• Corpus ID: 238253197

Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids

@article{Demoures2021UnifiedDM,
  title={Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids},
  author={Franccois Demoures and Franccois Gay-Balmaz},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.00412}
}
We present a geometric variational discretization of nonlinear elasticity in 2D and 3D in the Lagrangian description. A main step in our construction is the definition of discrete deformation gradients and discrete Cauchy-Green deformation tensors, which allows for the development of a general discrete geometric setting for frame indifferent isotropic hyperelastic models. The resulting discrete framework is in perfect adequacy with the multisymplectic discretization of fluids proposed earlier… 

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