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Title
An anisotropic linear thermo-viscoelastic constitutive law
AuthorPettermann, Heinz E. ; DeSimone, Antonio
Published in
Mechanics of Time-Dependent Materials, 2017,, page 1-13
PublishedSpringer Netherlands, 2017
LanguageEnglish
Document typeJournal Article
Keywords (EN)Viscoelastic / Anisotropic / Constitutive laws / Thermal expansion creep / Finite element method implementation
ISSN1573-2738
URNurn:nbn:at:at-ubtuw:3-4402 Persistent Identifier (URN)
DOI10.1007/s11043-017-9364-x 
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 The work is publicly available
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An anisotropic linear thermo-viscoelastic constitutive law [0.73 mb]
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Abstract (English)

A constitutive material law for linear thermo-viscoelasticity in the time domain is presented. The time-dependent relaxation formulation is given for full anisotropy, i.e., both the elastic and the viscous properties are anisotropic. Thereby, each element of the relaxation tensor is described by its own and independent Prony series expansion. Exceeding common viscoelasticity, time-dependent thermal expansion relaxation/creep is treated as inherent material behavior. The pertinent equations are derived and an incremental, implicit time integration scheme is presented.

The developments are implemented into an implicit FEM software for orthotropic material symmetry under plane stress assumption. Even if this is a reduced problem, all essential features are present and allow for the entire verification and validation of the approach. Various simulations on isotropic and orthotropic problems are carried out to demonstrate the material behavior under investigation.

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CC-BY-License (4.0)Creative Commons Attribution 4.0 International License