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Journal of Elasticity

Erschienen in:

29.05.2018

Finite Third-order Gradient Elasticity and Thermoelasticity

verfasst von: Jörg Christian Reiher, Albrecht Bertram

Erschienen in: Journal of Elasticity | Ausgabe 2/2018

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Abstract

A constitutive format for the third-order gradient elasticity is suggested. It includes both isotropic and anisotropic non-linear behavior under finite deformations. Appropriate invariant stress and strain variables are introduced, which allow for reduced forms of the elastic energy law that identically fulfill the objectivity requirement. After working out the transformation behavior under a change of the reference placement, the symmetry transformations for third-order materials can be introduced. After the mechanical third-order theory, an extension to thermoelasticity is given, and necessary and sufficient conditions are derived from the Clausius-Duhem inequality.

Vorheriger Artikel Whirl Mappings on Generalised Annuli and the Incompressible Symmetric Equilibria of the Dirichlet Energy

Nächster Artikel On the Fiber Stretch in Shearing Deformations of Fibrous Soft Materials

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Titel: Finite Third-order Gradient Elasticity and Thermoelasticity
verfasst von: Jörg Christian Reiher
Albrecht Bertram
Publikationsdatum: 29.05.2018
Verlag: Springer Netherlands
Erschienen in: Journal of Elasticity / Ausgabe 2/2018
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI: https://doi.org/10.1007/s10659-018-9677-2

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