Element size and time step selection procedures for the numerical analysis of elasticity with higher-order inertia

被引：16

作者：

Askes, Harm ^{[1
]}

Wang, Beibei ^{[1
]}

Bennett, Terry ^{[1
]}

机构：

[1] Univ Sheffield, Dept Civil & Struct Engn, Sheffield S1 3JD, S Yorkshire, England

来源：

JOURNAL OF SOUND AND VIBRATION | 2008年 / 314卷 / 3-5期

关键词：

D O I：

10.1016/j.jsv.2007.12.034

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Continuum theories with additional higher-order inertia terms have been suggested in the literature in order to be able to describe dispersive wave propagation and in order to include microstructural information in the macroscopic model. In this short note, we investigate two numerical discretisation aspects of such a model. Firstly, the critical time step is derived which is relevant for conditionally stable time integrators. Secondly, a discrete dispersion analysis is carried out by which the accuracy of the discretised model can be assessed a priori. Recommendations for the finite element size and the time step size can thus be made. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：650 / 656

页数：7

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