Real‐time simulation of biological soft tissues: a PGD approach. (11th March 2013)

• Record Type: Journal Article
• Authors: Niroomandi, S.; González, D.; Alfaro, I.; Bordeu, F.; Leygue, A.; Cueto, E.; Chinesta, F.
• Is Part Of: International journal for numerical methods in biomedical engineering. Volume 29:Number 5(2013:May)
• Page Start: 586
• Page End: 600
• Publication Date: 2013-03-11
• Subjects: Biomedical engineering -- Periodicals; Imaging systems in medicine -- Periodicals; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 610.28
• DOI: 10.1002/cnm.2544
• Languages: English
• ISSNs: 2040-7939

Abstract

<abstract abstract-type="main" id="cnm2544-abs-0001"> <title>SUMMARY</title> <p id="cnm2544-para-0001">We introduce here a novel approach for the numerical simulation of nonlinear, hyperelastic soft tissues at kilohertz feedback rates necessary for haptic rendering. This approach is based upon the use of proper generalized decomposition techniques, a generalization of PODs. Proper generalized decomposition techniques can be considered as a means of a priori model order reduction and provides a physics‐based meta‐model without the need for prior computer experiments. The suggested strategy is thus composed of an offline phase, in which a general meta‐model is computed, and an online evaluation phase in which the results are obtained at real time. Results are provided that show the potential of the proposed technique, together with some benchmark test that shows the accuracy of the method. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>