GMRV Publications

Simulation of Hyperelastic Materials Using Energy Constraints

Jesus Perez, Alvaro G. Perez, Miguel A. Otaduy
Proc. of Congreso Español de Informática Gráfica - 2013
Download the publication : PPO13_CEIG.pdf [4Mo]  
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.

Images and movies

ArmadilloDisc.png [188Ko]
Beam150K1.png [60Ko]
SphereDRes1.png [160Ko]
jperez_CEIG13.avi [9.6Mo]

BibTex references

  author       = "Perez, Jesus and Perez, Alvaro G. and Otaduy, Miguel A.",
  title        = "Simulation of Hyperelastic Materials Using Energy Constraints",
  booktitle    = "Proc. of Congreso Espa\~{n}ol de Inform\'atica Gr\'afica",
  year         = "2013",
  url          = ""

Other publications in the database

» Jesus Perez
» Alvaro G. Perez
» Miguel A. Otaduy