圣维南原理与双层平板复合材料的层间弹性耦合

Saint-Venant's Principle and Interlayer Elastic Coupling in Bilayer Composites of Ferroelectric/Elastic Medium

研究了铁磁(电)/弹性介质双层复合材料中的层间弹性耦合,分析了圣维南原理(或局部作用原理)对理想弹性耦合条件下弹性介质内应力分布的影响.从弹性力学基本方程出发得到了切应力和张应力在弹性体内分布的解析模型.建议了一种用于研究局部作用原理的实验方法,该实验方法以应力双折射效应为基础,结合磁(电)致伸缩,构成乘积效应材料,并辅以应力计检测.分析发现,实验与理论结果基本一致.

The interlayer elastic coupling in bilayer composite of ferromagnetic and elastic medium was studied. The effect of Saint-Venant＇s principle on the stress distribution in the elastic material under the condition of interfacial elastic coupling was derived based on the basic equations of elasticity. An experimental method has been suggested for investing the local-action effect. The method is based on stress-birefringence effects,combined with magnetostriction（or electostriction）effects to compose the materials of product effects,and assisted by standard stress meter detection.Analysis showed that the theoretical calculations in general accord with the experimental results.