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首页> 外文期刊>Composite Structures >A nonlinear finite element model using a unified formulation for dynamic analysis of multilayer composite plate embedded with SMA wires
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A nonlinear finite element model using a unified formulation for dynamic analysis of multilayer composite plate embedded with SMA wires

机译：使用统一公式的非线性有限元模型用于SMA线嵌入的多层复合板的动力分析

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摘要

In this study, a new nonlinear finite element model is presented in the frame work of Carrera's Unified Formulation (CUF) for the dynamic analysis of SMA hybrid composite considering the instantaneous phase transformation and material nonlinearity effects, for every point on the plate. The CUF unify many theories in a unified form which can be differed by the order of expansion and definition of the variables in the thickness direction. The Brinson's SMA constitutive equation is used to model the behavior of SMA wires. The governing equations are derived using the Reissner Mixed Variational Theorem (RMVT) in order to enforce the interlaminar continuity of transverse shear and normal stresses between two adjacent layers. A transient finite-element-based method beside an iterative incremental procedure is presented to study the dynamic response of multilayered composite plate embedded with SMA wires. A suppressed vibration of the plate is observed, which is due to the energy dissipation of SMA wires. The parametric effects like length-to-thickness ratio, plate aspect ratio and also the effect of different boundary conditions, upon the loss factors are investigated. Results show that as the length-to-thickness ratio and also the plate aspect ratio increases, the loss factor decreases.
机译：在这项研究中，在Carrera统一公式（CUF）的框架中提出了一种新的非线性有限元模型，该模型针对SMA混合复合材料的动态分析，考虑了板上每个点的瞬时相变和材料非线性效应。 CUF以统一的形式统一了许多理论，这些理论可以根据厚度方向的扩展顺序和变量定义而有所不同。布林森的SMA本构方程用于对SMA导线的行为进行建模。使用Reissner混合变分定理（RMVT）导出控制方程，以增强两个相邻层之间的横向剪力和法向应力的层间连续性。提出了一种基于瞬态有限元的迭代增量方法，以研究嵌入SMA线的多层复合板的动力响应。观察到板的振动得到抑制，这是由于SMA线的能量耗散所致。研究了诸如长宽比，板高宽比之类的参数效应以及不同边界条件对损耗因子的影响。结果表明，随着长度/厚度比以及板长宽比的增加，损耗因子减小。

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