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A novel shear deformation theory for static analysis of functionally graded plates

机译：一种新型剪切变形理论，用于静态分析功能分析板

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摘要

A new generalized 5-variable shear deformation theory is proposed to calculate the static response of functionally graded plates. A small exponential function with a shape parameter m is multiplied to a classical trigonometric shear strain shape function to make more accurate distribution of the transverse shear strain in the thickness direction of the functionally graded plates. The novelty of this work is that the shear strain function with the shape parameter m is assumed to vary with power-law indexes. Golden section search is used to determine the values of the optimal shape parameter mop. The present shear strain shape function satisfies the stress free condition at top and bottom surfaces without using any transverse shear correction factors. The governing equations and boundary conditions are derived from the Hamilton principle, and the closed form solutions of Navier-type under simply supported boundary conditions are obtained. The accuracy of the proposed theory is verified by comparing the results of numerical examples with the other existing 2D and quasi-3D solutions. The effect of gradient index, side-to-thickness ratio and aspect ratio on the static response is also studied.
机译：提出了一种新的广义的5变量剪切变形理论来计算功能梯度板的静态响应。具有形状参数M的小指数函数乘以经典三角剪切应变形状的功能，以使功能梯形板的厚度方向上的横向剪切应变的更精确分布。这项工作的新颖之处在于假设具有形状参数M的剪切应变功能，以随着功率法指标而变化。 Golden Section搜索用于确定最佳形状参数MOP的值。本剪切应变形状函数在顶部和底表面上满足压力的条件，而不使用任何横向剪切校正因子。管理方程和边界条件源自汉密尔顿原理，并获得了在简单地支持的边界条件下的Navier型封闭式溶液。通过将数值示例的结果与其他现有的2D和准3D解决方案进行比较来验证所提出的理论的准确性。还研究了梯度指数，侧向厚度比和纵横比对静态响应的影响。

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  • 来源
    《Composite Structures》 |2020年第10期|112559.1-112559.12|共12页
  • 作者

    Li Mengzhen; Guedes Soares C.; Yan Renjun;

  • 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;

    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;

  • 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

    Functionally graded material (FGM); Higher order theories; Bending; Generalized plate theory;

    机译：功能分级材料（FGM）;较高的阶理论;弯曲;广义板理论;

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