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

TY - JOUR

T1 - The influence of a compressive stress on the nonlinear response of ferroelectric crystals

AU - Srivastava, N.

AU - Weng, G. J.

N1 - Funding Information: This work was supported by the National Science Foundation, under grants CMS-0510409.

PY - 2007/10

Y1 - 2007/10

N2 - 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].

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].

KW - Electromechanical coupling

KW - Ferroelectric response

KW - Influence of compressive stress

KW - Irreversible thermodynamics

KW - Micromechanics

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U2 - https://doi.org/10.1016/j.ijplas.2007.03.007

DO - https://doi.org/10.1016/j.ijplas.2007.03.007

M3 - Article

SN - 0749-6419

VL - 23

SP - 1860

EP - 1873

JO - International journal of plasticity

JF - International journal of plasticity

IS - 10-11

ER -