\left \{\begin{array} {ll} \frac{2\beta}{1-2... ...}{2}\\ 4\beta t & \rm{De}=\frac{1}{2} \end{array} \right .$$ (228)