Journal
COMPUTATIONAL MECHANICS
Volume 64, Issue 3, Pages 611-623Publisher
SPRINGER
DOI: 10.1007/s00466-019-01672-9
Keywords
Real-time simulation; Co-rotational finite element; Collision detection; Bi-potential method
Funding
- National Key R&D Program of China [2017YFB0 703200]
- National Natural Science Foundation of China [11772274]
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This paper concerns mainly numerical aspects for the real-time manipulation of deformable objects in the context of virtual surgery. The bi-potential method in the form of augmented Lagrangian is extended to solve multiple contact problems within real time computing requirements. Nonlinearities of large deformation are also included to describe the mechanical behavior of soft tissues. To obtain both accuracy and realism, the approximated co-rotational finite element method is applied to make a compromise between accuracy and computational cost. It is difficult to detect collisions between virtual objects at interactive rates. In this work, we use an optimal bounding volume hierarchy technique to acquire a good detecting efficiency. Two numerical examples are carried out to illustrate the efficiency, robustness and accuracy of the presented approaches.
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