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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 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
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Finite strain, Micro-sphere, Phase-transformation
host publication
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
conference location
Crete, Greece
conference dates
2016-06-05 - 2016-06-10
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
2022-01-30 18:25:52
@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}},
  keywords     = {{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}},
  url          = {{https://www.eccomas2016.org/proceedings/pdf/10899.pdf}},
  volume       = {{1}},
  year         = {{2016}},
}