Is there any relationship between thermal expansion coefficient and Young's modulus? How about their temperature dependence?
Dear Aslan,
please see the links for a more general treatment of this topic.
https://sem.org/wp-content/uploads/2015/12/sem.org-2005-SEM-Ann-Conf-s035p2-Relation-Elastic-Modulus-Thermal-Expansion-Coefficient-Elastic.pdf
http://onlinelibrary.wiley.com/doi/10.1002/9783527617029.app3/pdf
Dear Aslan Ahadi,
Intrinsic properties depend on the behaviour of atoms and electrons. The thermal expansion coefficient and Young's Modulus are intrinsic properties. This means that such properties are interrelated via the Grüneisen constant. An introduction to this approach is given in Section 2.2.4 of the Reference.
Reference
Materials Science in Design and Engineering, Delft NL, 2012.
http://www.delftacademicpress.nl/m017.php
Thank you so much guys. a follow up question:
What would you expect about the Young's modulus of a material with negative thermal expansion (NTE) coefficient, positive thermal expansion (PTE) coefficient, and zero expansion coefficient (ZTE). I have developed a plate via SPD that shows ZTE, PTE and NTE along different directions of the plate. I am trying to interpret the Young's modulus of the plate from thermal expansion measurements.
Thanks a lot
Dear Aslan Ahadi,
The Grüneisen approach is a first approach and it assumes isotropy. The relations between intrinsic properties are fundamental. To study these relations for non-isotropical cases, tensors should be invoked. Current textbooks, e.g. the references given by Angel Madrid probably provide a good starting point for your study/research.