Modeling of stress relaxation associated with an electrically-induced phase transformation

DOI10.1007/BF00952084zbMath0820.73063OpenAlexW2010329043MaRDI QIDQ1804272

Qing Jiang

Publication date: 26 September 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00952084

zbMATH Keywords

kinetic relationnonlinear ordinary differential equationcritical electric fieldferroelectric crystal bar

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Electromagnetic effects in solid mechanics (74F15) Statistical mechanics of ferroelectrics (82D45)

Cites Work

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• Numerical studies of loss of ellipticity near singularities in an elastic material
• Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid
• On the dissipative response due to discontinuous strains in bars of unstable elastic material
• A continuum model of a thermoelastic solid capable of undergoing phase transitions
• Energy minimization and the formation of microstructure in dynamic anti- plane shear
• On the modeling of thermo-mechanical phase transformations in solids
• Macroscopic behavior of a bar undergoing the paraelectric-ferroelectric phase transformation
• On the driving traction acting on a surface of discontinuity within a continuum in the presence of electromagnetic fields
• Effect of a Two-Dimensional Pressure on the Curie Point of Barium Titanate

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