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Finite Volume Methods for the Simulation of Skeletal Muscle (2003)
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BibTeX
@MISC{Teran03finitevolume,
author = {J. Teran and S. Blemker and V. Ng Thow Hing and R. Fedkiw},
title = {Finite Volume Methods for the Simulation of Skeletal Muscle},
year = {2003}
}
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Abstract
Since it relies on a geometrical rather than a variational framework, many find the finite volume method (FVM) more intuitive than the finite element method (FEM). We show that the FVM allows one to interpret the stress inside a tetrahedron as a simple “multidimensional force ” pushing on each face. Moreover, this interpretation leads to a heuristic method for calculating the force on each node, which is as simple to implement and comprehend as masses and springs. In the finite volume spirit, we also present a geometric rather than interpolating function definition of strain. We use the FVM and a quasi-incompressible, transversely isotropic, hyperelastic constitutive model to simulate contracting muscle tissue. B-spline solids are used to model fiber directions, and the muscle activation levels are derived from key frame animations.
Keyphrases
finite volume method skeletal muscle b-spline solid hyperelastic constitutive model muscle activation level key frame animation function definition heuristic method finite volume spirit finite element method fiber direction simple multidimensional force variational framework muscle tissue
