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Real‐time simulation of biological soft tissues: a PGD approach
Author(s) -
Niroomandi S.,
González D.,
Alfaro I.,
Bordeu F.,
Leygue A.,
Cueto E.,
Chinesta F.
Publication year - 2013
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.2544
Subject(s) - hyperelastic material , a priori and a posteriori , computer science , nonlinear system , model order reduction , benchmark (surveying) , proper orthogonal decomposition , rendering (computer graphics) , generalization , algorithm , mathematics , artificial intelligence , point of delivery , mathematical analysis , projection (relational algebra) , philosophy , physics , geodesy , epistemology , quantum mechanics , agronomy , biology , geography
SUMMARY 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 & Sons, Ltd.