An enhanced inverse finite element method for displacement and stress monitoring of multilayered composite and sandwich structures
An enhanced inverse finite element method for displacement and stress monitoring of multilayered composite and sandwich structures
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DOI：
10.1016/j.compstruct.2017.07.078
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发表时间：
2017-11-01
影响因子：
6.3
通讯作者：
Oterkus, Erkan
中科院分区：
文献类型：
--
作者：
Kefal, Adnan;Tessler, Alexander;Oterkus, Erkan
逆有限元法（iFEM）是一种创新的框架，用于动态跟踪装有应变传感器网络的结构中的全场结构位移和应力。在这项研究中，提出了一种改进的iFEM格式的复合材料层合板和夹层板壳的位移和应力监测。该公式包括精炼曲折理论（RZT）的运动学作为其基线。本iFEM方法最小化加权最小二乘功能，使用完整的应变测量RZT。目前制定的主要优点是，高度精确的通过厚度分布的位移，应变和应力是可以实现的使用一个简单的C-0连续位移插值函数的基础上的元素。此外，需要相对少量的应变计。提出了一种三节点反壳单元i3-RZT。文中详细讨论了两个算例：（1）简支矩形层合板和（2）一端固支开孔的楔形结构。数值结果表明，i3-RZT/iFEM方法具有上级性能和潜在的适用性，可用于复杂复合材料结构的精确形状和应力传感。(C)2017爱思唯尔有限公司版权所有
The inverse finite element method (iFEM) is an innovative framework for dynamic tracking of full-field structural displacements and stresses in structures that are instrumented with a network of strain sensors. In this study, an improved iFEM formulation is proposed for displacement and stress monitoring of laminated composite and sandwich plates and shells. The formulation includes the kinematics of Refined Zigzag Theory (RZT) as its baseline. The present iFEM methodology minimizes a weighted-least-squares functional that uses the complete set of strain measures of RZT. The main advantage of the current formulation is that highly accurate through-the-thickness distributions of displacements, strains, and stresses are attainable using an element based on simple C-0-continuous displacement interpolation functions. Moreover, a relatively small number of strain gauges is required. A three-node inverse-shell element, named i3-RZT, is developed. Two example problems are examined in detail: (1) a simply supported rectangular laminated composite plate and (2) a wedge structure with a hole near one of the clamped ends. The numerical results demonstrate the superior capability and potential applicability of the i3-RZT/iFEM methodology for performing accurate shape and stress sensing of complex composite structures. (C) 2017 Elsevier Ltd. All rights reserved.