Numerical plate testing for linear two‐scale analyses of composite plates with in‐plane periodicity
Numerical plate testing for linear two‐scale analyses of composite plates with in‐plane periodicity
复制标题
具有面内周期性的复合板线性双尺度分析的数值板测试
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
S. Nishi
中科院分区：
文献类型：
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作者：
K. Terada;N. Hirayama;Koji Yamamoto;M. Muramatsu;S. Matsubara;S. Nishi
提出了一种用于平面内周期性非均匀复合材料板的数值板试验方法。在双尺度边值问题中，在宏观尺度上采用厚板模型，而在微观尺度上假设三维固体。NPT与均匀化分析无异，实际上是对一个单元格进行的一系列微观分析，用于评估宏观板刚度。提出了微观位移的具体函数形式，使宏观合力应力/力矩与应变/曲率之间的关系与微观平衡状态相一致。为了使用通用有限元程序执行NPT，我们引入了控制节点，以方便面内周期性的多点约束。数值算例验证了NPT方法能够再现经典板和层合板理论中的板刚度。我们还进行了一系列的均匀化，宏观和局部化分析的平面内异质复合材料板，以证明所提出的方法的性能。版权所有© 2015约翰威利父子有限公司.
A method of numerical plate testing (NPT) for composite plates with in‐plane periodic heterogeneity is proposed. In the two‐scale boundary value problem, a thick plate model is employed at macroscale, while three‐dimensional solids are assumed at microscale. The NPT, which is nothing more or less than the homogenization analysis, is in fact a series of microscopic analyses on a unit cell that evaluates the macroscopic plate stiffnesses. The specific functional forms of microscopic displacements are originally presented so that the relationship between the macroscopic resultant stresses/moments and strains/curvatures to be consistent with the microscopic equilibrated state. In order to perform NPT by using general‐purpose FEM programs, we introduce control nodes to facilitate the multiple‐point constraints for in‐plane periodicity. Numerical examples are presented to verify that the proposed method of NPT reproduces the plate stiffnesses in classical plate and laminate theories. We also perform a series of homogenization, macroscopic, and localization analyses for an in‐plane heterogeneous composite plate to demonstrate the performance of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd.