Nucleation barriers at corners for a cubic-to-tetragonal phase transformation

DOI10.1017/S0308210515000086zbMath1327.74126arXiv1311.5870MaRDI QIDQ3452140

Peter Bella, Michael Goldman

Publication date: 18 November 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5870

zbMATH Keywords

shape memory alloysscaling lawcubic-to-tetragonal phase transformation

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Energy minimization in equilibrium problems in solid mechanics (74G65)

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Cites Work

• Unnamed Item
• A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy
• A rigidity result for a perturbation of the geometrically linear three‐well problem
• Surface energy and microstructure in coherent phase transitions
• Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation
• Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor

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