Size-dependent piezoelectricity and elasticity due to the electric field-strain gradient coupling and strain gradient elasticity
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- Size-dependent piezoelectricity and elasticity due to the electric field-strain gradient coupling and strain gradient elasticity
- 发表刊物：
- International Journal of Applied Mechanics
- 摘要：
- A size-dependent nonclassical Bernoulli–Euler beam model based on the strain gradient
elasticity is proposed for piezoelectric nanowires. The governing equations and the
corresponding boundary conditions are naturally derived from the variational principle.
Different from the classical piezoelectric beam theory, the electric field–strain gradient
coupling and the strain gradient elasticity are both taken into account. Static bending
problem of a cantilever piezoelectric nanobeam is solved to illustrate the effect of strain
gradient. The present model contains material length scale parameters and can capture
the size dependent piezoelectricity and elasticity for nanoscale piezoelectric structures.
The numerical results reveal that the deflections predicted by the present model are
smaller than that by the classical beam theory and the effective electromechanical coupling
coefficient is dramatic enhanced by the electric field–strain gradient coupling effect.
However, the differences in both the deflections and effective EMC coefficient between the
two models are very significant when the beam thickness is very small; they are diminishing
with the increase of the beam thickness. This model is helpful for understanding
the electromechanically coupling mechanism and in designing piezoelectric nanowires
based devices.
- 合写作者：
- Liang Xu, Shen Shengping
- 卷号：
- 5(2)
- 页面范围：
- 1135001
- 是否译文：
- 否
- 发表时间：
- 2013-10-13