Theory of strain phase separation and strain spinodal

Applications to ferroelastic and ferroelectric systems

Fei Xue, Yanzhou Ji, Long-qing Chen

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In the well-known phase decomposition process, a phase with a homogeneous composition separates into two phases with different local compositions that can be geometrically determined by the common tangent construction on the molar free energy versus composition curves. Here we consider an analogous phase destrain process in which a phase with a homogeneous strain separates into two phases with different local strains that can be geometrically determined by the common tangent construction on the volume free energy density versus strain curves. There is also a complete analogy between compositional and strain spinodals. Within the phase destrain model, we provide a general thermodynamic formulation for the phase rule, lever rule, equilibrium conditions of chemical potential, and coherent/incoherent strain spinodals. Using the cubic to tetragonal ferroelastic/ferroelectric transition as an example, we study the possible strain phase separation and spinodal phenomena, and calculate the strain-strain and strain-temperature phase diagrams for the first-order proper, first-order improper, and second-order improper ferroelastic transitions. The proposed phase destrain theory complements the existing compositional phase separation theory and can serve as guidance for the analysis and design of multi-domain/multi-phase structures during any phase transitions associated with structural changes.

Original languageEnglish (US)
Pages (from-to)147-159
Number of pages13
JournalActa Materialia
Volume133
DOIs
StatePublished - Jul 1 2017

Fingerprint

Phase separation
Ferroelectric materials
Free energy
Chemical analysis
Chemical potential
Phase structure
Phase diagrams
Phase transitions
Thermodynamics
Decomposition

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys

Cite this

@article{c8e20690f48f440186397caea6276871,
title = "Theory of strain phase separation and strain spinodal: Applications to ferroelastic and ferroelectric systems",
abstract = "In the well-known phase decomposition process, a phase with a homogeneous composition separates into two phases with different local compositions that can be geometrically determined by the common tangent construction on the molar free energy versus composition curves. Here we consider an analogous phase destrain process in which a phase with a homogeneous strain separates into two phases with different local strains that can be geometrically determined by the common tangent construction on the volume free energy density versus strain curves. There is also a complete analogy between compositional and strain spinodals. Within the phase destrain model, we provide a general thermodynamic formulation for the phase rule, lever rule, equilibrium conditions of chemical potential, and coherent/incoherent strain spinodals. Using the cubic to tetragonal ferroelastic/ferroelectric transition as an example, we study the possible strain phase separation and spinodal phenomena, and calculate the strain-strain and strain-temperature phase diagrams for the first-order proper, first-order improper, and second-order improper ferroelastic transitions. The proposed phase destrain theory complements the existing compositional phase separation theory and can serve as guidance for the analysis and design of multi-domain/multi-phase structures during any phase transitions associated with structural changes.",
author = "Fei Xue and Yanzhou Ji and Long-qing Chen",
year = "2017",
month = "7",
day = "1",
doi = "10.1016/j.actamat.2017.05.028",
language = "English (US)",
volume = "133",
pages = "147--159",
journal = "Acta Materialia",
issn = "1359-6454",
publisher = "Elsevier Limited",

}

Theory of strain phase separation and strain spinodal : Applications to ferroelastic and ferroelectric systems. / Xue, Fei; Ji, Yanzhou; Chen, Long-qing.

In: Acta Materialia, Vol. 133, 01.07.2017, p. 147-159.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Theory of strain phase separation and strain spinodal

T2 - Applications to ferroelastic and ferroelectric systems

AU - Xue, Fei

AU - Ji, Yanzhou

AU - Chen, Long-qing

PY - 2017/7/1

Y1 - 2017/7/1

N2 - In the well-known phase decomposition process, a phase with a homogeneous composition separates into two phases with different local compositions that can be geometrically determined by the common tangent construction on the molar free energy versus composition curves. Here we consider an analogous phase destrain process in which a phase with a homogeneous strain separates into two phases with different local strains that can be geometrically determined by the common tangent construction on the volume free energy density versus strain curves. There is also a complete analogy between compositional and strain spinodals. Within the phase destrain model, we provide a general thermodynamic formulation for the phase rule, lever rule, equilibrium conditions of chemical potential, and coherent/incoherent strain spinodals. Using the cubic to tetragonal ferroelastic/ferroelectric transition as an example, we study the possible strain phase separation and spinodal phenomena, and calculate the strain-strain and strain-temperature phase diagrams for the first-order proper, first-order improper, and second-order improper ferroelastic transitions. The proposed phase destrain theory complements the existing compositional phase separation theory and can serve as guidance for the analysis and design of multi-domain/multi-phase structures during any phase transitions associated with structural changes.

AB - In the well-known phase decomposition process, a phase with a homogeneous composition separates into two phases with different local compositions that can be geometrically determined by the common tangent construction on the molar free energy versus composition curves. Here we consider an analogous phase destrain process in which a phase with a homogeneous strain separates into two phases with different local strains that can be geometrically determined by the common tangent construction on the volume free energy density versus strain curves. There is also a complete analogy between compositional and strain spinodals. Within the phase destrain model, we provide a general thermodynamic formulation for the phase rule, lever rule, equilibrium conditions of chemical potential, and coherent/incoherent strain spinodals. Using the cubic to tetragonal ferroelastic/ferroelectric transition as an example, we study the possible strain phase separation and spinodal phenomena, and calculate the strain-strain and strain-temperature phase diagrams for the first-order proper, first-order improper, and second-order improper ferroelastic transitions. The proposed phase destrain theory complements the existing compositional phase separation theory and can serve as guidance for the analysis and design of multi-domain/multi-phase structures during any phase transitions associated with structural changes.

UR - http://www.scopus.com/inward/record.url?scp=85019634184&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019634184&partnerID=8YFLogxK

U2 - 10.1016/j.actamat.2017.05.028

DO - 10.1016/j.actamat.2017.05.028

M3 - Article

VL - 133

SP - 147

EP - 159

JO - Acta Materialia

JF - Acta Materialia

SN - 1359-6454

ER -