APPENDIX B. DERIVATION OF XOXLINEAR STRAIN-DISPLACEMENT EXPRESSIONS 211
Thus the Merence in the squares of these distances is given by
dr' dr'
- dr - dr = [gr - gr - 11 dr2 + 2g,
ger d r d + ~ zg, - gzdr dz
+ [ge -ge - 1]r2dd2+ge . & r d ~ d t+ [g, - g, - 11 d t 2 .
(B.5)
The strain tensor is defined in so as to describe this change in the length of the line elements in the following manner
For completeness, the explicit expressions are given belouv.