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An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain
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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Netherlands
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244787/ https://www.ncbi.nlm.nih.gov/pubmed/30524189 http://dx.doi.org/10.1007/s11043-017-9364-x |
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author | Pettermann, Heinz E. DeSimone, Antonio |
author_facet | Pettermann, Heinz E. DeSimone, Antonio |
author_sort | Pettermann, Heinz E. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-6244787 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Springer Netherlands |
record_format | MEDLINE/PubMed |
spelling | pubmed-62447872018-12-04 An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain Pettermann, Heinz E. DeSimone, Antonio Mech Time Depend Mater Article 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. Springer Netherlands 2017-09-19 2018 /pmc/articles/PMC6244787/ /pubmed/30524189 http://dx.doi.org/10.1007/s11043-017-9364-x Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Article Pettermann, Heinz E. DeSimone, Antonio An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain |
title | An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain |
title_full | An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain |
title_fullStr | An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain |
title_full_unstemmed | An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain |
title_short | An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain |
title_sort | anisotropic linear thermo-viscoelastic constitutive law: elastic relaxation and thermal expansion creep in the time domain |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244787/ https://www.ncbi.nlm.nih.gov/pubmed/30524189 http://dx.doi.org/10.1007/s11043-017-9364-x |
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