Abstract

Size-dependent buckling analysis for slightly curved sandwich microbeams made of functionally graded (FG) materials is performed via a stress-driven nonlocal model. The Fredholm integral constitutive equations are transformed into the Volterra type of the first kind and then solved analytically using the Laplace transformation and its inversion under different boundary conditions. The exact solutions are validated against those existing results. The effect of the nonlocal parameter, thickness ratio of core-to-skin layers, FG power-law index, and length-height ratio on the buckling loads, as well as on the ratio of the result predicted by two common beam-theories is investigated.

摘要

通过应力驱动的非局部模型对由功能梯度 (FG) 材料制成的微弯曲夹层微梁进行尺寸相关屈曲分析。将 Fredholm 积分本构方程转化为第一类 Volterra 型，然后在不同边界条件下使用拉普拉斯变换及其反演进行解析求解。确切的解决方案将根据这些现有结果进行验证。非局部参数、芯皮层厚度比、FG 幂律指数和长高比对屈曲载荷的影响，以及对两种常见梁理论预测结果的比值的影响为进行了调查。