An alternative model for elastic bending deformation of multilayered beams
An alternative model for elastic bending deformation of multilayered beams
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DOI：
10.1063/1.2372578
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发表时间：
2006-11
影响因子：
3.2
通讯作者：
Neng-Hui Zhang;Jingjing Xing
中科院分区：
文献类型：
--
作者：
Neng-Hui Zhang;Jingjing Xing
根据零法向应变的质心主轴的法向应变和中性轴的曲率半径，导出了多层梁在残余应力和外弯曲作用下弹性变形的精确闭合解。得到了厚衬底上多层膜情况的两个近似模型。对于双层梁，精确解可以用膜与基板之间的失配应力、厚度比和模比来表示。对这两种近似进行了归约误差分析。
An exact closed-form solution for elastic deformation of multilayered beams due to residual stresses and external bending is derived in terms of the normal strain at the centroidal principal axis and the curvature radius of the neutral axis for zero normal strain. Two approximate models for the case of multilayered films on a thick substrate are obtained. For a bilayered beam, the exact solution can be expressed in terms of the mismatch stress between the film and the substrate, the thickness ratio, and the modulus ratio. The reduction error analysis for the two approximations is applied.