A computational micro‐sphere model applied to the simulation of phase‐transformations

<jats:title>Abstract</jats:title><jats:p>We present an efficient model for the simulation of polycrystalline materials undergoing solid to solid phase transformations. As a basis, we use a one‐dimensional, thermodynamically consistent phase‐transformation model. This model is embedded into a micro‐sphere formulation in order to simulate three‐dimensional boundary value problems. To solve the underlying evolution equations, we use a newly developed explicit integration scheme which could be proved to be unconditionally A‐stable. Besides the investigation of homogeneous deformation states, representative finite element examples are discussed. It is shown that the model nicely reflects the overall behaviour.</jats:p>