一种用于二维（2D）晶格材料微观结构相关分析的精确有限元公式。

A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials.

作者信息

Mancusi Geminiano, Feo Luciano

机构信息

Department of Civil Engineering, University of Salerno, Fisciano 84084, Italy.

出版信息

Materials (Basel). 2012 Dec 20;6(1):1-17. doi: 10.3390/ma6010001.

DOI:10.3390/ma6010001

PMID:28809291

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5452127/

Abstract

A finite element approximation is proposed for the dynamic analysis of two-dimensional (2D) lattice materials. The unit cell is modeled by means of a defined number of shear deformable micro-beams. The main innovative feature concerns the presence of a microstructure-dependent scale length, which allows the consideration of the so called size-effect that can be highly relevant, due to the characteristics of the lattice at the local scale. Some numerical results show the influence of the microstructure parameter on the dynamic behavior of two-dimensional lattice materials.

摘要

本文提出了一种用于二维晶格材料动力学分析的有限元近似方法。通过定义数量的剪切可变形微梁对单胞进行建模。主要创新点在于引入了与微观结构相关的尺度长度，这使得能够考虑所谓的尺寸效应，由于晶格在局部尺度的特性，该效应可能具有高度相关性。一些数值结果显示了微观结构参数对二维晶格材料动力学行为的影响。