Title: An anisotropic linear thermo-viscoelastic constitutive law
Language: English
Authors: Pettermann, Heinz  
DeSimone, Antonio  
Category: Original Research Article
Keywords: Viscoelastic; Anisotropic; Constitutive laws; Thermal expansion creep; Finite element method implementation
Issue Date: 2017
Journal: Mechanics of Time-Dependent Materials 
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.
DOI: 10.1007/s11043-017-9364-x
Library ID: AC15189809
URN: urn:nbn:at:at-ubtuw:3-4402
ISSN: 1385-2000
Organisation: E317 - Institut für Leichtbau und Struktur-Biomechanik 
Publication Type: Article
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