Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels

Q4 Chemical Engineering Applied and Computational Mechanics Pub Date : 2023-01-01 DOI:10.24132/acm.2023.808
A. S. Sayyad, Shailesh Palekar, B. M. Shinde
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引用次数: 0

Abstract

In this study, the authors analyze laminated composite panels supported on an elastic foundation considering the effects of transverse normal strain. A 2-parameter, i.e., Winkler and Pasternak foundation model is assumed to represent the interaction between the panels and the foundation. The theory presented here takes into account the effects of transverse shear and normal strains. The theory plots realistic distributions of the transverse shear stress through the plate thickness and satisfies the shear-free conditions at the extreme surfaces of the panel. The differential equations of the present model are obtained from the principle of virtual work. The laminated composite panel resting on the elastic foundation is analyzed for simply supported boundary conditions. For the verification purpose, the presented problems are also solved using the Reddy's model, Mindlin's model, and the classical model. Good agreement is observed between the numerical results obtained using the present model and the other models.
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考虑横向法向应变和双参数弹性基础影响的层合板弯曲高阶计算模型
本文对考虑横向法向应变影响的弹性地基叠合板进行了分析。假设采用2参数即Winkler和Pasternak基础模型来表示面板与基础之间的相互作用。这里提出的理论考虑了横向剪切和正常应变的影响。该理论绘制了横向剪应力随板厚的真实分布,并满足板的极端表面无剪切条件。该模型的微分方程是根据虚功原理得到的。在简支边界条件下,对弹性基础上的复合材料层合板进行了分析。为了验证,本文还分别用Reddy模型、Mindlin模型和经典模型对所提出的问题进行了求解。用本模型得到的数值结果与其他模型吻合较好。
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来源期刊
Applied and Computational Mechanics
Applied and Computational Mechanics Engineering-Computational Mechanics
CiteScore
0.80
自引率
0.00%
发文量
10
审稿时长
14 weeks
期刊介绍: The ACM journal covers a broad spectrum of topics in all fields of applied and computational mechanics with special emphasis on mathematical modelling and numerical simulations with experimental support, if relevant. Our audience is the international scientific community, academics as well as engineers interested in such disciplines. Original research papers falling into the following areas are considered for possible publication: solid mechanics, mechanics of materials, thermodynamics, biomechanics and mechanobiology, fluid-structure interaction, dynamics of multibody systems, mechatronics, vibrations and waves, reliability and durability of structures, structural damage and fracture mechanics, heterogenous media and multiscale problems, structural mechanics, experimental methods in mechanics. This list is neither exhaustive nor fixed.
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