Using a new experimental setup have now proved that one could actually draw a thermal conductivity-strain relationship in the same way as stress-strain relation!
What remains to be seen is that whether this relationship is tensorial or not! Details are in the paper..
Correlating Microscale Thermal Conductivity of Heavily-Doped Silicon With Simultaneous Measurements of Stress," has been published online today, 20 October 2011, in Journal of Engineering Materials and Technology (Vol.133, Iss.4):
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