A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials

Louis Moresi (1) , Frédéric Dufour (2, 3) , Hans Muhlhaus (4)

1 School of Mathematical Sciences [Clayton]
2 3SR - Laboratoire sols, solides, structures - risques [Grenoble]
3 GeM - Institut de Recherche en Génie Civil et Mécanique
4 Quakes

We review the methods available for large deformation simulations of geomaterials before presenting a Lagrangian integration point finite element method designed specifically to tackle this problem. In our Ellipsis code, the problem domain is represented by an Eulerian mesh and an embedded set of Lagrangian integration points or particles. Unknown variables are computed at the mesh nodes and the Lagrangian particles carry history variables during the deformation process. This method is ideally suited to model fluid-like behavior of continuum solids which are frequently encountered in geological contexts. We present benchmark examples taken from the geomechanics area.

Mots clés: Finite element method; Lagrangian integration points; Large deformation viscoelasticity; Multigrid

Domaines: Mécanique [physics.med-ph]

Louis Moresi, Frédéric Dufour, Hans Muhlhaus. A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials. Journal of Computational Physics, 2003, 184, pp.476-497. ⟨hal-00333883⟩