• Corpus ID: 218570943

# Two-well linearization for solid-solid phase transitions

@article{Davoli2020TwowellLF,
title={Two-well linearization for solid-solid phase transitions},
author={Elisa Davoli and Manuel Friedrich},
journal={arXiv: Analysis of PDEs},
year={2020}
}
• Published 8 May 2020
• Mathematics
• arXiv: Analysis of PDEs
In this paper we consider nonlinearly elastic, frame-indifferent, and singularly perturbed two-well models for materials undergoing solid-solid phase transitions in any space dimensions, and we perform a simultaneous passage to sharp-interface and small-strain limits. Sequences of deformations with equibounded energies are decomposed via suitable Caccioppoli partitions into the sum of piecewise constant rigid movements and suitably rescaled displacements. These converge to limiting partitions…
4 Citations

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