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31.03.2017 | Original Paper

On the stress calculation within phase-field approaches: a model for finite deformations

verfasst von: Daniel Schneider, Felix Schwab, Ephraim Schoof, Andreas Reiter, Christoph Herrmann, Michael Selzer, Thomas Böhlke, Britta Nestler

Erschienen in: Computational Mechanics | Ausgabe 2/2017

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Abstract

Numerical simulations based on phase-field methods are indispensable in order to investigate interesting and important phenomena in the evolution of microstructures. Microscopic phase transitions are highly affected by mechanical driving forces and therefore the accurate calculation of the stresses in the transition region is essential. We present a method for stress calculations within the phase-field framework, which satisfies the mechanical jump conditions corresponding to sharp interfaces, although the sharp interface is represented as a volumetric region using the phase-field approach. This model is formulated for finite deformations, is independent of constitutive laws, and allows using any type of phase inherent inelastic strains.

Vorheriger Artikel An enriched finite element method to fractional advection–diffusion equation

Nächster Artikel A-posteriori error estimation for the finite point method with applications to compressible flow

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Titel: On the stress calculation within phase-field approaches: a model for finite deformations
verfasst von: Daniel Schneider
Felix Schwab
Ephraim Schoof
Andreas Reiter
Christoph Herrmann
Michael Selzer
Thomas Böhlke
Britta Nestler
Publikationsdatum: 31.03.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Computational Mechanics / Ausgabe 2/2017
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI: https://doi.org/10.1007/s00466-017-1401-8

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