Geometric numerical integrators based on the Magnus expansion in bifurcation problems for non-linear elastic solids

We illustrate a procedure based on the Magnus expansion for studying mechanical problems which lead to non-autonomous systems of linear ODE’s. The effectiveness of the Magnus method is enlighten by the analysis of a bifurcation problem in the framework of three-dimensional non-linear elasticity. In...

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Bibliographic Details
Main Authors: A. Castellano, P. Foti, A. Fraddosio, S. Marzano, M. D. Piccioni
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2014-07-01
Series:Frattura ed Integrità Strutturale
Subjects:
Online Access:https://www.fracturae.com/index.php/fis/article/view/1244