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A thermodynamically consistent finite strain micro-sphere framework for phase-transformations

By Richard Ostwald, T. Bartel and A. Menzel


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

Topics: Materials Engineering, Finite strain, Micro-sphere, Phase-transformation
Publisher: National Technical University of Athens
Year: 2016
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