December 2014
Intermediate to advanced
340 pages
9h 38m
English
Content preview from Fundamentals of Continuum Mechanics
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Chapter 8
Incompressibility and Thermal Expansion
Abstract
In this chapter, we develop thermomechanical models for (i) incompressible viscous fluids, (ii) incompressible nonlinear elastic solids, and (iii) viscous fluids that thermally expand and contract. A material is referred to as incompressible if, within a certain class of loadings, only isochoric or volume-preserving motions are possible. In other words, the volume of the material cannot be changed appreciably by any means, be they thermal or mechanical. In the same vein, for certain classes of loadings, some materials are mechanically incompressible, yet experience significant thermal expansion, i.e., thermally induced volume change. For instance, polymer melts are relatively insensitive ...
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