Bifurcation indicator for geometrically nonlinear elasticity using the Method of Fundamental Solutions

被引：12

作者：

Askour, Omar ^{[1
]}

Tri, Abdeljalil ^{[2
,3
]}

Braikat, Bouazza ^{[1
]}

Zahrouni, Hamid ^{[4
,5
]}

Potier-Ferry, Michel ^{[4
,5
]}

机构：

[1] Hassan II Univ Casablanca, Fac Sci Ben Msik, Lab Ingn & Mat LIMAT, BP 7955, Casablanca, Morocco

[2] ISEM, Km 7,Route El Jadida, Casablanca, Morocco

[3] Hassan II Univ Casablanca, Fac Sci Ain Chok, Lab Mecan, Casablanca, Morocco

[4] Univ Lorraine, CNRS, Arts & Metiers ParisTech, LEM3, F-57000 Metz, France

[5] Univ Lorraine, Lab Excellence Design Alloy Met Low mAss Struct, DAMAS, F-57000 Metz, France

来源：

COMPTES RENDUS MECANIQUE | 2019年 / 347卷 / 02期

关键词：

Bifurcation indicator; Method of Fundamental Solutions; Asymptotic Numerical Method; Nonlinear computation; MESHLESS; ALGORITHM; PLATE;

D O I：

10.1016/j.crme.2019.01.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the present work, we propose a numerical analysis of instability and bifurcations for geometrically nonlinear elasticity problems. These latter are solved by using the Asymptotic Numerical Method (ANM) associated with the Method of Fundamental Solutions (MFS). To compute bifurcation points and to determine the critical loads, we propose three techniques. The first one is based on a geometrical indicator obtained by analyzing the Taylor series. The second one exploits the properties of the Pade approximants, and the last technique uses an analytical bifurcation indicator. Numerical examples are studied to show the efficiency and the reliability of the proposed algorithms. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：91 / 100

页数：10

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