A micro‐sphere approach applied to the modelling of phase‐transformations

<jats:title>Abstract</jats:title><jats:p>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 &amp; Co. KGaA, Weinheim)</jats:p>