Kumar Raushan, Kumar Ajay, Andrzejuk Wojciech, Szafraniec Małgorzata, Barnat-Hunek Danuta
Department of Civil Engineering, Gaya College of Engineering, Gaya 823003, India.
Department of Civil Engineering, National Institute of Technology Delhi, Delhi 110036, India.
Materials (Basel). 2024 May 13;17(10):2308. doi: 10.3390/ma17102308.
Bending analysis was carried out for a laminated composite porous plate due to sinusoidal loading with various boundary conditions using improved third-order theory. Zero transverse shear stress provided a free surface at the top and bottom of the plate. Also, the authors developed a finite element formulation based on improved third-order shear deformation theory. To circumvent the C1 continuity requirement associated with improved third-order shear deformation theory, a C0 FE formulation was developed by replacing the out-of-plane derivatives with independent field variables. An in-house FORTRAN code was developed for the bending analysis of the laminated porous plate considering a 2D finite element model. The complete thickness of the plate was covered with different porosity patterns. The impacts of various modulus ratios, boundary conditions, thickness ratios, fiber orientation angles, and material parameters were examined for laminated porous plates. There was an 18.8% reduction in deflection in the case of the square plate as compared to rectangular plates, with a porosity value of 0.1, a thickness ratio of 10, and an orientation angle of 0°/90°/0°. According to the current research, adding porosities causes a relatively greater change in deflection rather than stress, thereby aiding in the development of a lightweight structure.
使用改进的三阶理论，对具有各种边界条件的层合复合多孔板在正弦载荷作用下进行了弯曲分析。零横向剪应力在板的顶部和底部提供了自由表面。此外，作者基于改进的三阶剪切变形理论开发了有限元公式。为了规避与改进的三阶剪切变形理论相关的C1连续性要求，通过用独立场变量替换面外导数，开发了一种C0有限元公式。针对二维有限元模型，开发了一个内部FORTRAN代码用于层合多孔板的弯曲分析。板的整个厚度覆盖有不同的孔隙率模式。研究了各种模量比、边界条件、厚度比、纤维取向角和材料参数对层合多孔板的影响。在孔隙率值为0.1、厚度比为10且取向角为0°/90°/0°的情况下，方形板的挠度与矩形板相比降低了18.8%。根据当前研究，添加孔隙率会导致挠度的变化相对大于应力的变化，从而有助于开发轻质结构。
