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Exact solution for nonlinear thermal stability of hybrid laminated composite Timoshenko beams reinforced with SMA fibers

机译：SMA纤维增强混合叠合Timoshenko梁非线性热稳定性的精确解。

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摘要

Post-buckling behavior of Shape Memory Alloy (SMA) hybrid composite laminated beams under uniform heating is investigated in this paper. Properties of the constituents are temperature-dependent. The von-Karman type of geometrical non-linearity suitable for small strains and moderate rotations is taken into account. Displacement field through the beam obeys the kinematics of first order shear deformation theory of Timoshenko. To model the SMA fibers, the one-dimensional thermomechanical constitutive law proposed earlier by Brinson (1993), is implemented. These basic assumptions are incorporated with the static version of virtual displacements to extract the nonlinear governing equations of the beam. The resulting system of nonlinear equations are uncoupled and solved analytically. Closed-form expressions are presented to trace the deflection-temperature as well as bending moment-temperature and end-shortening force-temperature in heating process. After validating the proposed approach, various parametric studies are performed to study the influence of lay-up, SMA volume fraction, SMA prestrain, boundary condition, and thickness of the layer in which SMA fibers are embedded. Fascinating results are extracted due to the recovery stress of SMA fibers.
机译：研究了形状记忆合金（SMA）混合复合材料层合梁在均匀加热下的后屈曲行为。成分的性质取决于温度。考虑了适用于小应变和适度旋转的von-Karman型几何非线性。穿过梁的位移场遵循蒂莫申科的一阶剪切变形理论的运动学。为了模拟SMA纤维，实施了Brinson（1993）先前提出的一维热机械本构定律。这些基本假设与虚拟位移的静态版本合并在一起，以提取梁的非线性控制方程。所得的非线性方程组将解耦并进行解析求解。给出了封闭形式的表达式，以追踪加热过程中的挠曲温度，弯矩温度和缩短端力的温度。在验证了所提出的方法后，进行了各种参数研究，以研究铺网，SMA体积分数，SMA预应变，边界条件以及嵌入SMA纤维的层的厚度的影响。由于SMA纤维的恢复应力，提取出了令人着迷的结果。

著录项

  • 来源
    《Composite Structures》 |2014年第2期|811-822|共12页
  • 作者

    H. Asadi; Y. Kiani; M. Shakeri; M.R. Eslami;

  • 作者单位

    Thermoelasticity Center of Excellence, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran;

    Thermoelasticity Center of Excellence, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran;

    Thermoelasticity Center of Excellence, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran;

    Thermoelasticity Center of Excellence, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran;

  • 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

    Shape memory alloy; SMA Brinson model; Nonlinear thermal stability; Thermal buckling; Exact solution;

    机译：形状记忆合金;SMA布林森模型;非线性热稳定性;热屈曲;确切的解决方案;

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