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首页> 外文期刊>Continuum mechanics and thermodynamics >Band gaps for flexural elastic wave propagation in periodic composite plate structures based on a non-classical Mindlin plate model incorporating microstructure and surface energy effects
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Band gaps for flexural elastic wave propagation in periodic composite plate structures based on a non-classical Mindlin plate model incorporating microstructure and surface energy effects

机译：基于非经典思维板模型的周期复合板结构中的弯曲弹性波传播的带隙，包括组织和表面能效应

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摘要

A new model for determining band gaps for flexural elastic wave propagation in periodic composite plate structures containing square and cruciform inclusions is developed using a non-classical Mindlin plate model incorporating the microstructure and surface energy effects. The new model reduces to the classical elasticity-based counterpart when both the microstructure and surface energy effects are not considered. The plane wave expansion method and the Bloch theorem for periodic media are used in the formulation. The band gaps predicted by the newly developed model depend on the microstructure and surface elasticity of each constituent material, the unit cell size, and the volume fraction. To quantitatively illustrate the effects of these factors, a parametric study is conducted. The numerical results reveal that the microstructure and surface energy effects on the band gaps are significant only when the plate thickness is small. In addition, it is found that the first band gap size decreases with the increase of the unit cell length according to both the current non-classical and classical models. Moreover, it is seen that the volume fraction has a significant effect on the first band gap size, and large band gaps can be obtained by tailoring the volume fraction and inclusion shape.
机译：使用非经典思路板模型，开发了一种用于定期复合板结构中的用于周期性复合板结构的弯曲弹性波传播的带空隙的新模型，包括结合微观结构和表面能效应。当不考虑微观结构和表面能效应时，新模型减少到基于经典弹性的对应物。在配方中使用平面波扩展方法和周期性介质的BLOCH定理。新开发模型预测的带间隙取决于每个组成材料，单位电池尺寸和体积分数的微观结构和表面弹性。为了定量地说明这些因素的效果，进行参数研究。数值结果表明，仅当板厚度较小时，带间隙上的微观结构和表面能效应是显着的。另外，发现第一带隙大小随根据当前非经典和经典模型的单位电池长度的增加而降低。此外，可以看出，体积馏分对第一带隙尺寸具有显着影响，并且可以通过定制体积分数和夹杂物形状来获得大带间隙。

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