A micro-sphere approach applied to the modelling of phase-transformations |
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| Authors: | Richard Ostwald Thorsten Bartel Andreas Menzel |
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| Institution: | 1. Institute of Mechanics, TU Dortmund, Leonhard-Euler-Str. 5, D-44227 Dortmund, Germany;2. Institute of Mechanics, TU Dortmund, Leonhard-Euler-Str. 5, D-44227 Dortmund, Germany
Division of Solid Mechanics, Lund University, P.O. Box 118, SE-22100 Lund, Sweden |
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| Abstract: | We present an efficient model for the simulation of phase-transformations in polycrystalline materials. As a basis, we use a thermodynamically consistent, one-dimensional phase-transformation model, which is embedded into a micro-sphere formulation in order to be able to simulate three-dimensional boundary value problems. The underlying evolution equations are solved efficiently using a newly developed explicit integration scheme that has been proved to be unconditionally A-stable. A numerical example by means of a deformation in simple shear is additionally provided in this contribution. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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