Discussion about parameterization in the asymptotic numerical method: Application to nonlinear elastic shells

✍ Scribed by H. Mottaqui; B. Braikat; N. Damil

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 641 KB
• Volume: 199
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/j.cma.2010.01.020

✦ Synopsis

The Asymptotic Numerical Method (ANM) is a family of algorithms for path following problems based on the computation of truncated vectorial series with respect to a path parameter "a" [B. Cochelin, N. Damil, M. Potier-Ferry, Méthode Asymptotique Numérique, Hermès-Lavoisier, Paris, 2007]. In this paper, we discuss and compare three concepts of parameterizations of the ANM curves i.e. the definition of the path parameter "a". The first concept is based on the classical arc-length parameterization [E. Riks, Some computational aspects of the stability analysis of nonlinear structures, Computer Methods in Applied Mechanics and Engineering, 47 (1984) 219-259], the second is based on the so-called local parameterization [W. C.