We now summarize the principal formulae of thermoelastostatics of statistically homogeneous composites satisfying the ergodicity condition in a form that is appropriate for our intended application to composites [251], [302], [438], [439], [460], [602], [646], [1180], [1183]. General representations of both effective properties and effective energy functions are presented through the local stress and strain concentrator factors. Some general exact results for both the two-phase composites and polycrystals composed of transversally isotropic crystals are presented. We will consider the variational methods representing the most rigorous trend of micromechanics which generate the bounds of effective properties by the substitution of approximate fields into the strict energy bounds obtained by the volume average of the energy density with the help of lower-order correlation functions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2007). Effective Properties and Energy Methods in Thermoelasticity of Composite Materials. In: Micromehcanics of Heterogenous Materials. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-68485-7_6
Download citation
DOI: https://doi.org/10.1007/978-0-387-68485-7_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-36827-6
Online ISBN: 978-0-387-68485-7
eBook Packages: EngineeringEngineering (R0)