A general framework of higher-order shear deformation theories with a novel unified plate model for composite laminated and FGM plates

Li Mengzhen; Yan Renjun; Xu Lin; Soares C. Guedes

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A general framework of higher-order shear deformation theories with a novel unified plate model for composite laminated and FGM plates

机译：具有新型统一板材模型的高阶剪切变形理论的一般框架，用于复合层压和FGM板

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摘要

A novel unified framework of higher-order shear deformation theories is developed for modeling and analysis of laminated and functionally graded plates. The major objective of this study is to (1) unify all higher-order shear deformation plate theories in a unique formulation; (2) propose a new higher-order shear deformation model based on the unified plate model. In this study, the existing displacement fields in the equivalent single layer theories are classified into three categories based on the present unified method. Some of the existing equivalent single-layer plate theories are unified according to different types of transverse displacements and transverse shear strains based on the present method and several new plate theories are proposed and assessed. The Reddy shear strain function and a changeable shear function proposed by Li et al. are applied to represent the distribution of transverse shear strains through the thickness of composite laminated and FGM plates, respectively. One of the new higher-order shear deformation theory is then ascertained by comparing the obtained bending, free vibration and buckling results of composite laminated and FGM plates with other published ones. The results show that the unified plate model can theoretically cover all existing equivalent single-layer models and is able to encourage interested readers to search for more feasible and accurate plate theories.Y

机译：开发了一种新颖的统一剪切变形理论的框架，用于建模和分析层压和功能分级板。本研究的主要目标是（1）统一所有高阶剪切变形板理论在独特的配方中; （2）基于统一板模型提出新的高阶剪切变形模型。在本研究中，基于当前统一方法，等效单层理论中的现有位移场分为三类。根据本方法的不同类型的横向位移和横向剪切菌株统一一些现有的等效单层板理论，提出并评估了几种新的板理论。 Li等人提出的Reddy剪切应变功能和可变的剪切函数。应用于分别通过复合层压和FGM板的厚度代表横向剪切菌株的分布。然后通过将复合层压和FGM板与其他公开的弯曲，自由振动和屈曲结果进行比较来确定新的高阶剪切变形理论之一。结果表明，统一的板模型可以理论上可以覆盖所有现有的等效单层模型，并能够鼓励兴趣读者寻找更可行和准确的板理论.Y

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来源
《Composite Structures》 |2021年第4期|113560.1-113560.12|共12页
作者
Li Mengzhen; Yan Renjun; Xu Lin; Soares C. Guedes;
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作者单位

Wuhan Univ Technol Minist Educ Key Lab High Performance Ship Technol Wuhan 430063 Peoples R China|Wuhan Univ Technol Sch Transportat Wuhan 430063 Peoples R China|Univ Lisbon Ctr Marine Technol & Ocean Engn CENTEC Inst Super Tecn Ave Rovisco Pais P-1049001 Lisbon Portugal;

Wuhan Univ Technol Minist Educ Key Lab High Performance Ship Technol Wuhan 430063 Peoples R China|Wuhan Univ Technol Sch Transportat Wuhan 430063 Peoples R China;

Wuhan Univ Technol Minist Educ Key Lab High Performance Ship Technol Wuhan 430063 Peoples R China|Wuhan Univ Technol Sch Transportat Wuhan 430063 Peoples R China|Univ Lisbon Ctr Marine Technol & Ocean Engn CENTEC Inst Super Tecn Ave Rovisco Pais P-1049001 Lisbon Portugal;

Univ Lisbon Ctr Marine Technol & Ocean Engn CENTEC Inst Super Tecn Ave Rovisco Pais P-1049001 Lisbon Portugal;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
A unified formulation; Shear deformation plate theory; Bending; Vibration; Buckling;

机译：统一的配方;剪切变形板理论;弯曲;振动;屈曲;

A general framework of higher-order shear deformation theories with a novel unified plate model for composite laminated and FGM plates

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