Time discontinuous Galerkin methods with energy decaying correction for non-linear elastodynamics

被引：18

作者：

de Miranda, Stefano ^{[1
]}

Mancuso, Massimo ^{[2
]}

Ubertini, Francesco ^{[1
]}

机构：

[1] Univ Bologna, DISTART, I-40136 Bologna, Italy

[2] Univ Modena & Reggio Emilia, DIMC, I-41100 Modena, Italy

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2010年 / 83卷 / 03期

关键词：

discontinuous Galerkin method; non-linear elastodynamics; time integration schemes; energy decaying algorithms; FINITE-ELEMENT-METHOD; COMPREHENSIVE UNIFIED SET; SINGLE-STEP ALGORITHMS; STRUCTURAL DYNAMICS; CONTROLLABLE DISSIPATION; FORMULATION; INTEGRATION; SYSTEMS;

D O I：

10.1002/nme.2826

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper a new time discontinuous Galerkin (TDG) formulation for non-linear elastodynamics is presented. The new formulation embeds an energy correction which ensures truly energy decaying, thus allowing to achieve unconditional stability that, as shown in the paper, is not guaranteed by the classical TDG formulation. The resulting method is simple and easily implementable into existing finite element codes. Moreover, it inherits the desirable higher-order accuracy and high-frequency dissipation properties of the classical formulation. Numerical results illustrate the very good performance of the proposed formulation. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：323 / 346

页数：24

共 36 条

[1]

Argyris John., 1991, Dynamics of Structures

[2]

BarYoseph PZ, 1996, COMPUT MECH, V18, P302

[3] Spectral element methods for nonlinear spatio-temporal dynamics of an Euler-Bernoulli beam [J].