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

By Louis Moresi, Frédéric Dufour, H. Muhlhaus. 2003

482 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Management, Monitoring, Policy and Law

View Paper: https://www.semanticscholar.org/paper/2a642551f2b14313ce39198818d1a6ee527d476f

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Citations in the corpus

The seismic cycle at subduction thrusts: Insights from seismo‐thermo‐mechanical models (2013, methodology): “D 0ij/Dt is the objective corotational time derivative solved using a time explicit scheme [e.g., Moresi et al., 2003]. is a plastic multiplier connecting plastic strain rates and stresses and gpl is the plastic flow potential.”
Large deformation FEMLIP drained analysis of a vertical cut (2012, methodology): “FEMLIP is currently implemented with the ELLIPSIS numerical code, and has been used in applications in geophysics and civil engineering for viscous-like materials.”
Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems (2007, methodology): “…− ∂vz ∂z ) , ε̇xz = ε̇zx = 1 2 ( ∂vx ∂z + ∂vz ∂x ) , in which t is the computational time step, σ0ij is the deviatoric stress tensor from the previous time slice corrected for advection and rotation by using a nondiffusive marker-in-cell technique (e.g. Moresi et al., 2003; Gerya and Yuen, 2003).”
An energy‐consistent material‐point method for dynamic finite deformation plasticity (2006, methodology): “Additionally, a three-field mixed formulation is considered, providing for a more general implementation than the two field mixed (MPM) formulation in [39].”
Numerical modelling of magma dynamics coupled to tectonic deformation of lithosphere and crust (2013, methodology): “…as we will show, represents a straightforward extension of the standard formulation of Stokes flow used in many geodynamic simulations of mantle or lithosphere deformation today (Moresi et al. 2003; Gerya & Yuen 2007; Kaus et al. 2008; May & Moresi 2008; Popov & Sobolev 2008; Kaus 2010).”
Formulation of a dynamic material point method (MPM) for geomechanical problems (2013, methodology): “The method is called Lagrangian integration point finite element method [125].”
Conditions for the onset of plate tectonics on terrestrial planets and moons (2007, methodology): “The Maxwell visco-elastic formulation is described in Moresi et al. (2003), and more fully outlined in Appendix A.”
A new driving mechanism for backarc extension and backarc shortening through slab sinking induced toroidal and poloidal mantle flow: Results from dynamic subduction models with an overriding plate (2013, methodology): “In Underworld, subduction and plate motion are modeled in a three-dimensional Cartesian box by compositional buoyancy contrasts in an incompressible Boussinesq fluid at very low Reynolds number.”
Computational modeling of concrete flow: General overview (2007, background): “[25] have recently developed a new hybrid FEM (FEMLIP), where material points and computational points are decoupled.”