Space-Time Isogeometric Analysis for linear and non-linear elastodynamics

被引：14

作者：

Saade, C. ^{[1
]}

Lejeunes, S. ^{[1
]}

Eyheramendy, D. ^{[1
]}

Saad, R. ^{[2
]}

机构：

[1] Aix Marseille Univ, Cent Marseille, CNRS, LMA,UMR 7031, Marseille, France

[2] Lebanese Univ, Fac Sci, Fanar, Lebanon

来源：

COMPUTERS & STRUCTURES | 2021年 / 254卷

关键词：

Space-Time; Isogeometric Analysis; Stabilization techniques; Impact; FINITE-ELEMENT-METHOD; ELASTO-DYNAMIC PROBLEMS; GALERKIN METHODS; WAVE-EQUATION; FREE BOUNDARY; STABILITY; NURBS; FLOW; GEOMETRY; STRAIN;

D O I：

10.1016/j.compstruc.2021.106594

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this study we investigate a stabilized space-time formulation for linear and non-linear elastodynamics. We use Isogeometric Analysis (IGA) in order to benefit from its numerical qualities. We focus on two points: the formulation of stabilized weak-forms in a linear and non-linear context and the interest of using continuous Galerkin schemes in space and time with higher order and higher continuity basis functions. We illustrate the numerical performance of these methods through typical impact or vibration problems commonly encountered in the field of the elastodynamics of solids. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：18

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