GMRV Publications
Simulation of Hyperelastic Materials Using Energy Constraints
Proc. of Congreso Español de Informática Gráfica - 2013
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Real-world materials exhibit highly nonlinear mechanical behavior, but
computer animation often neglects such nonlinearities. Hyperelasticity,
or strain-dependent material stiffness, is one of the clear sources of
nonlinearity. Correctly modeling real-world materials would require
capturing strain-dependent elasticity, but hyperelasticity induces stiff
differential equations that may complicate simulation, in particular for
real-time computer animation. In this paper, we propose a method based
on constrained optimization for the simulation of hyperelastic materials.
The key novelty of our method lies on limiting elastic energy to model
extremely nonlinear elasticity within a common linear co-rotational
formulation. Our method is designed on a hexahedral FEM discretization
to avoid locking phenomena, and is capable of solving together
energy-limiting and frictional contact constraints. We show that our
approach enables the simulation of a large range of hyperelastic material
behaviors.
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BibTex references
@InProceedings\{PPO13,
author = "Perez, Jesus and Perez, Alvaro G. and Otaduy, Miguel A.",
title = "Simulation of Hyperelastic Materials Using Energy Constraints",
booktitle = "Proc. of Congreso Español de Informática Gráfica",
year = "2013",
url = "http://gmrv.es/Publications/2013/PPO13"
}
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