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A thermodynamically consistent finite strain micro-sphere framework for phase-transformations

Ostwald, Richard; Bartel, T. and Menzel, A. LU (2016) 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering 1. p.2110-2122
Abstract

We extend a thermodynamically consistent finite strain micro-sphere framework elaborated by Carol et al. towards the modelling of phase-transformations to allow for the simulation of polycrystalline solids such as, e.g., shape memory alloys and shape memory polymers undergoing large deformations. The considered phase-transformation mechanism is based on statistical physics and allows the consideration of an arbitrary number of solid material phases. The specifically constructed, non-quadratic Helmholtz free energy functions considered in every micro-plane of the micro-sphere framework are extended to include individual Bain-type transformation strains for each of the phases. The total strains acting in each material phase are... (More)

We extend a thermodynamically consistent finite strain micro-sphere framework elaborated by Carol et al. towards the modelling of phase-transformations to allow for the simulation of polycrystalline solids such as, e.g., shape memory alloys and shape memory polymers undergoing large deformations. The considered phase-transformation mechanism is based on statistical physics and allows the consideration of an arbitrary number of solid material phases. The specifically constructed, non-quadratic Helmholtz free energy functions considered in every micro-plane of the micro-sphere framework are extended to include individual Bain-type transformation strains for each of the phases. The total strains acting in each material phase are multiplicatively decomposed into elastic strains and transformation strains.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Finite strain, Micro-sphere, Phase-transformation
in
ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
volume
1
pages
13 pages
publisher
National Technical University of Athens
conference name
7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
external identifiers
  • scopus:84995451107
ISBN
9786188284401
language
English
LU publication?
yes
id
88ed7a83-adb9-4621-9482-5e1a303cc915
alternative location
https://www.eccomas2016.org/proceedings/pdf/10899.pdf
date added to LUP
2017-02-24 12:44:35
date last changed
2017-02-28 14:19:18
@inproceedings{88ed7a83-adb9-4621-9482-5e1a303cc915,
  abstract     = {<p>We extend a thermodynamically consistent finite strain micro-sphere framework elaborated by Carol et al. towards the modelling of phase-transformations to allow for the simulation of polycrystalline solids such as, e.g., shape memory alloys and shape memory polymers undergoing large deformations. The considered phase-transformation mechanism is based on statistical physics and allows the consideration of an arbitrary number of solid material phases. The specifically constructed, non-quadratic Helmholtz free energy functions considered in every micro-plane of the micro-sphere framework are extended to include individual Bain-type transformation strains for each of the phases. The total strains acting in each material phase are multiplicatively decomposed into elastic strains and transformation strains.</p>},
  author       = {Ostwald, Richard and Bartel, T. and Menzel, A.},
  booktitle    = {ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering},
  isbn         = {9786188284401},
  keyword      = {Finite strain,Micro-sphere,Phase-transformation},
  language     = {eng},
  pages        = {2110--2122},
  publisher    = {National Technical University of Athens},
  title        = {A thermodynamically consistent finite strain micro-sphere framework for phase-transformations},
  volume       = {1},
  year         = {2016},
}