Mechanics of Advanced Materials and Structures ( IF 2.8 ) Pub Date : 2020-05-18 , DOI: 10.1080/15376494.2020.1762265 Zahra Nouri 1 , Saeid Sarrami-Foroushani 1 , Fatemeh Azhari 2 , Mojtaba Azhari 1
Abstract
This paper presents the static and mechanical buckling analyses of thick functionally graded (FG) plates. For this purpose, Carrera’s unified formulation (CUF) and the principle of virtual displacement are employed in the numerical finite strip method (FSM). CUF transforms the governing three-dimensional (3D) elasticity equations to quasi-3D ones by employing a set of thickness functions. Since this formulation is capable of considering the effects of shear deformations in a realistic manner, it is suitable for analyzing the structures in which these deformations play a major role and cannot be ignored. Another major advantage of CUF is that the governing equations are expressed in terms of a few fundamental nuclei, which are independent of the order of thickness functions used in the transverse direction and the description of the equivalent single layer or layer-wise variables. The accuracy of the proposed method is evaluated by comparing the obtained results with those available in the literature. The effect of various parameters such as boundary conditions, aspect ratio, plate thickness, and material distribution across the thickness of the plate are investigated.
中文翻译:
Carrera统一公式结合有限条带法在功能梯度板静力稳定性分析中的应用
摘要
本文介绍了厚功能梯度 (FG) 板的静态和机械屈曲分析。为此,在数值有限条带法(FSM)中采用了卡雷拉的统一公式(CUF)和虚位移原理。CUF 通过使用一组厚度函数将控制三维 (3D) 弹性方程转换为准 3D 弹性方程。由于该公式能够以现实的方式考虑剪切变形的影响,因此适用于分析这些变形起主要作用且不可忽视的结构。CUF 的另一个主要优点是控制方程用几个基本原子核表示,它们与横向使用的厚度函数的顺序以及等效单层或逐层变量的描述无关。通过将获得的结果与文献中可用的结果进行比较来评估所提出方法的准确性。研究了各种参数的影响,例如边界条件、纵横比、板厚和板厚上的材料分布。