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Model reduction for nonlinear biomechanical structural analysis
Author(s) -
Radermacher Annika,
Reese Stefanie
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110046
Subject(s) - nonlinear system , reduction (mathematics) , context (archaeology) , nonlinear elasticity , computer science , elasticity (physics) , materials science , mathematics , physics , composite material , geometry , geology , paleontology , quantum mechanics
Abstract For surgery training and on‐line support during surgeries a method is required which is able to reduce simulation time possibly even to realtime. This contribution compares the effectiveness of three model reduction methods, all of which are widely used for linear problems, in the context of nonlinear structural mechanics. Three reduction methods will be extended to nonlinear elasticity including large deformations. The performance of the extended concepts is investigated for a simplified model of a human inferior turbinate in the context of the functional endoscopic sinus surgery. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)