# Thermodynamic Modeling of Hysteresis Effects in Piezoceramics for Application to Smart Structures

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### Cites background or methods from "Thermodynamic Modeling of Hysteresi..."

...The material considered for the study is PZT-5H and values of all material constants used for generating the hysteresis loops are listed in the Tables 1–3 [15]....

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...Using the expression for and by neglecting temperature effects, the set of constitutive relations representing electroelastic process including electric hysteresis effects can be written as [15]...

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...Nonlinear Constitutive Relations and Governing Equations For obtaining the constitutive relations, the free energy is expressed as a quadratic function of all state variables and quartic functions of strain and electric field [15]:...

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...[15] have derived the electrothermoelastic constitutive relations for the piezo materials including the hysteresis effects by following fundamental principles of physics....

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##### References

203 citations

### "Thermodynamic Modeling of Hysteresi..." refers methods in this paper

...The microscopic models of hysteresis can be categorized as 1) polarization switching based on the Eshelby inclusion model [10], 2) crystal-plasticity-based nonlinear switching models [11], 3) free-energy-based domain-switching model [12], and 4) dipole–dipole interaction models with threshold-switching energy given by the time-dependent Ginzburg–Landau model [13,14] or the Landau–Devonshire model [15,16]....

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191 citations

### "Thermodynamic Modeling of Hysteresi..." refers methods in this paper

...The microscopic models of hysteresis can be categorized as 1) polarization switching based on the Eshelby inclusion model [10], 2) crystal-plasticity-based nonlinear switching models [11], 3) free-energy-based domain-switching model [12], and 4) dipole–dipole interaction models with threshold-switching energy given by the time-dependent Ginzburg–Landau model [13,14] or the Landau–Devonshire model [15,16]....

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184 citations

### "Thermodynamic Modeling of Hysteresi..." refers methods in this paper

...The microscopic models of hysteresis can be categorized as 1) polarization switching based on the Eshelby inclusion model [10], 2) crystal-plasticity-based nonlinear switching models [11], 3) free-energy-based domain-switching model [12], and 4) dipole–dipole interaction models with threshold-switching energy given by the time-dependent Ginzburg–Landau model [13,14] or the Landau–Devonshire model [15,16]....

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179 citations

### "Thermodynamic Modeling of Hysteresi..." refers methods in this paper

...A similar approach was followed by McMeeking and Landis [25] in modeling domain switching in ferroelectric materials....

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176 citations