Elastodynamics of strongly heterogeneous periodic plates using Reissner-Mindlin and Kirchhoff-Love models

Rohan Eduard; Miara Bernadette

首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Elastodynamics of strongly heterogeneous periodic plates using Reissner-Mindlin and Kirchhoff-Love models

【24h】

Elastodynamics of strongly heterogeneous periodic plates using Reissner-Mindlin and Kirchhoff-Love models

机译：使用Reissner-Mindlin和Kirchhoff-Love模型的强异质周期板的弹性动力学

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The paper deals with the homogenization of strongly heterogeneous elastic plates satisfying the Reissner-Mindlin or the Kirchhoff-Love hypotheses. We rigorously justify the limit models obtained by the asymptotic analysis which describe the harmonic waves propagation associated with in-plane displacement and transversal deflection modes in these two classical plate structures. Large contrasts in the coefficients of the elastic material components may result in existence of band gaps for the limit Reissner-Mindlin plates while an analogous property is lost for the deflection of the Kirchhoff-Love model. The different dispersion properties of both the limit plates are related to the changing sign of the limit frequency dependent mass density coefficients. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

机译：本文涉及满足Reissner-Mindlin或Kirchhoff-Love假设的强异质弹性板的均质化。我们严格地证明了通过渐近分析获得的极限模型，该极限模型描述了在这两种经典板结构中与面内位移和横向偏转模式相关的谐波传播。弹性材料成分系数的较大差异可能会导致极限Reissner-Mindlin板存在带隙，而Kirchhoff-Love模型的挠度却失去了类似的特性。两个极限板的不同色散特性与极限频率相关的质量密度系数的变化符号有关。（C）2015 WILEY-VCH Verlag GmbH＆Co.KGaA，Weinheim

著录项

来源
《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2016年第3期|共23页
作者
Rohan Eduard; Miara Bernadette;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用数学;力学;
关键词
Homogenization; plate theory; phononic materials; wave propagation; band gaps;

机译：均质化;板理论;声子材料;波传播;带隙;

相似文献

外文文献
中文文献
专利

1. Elastodynamics of strongly heterogeneous periodic plates using Reissner-Mindlin and Kirchhoff-Love models [J] . Rohan Eduard, Miara Bernadette Zeitschrift fur Angewandte Mathematik und Mechanik . 2016,第3期

机译：使用Reissner-Mindlin和Kirchhoff-Love模型的强异质周期板的弹性动力学
2. A Comparison of the Plate Theories in the Sense of Kirchhoff-Love and Reissner-Mindlin [J] . Stefan Ebenfeld Mathematical Methods in the Applied Sciences . 1999,第17期

机译：Kirchhoff-Love和Reissner-Mindlin意义上的板块理论比较
3. Estimates of the modeling error for the Kirchhoff-Love plate model [Estimation de l'erreur de modélisation pour le modèle de plaque de Kirchhoff-Love] [J] . Repin S., Sauter S.A. Comptes rendus. Mathematique . 2010,第17a18期

机译：Kirchhoff-Love平板模型的建模误差估计
4. Aeroelastic Modeling Using A Geometrically Nonlinear P-version Mixed Reissner-Mindlin Plate Element [C] . Peter J. Attar, Raymond E. Gordnier AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference . 2007

机译：空气弹性造型使用几何非线性P-Version混合Reissner-Mindlin板元件
5. Numerical Approaches to a Thermoelastic Kirchhoff-Love Plate System [D] . Zhou, Zeyu. 2019

机译：热弹性Kirchhoff-Love板系统的数值方法
6. Peri-Elastodynamic Simulations of Guided Ultrasonic Waves in Plate-Like Structure with Surface Mounted PZT [O] . Subir Patra, Hossain Ahmed, Sourav Banerjee 2018

机译：表面安装PZT的板状结构中导引超声波的围弹性动力学模拟
7. A Comparison of the Plate Theories in the Sense of Kirchhoff-Love and Reissner-Mindlin [O] . Stefan Ebenfeld 2007

机译：Kirchhoff-Love和Reissner-Mindlin意义上的板块理论比较
8. Locking-Free Model for Reissner-Mindlin Plates: Analysis and Isogeometric Implementation via NURBS and Triangular NURPS. [R] . Veiga, L. B. D., Hughes, T. J. R., Kiendl, J., 2015

机译：Reissner-mindlin板的无锁模型：通过NURBs和三角NURps进行分析和等距实现。

Elastodynamics of strongly heterogeneous periodic plates using Reissner-Mindlin and Kirchhoff-Love models

摘要

著录项

相似文献

相关主题

期刊订阅