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A modified couple stress model for bending analysis of composite laminated beams with first order shear deformation *

机译:用于一阶剪切变形的复合层合梁弯曲分析的改进耦合应力模型*

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摘要

Based on a modified couple stress theory, a model for composite laminated beam with first order shear deformation is developed. The characteristics of the theory are the use of rotation-displacement as dependent variable and the use of only one constant to describe the material's micro-structural characteristics. The present model of beam can be viewed as a simplified couple stress theory in engineering mechanics. An example as a cross-ply simply supported beam subjected to cylindrical bending loads of f_w = qosin(πx/L) is adopted and explicit expression of analysis solution is obtained. Numerical results show that the present beam model can capture the scale effects of microstructure, and the deflections and stresses of the present model of couple stress beam are smaller than that by the classical beam mode. Additionally, the present model can be reduced to the classical composite laminated Timoshenko beam model, Isotropic Timoshenko beam model of couple stress theory, classical isotropic Timoshenko beam, composite laminated Bernoulli-Euler beam model of couple stress theory and isotropic Bernoulli-Euler beam of couple stress theory.
机译:基于改进的耦合应力理论,建立了一阶剪切变形的复合层合梁模型。该理论的特征是使用旋转位移作为因变量,并且仅使用一个常数来描述材料的微观结构特征。梁的当前模型可以看作是工程力学中的简化偶应力理论。以f_w = qosin(πx/ L)的圆柱弯曲载荷为基础的交叉单层简支梁为例,获得了解析解的明确表示。数值结果表明,该梁模型能够捕捉到微观结构的尺度效应,并且该模型的耦合应力梁的挠度和应力均小于经典梁模型的挠度和应力。另外,本模型可以简化为经典复合叠层Timoshenko梁模型,各向同性Timoshenko梁模型,经典各向同性Timoshenko梁,复合叠层Bernoulli-Euler耦合应力理论模型和各向同性Bernoulli-Euler偶合模型。压力理论。

著录项

  • 来源
    《Composite Structures》 |2011年第11期|p.2723-2732|共10页
  • 作者

    Wanji Chen; Li Li; Ma Xu;

  • 作者单位

    State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China,Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation, Shenyang Aerospace University, Shenyang, LN 110136, China;

    State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China,Physics and Biophysics Department, China Medical University, No. 92, The 2nd North Road. Heping District, Shenyang 110001, China;

    State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, 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

    composite laminated; timoshenko bending beam; modified couple stress theory; material length parameter; scale effect;

    机译:复合材料层合;蒂莫申科弯曲梁;修正偶应力理论;材料长度参数;尺度效应;

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