The influence of a compressive stress on the nonlinear response of ferroelectric crystals

N. Srivastava, G. J. Weng

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The origin of nonlinearity in a ferroelectric crystal is domain reorientation, and such a process can be affected by the presence of a compressive stress. In this article we examine how a superimposed compression affects the evolution of new domain and how it changes the shape of the hysteresis loop. We start out by considering the thermodynamic driving force for domain reorientation, and then use a dual-phase homogenization theory to calculate the overall response. To uncover the influence of a compressive stress, the theory is used to calculate the hysteresis loop between the electric displacement D and the electric field E of a BaTiO3 crystal, first without and then with a compression, using a two-consecutive 90° switch model (i.e. 0° → 90° → 180°). It is found that, from the initial 0° position, the compressive stress will increase the thermodynamic driving force and promote an earlier onset of the 90° domain, but its presence will cause a significant delay for the reorientation process to pass through the intermediate 90° state in route to its final 180° configuration. The D vs. E loop then exhibits a more round shape and a lesser steep slope near the coercive field. The delayed passage and more rounded shape are found to be consistent with a recent experimental observation [Burcsu et al., 2004. J. Mech. Phys. Solids 52, 823-846].

Original languageEnglish (US)
Pages (from-to)1860-1873
Number of pages14
JournalInternational journal of plasticity
Volume23
Issue number10-11
DOIs
StatePublished - Oct 1 2007

Fingerprint

Compressive stress
Ferroelectric materials
Hysteresis loops
Crystals
Thermodynamics
Compaction
Switches
Electric fields

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Electromechanical coupling
  • Ferroelectric response
  • Influence of compressive stress
  • Irreversible thermodynamics
  • Micromechanics

Cite this

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The influence of a compressive stress on the nonlinear response of ferroelectric crystals. / Srivastava, N.; Weng, G. J.

In: International journal of plasticity, Vol. 23, No. 10-11, 01.10.2007, p. 1860-1873.

Research output: Contribution to journalArticle

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AB - The origin of nonlinearity in a ferroelectric crystal is domain reorientation, and such a process can be affected by the presence of a compressive stress. In this article we examine how a superimposed compression affects the evolution of new domain and how it changes the shape of the hysteresis loop. We start out by considering the thermodynamic driving force for domain reorientation, and then use a dual-phase homogenization theory to calculate the overall response. To uncover the influence of a compressive stress, the theory is used to calculate the hysteresis loop between the electric displacement D and the electric field E of a BaTiO3 crystal, first without and then with a compression, using a two-consecutive 90° switch model (i.e. 0° → 90° → 180°). It is found that, from the initial 0° position, the compressive stress will increase the thermodynamic driving force and promote an earlier onset of the 90° domain, but its presence will cause a significant delay for the reorientation process to pass through the intermediate 90° state in route to its final 180° configuration. The D vs. E loop then exhibits a more round shape and a lesser steep slope near the coercive field. The delayed passage and more rounded shape are found to be consistent with a recent experimental observation [Burcsu et al., 2004. J. Mech. Phys. Solids 52, 823-846].

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