A continuum theory of deformable, semiconducting ferroelectrics

DOI10.1007/s00205-007-0096-yzbMath1140.74012OpenAlexW2028623175WikidataQ59718140 ScholiaQ59718140MaRDI QIDQ934907

Kaushik Bhattacharya, Yu Xiao

Publication date: 30 July 2008

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-007-0096-y

zbMATH Keywords

barium titanateoxygen vacanciesdopant densityspace charges

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Statistical mechanics of semiconductors (82D37) Statistical mechanics of ferroelectrics (82D45)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The thermodynamics of elastic materials with heat conduction and viscosity
• Applications of semi-implicit Fourier-spectral method to phase field equations
• Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape memory cantilever
• HANS BETHE'S CONTRIBUTIONS TO SOLID-STATE PHYSICS

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