Accounting for Large Deformations in real-Time Simulations of Soft Tissues Based on Reduced Order Models

Siamak Niroomandi (1) , Iciar Alfaro (1) , Elías Cueto (1) , Francisco Chinesta (2)

1 I3A - Aragón Institute of Engineering Research [Zaragoza]
2 Matériaux, Procédés et Technologie des Composites

Model reduction techniques have shown to constitute a valuable tool for real-time simulation in surgical environments and other fields. However, some limitations, imposed by real-time constraints, have not yet been overcome. One of such limitations is the severe limitation in time (established in 500 Hz of frequency for the resolution) that precludes the employ of Newton-like schemes for solving non-linear models as the ones usually employed for modeling biological tissues. In this work we present a technique able to deal with geometrically non-linear models, based on the employ of model reduction techniques, together with an efficient non-linear solver. Examples of the performance of the technique over some examples will be given.

Mots clés: Real-time simulation; Model reduction; Large deformations; Haptic devices; Kirchhoff–Saint Venant

Domaines: Biomécanique [physics.med-ph]; Ingénierie biomédicale

Siamak Niroomandi, Iciar Alfaro, Elías Cueto, Francisco Chinesta. Accounting for Large Deformations in real-Time Simulations of Soft Tissues Based on Reduced Order Models. Computer Methods and Programs in Biomedicine, 2011, 105 (1), pp.1-12. ⟨10.1016/j.cmpb.2010.06.012⟩. ⟨hal-01004972⟩