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Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials 期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
作者:  Ma, Qiang;  Ye, Shuyu;  Cui, Junzhi;  Yang, Zhiqiang;  Jiang, Xue;  Li, Zhihui
收藏  |  浏览/下载：200/0  |  提交时间：2021/04/26
Hierarchically perforated structure  Successive two-scale asymptotic analysis  Neumann-type elliptic eigenvalue problem  Second-order two-scale and three-scale  asymptotic computations  Finite element simulation  
A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 425, 页码: 25
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Ma, Qiang
收藏  |  浏览/下载：166/0  |  提交时间：2021/04/26
HTRH algorithms  Reduced order homogenization  Micro-meso-macro formulations  Multiple configurations  
Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 689-731
作者:  Ma, Qiang;  Wang, Hao;  Yang, Zhiqiang;  Li, Zhihui;  Cui, Junzhi
收藏  |  浏览/下载：193/0  |  提交时间：2020/05/24
Axially and spherically symmetric piezoelectricity  Periodic composite materials  Multi-scale expansion homogenization method  Second-order asymptotic approximation  Finite element simulation