Using the definitions of stresses and displacements this equation is written as
![](images/image005.gif) ![](images/image072.gif) |
(7.270) |
The various quantities in above equation are given as
![](images/image005.gif) ![](images/image074.gif) |
(7.271) |
This expression is derived from the condition that the displacements must be bounded at . Thus, from Equation (7.256), . Thus, we can write
![](images/image005.gif) ![](images/image080.gif) |
(7.272) |
Similarly, with in Equation (7.256), the stresses become
![](images/image005.gif) ![](images/image082.gif) |
(7.273) |
The stresses at can be given again using Equation (7.256) as
![](images/image005.gif) ![](images/image084.gif) |
(7.274) |
Finally, and are evaluated at from Equation (7.258) and are given as
![](images/image005.gif) ![](images/image088.gif) |
(7.275) |
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