边值问题
板块理论
位移场
屈曲
振动
剪切(地质)
板的振动
Timoshenko梁理论
数学
变形(气象学)
数学分析
结构工程
材料科学
物理
复合材料
有限元法
工程类
量子力学
作者
Mohamed Rabhi,Kouider Halim Benrahou,Abdelhakim Kaci,Mohammed Sid Ahmed Houari,Fouad Bourada,Abdelmoumen Anis Bousahla,Abdeldjebbar Tounsi,E.A. Adda Bedia,S.R. Mahmoud,Abdelouahed Tounsi
出处
期刊:Geomechanics and Engineering
[Techno-Press]
日期:2020-01-01
卷期号:22 (2): 119-
被引量:11
标识
DOI:10.12989/gae.2020.22.2.119
摘要
In this study a new innovative three unknowns trigonometric shear deformation theory is proposed for the buckling and vibration responses of exponentially graded sandwich plates resting on elastic mediums under various boundary conditions. The key feature of this theoretical formulation is that, in addition to considering shear deformation effect, it has only three unknowns in the displacement field as in the case of the classical plate theory (CPT), contrary to five as in the first shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). Material characteristics of the sandwich plate faces are considered to vary within the thickness direction via an exponential law distribution as a function of the volume fractions of the constituents. Equations of motion are obtained by employing Hamilton\'s principle. Numerical results for buckling and free vibration analysis of exponentially graded sandwich plates under various boundary conditions are obtained and discussed. Verification studies confirmed that the present three -unknown shear deformation theory is comparable with higher-order shear deformation theories which contain a greater number of unknowns.
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