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- W4287760219 abstract "An extension of the two-step staggered time discretization of linear elastodynamics in stress-velocity form to systems involving internal variables subjected to a possibly non-linear dissipative evolution is proposed. The original scheme is thus enhanced by another step for the internal variables which, in general, is implicit, although even this step might be explicit if no spatial gradients of the internal variables are involved. Using an abstract Banach-space formulation, a-priori estimates and convergence are proved under a CFL condition. The developed three-step scheme finds applications in various problems of continuum mechanics at small strain. Here, we consider in particular plasticity, viscoelasticity (creep), diffusion in poroelastic media, and damage." @default.
- W4287760219 created "2022-07-26" @default.
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- W4287760219 date "2020-06-08" @default.
- W4287760219 modified "2023-10-11" @default.
- W4287760219 title "Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables" @default.
- W4287760219 doi "https://doi.org/10.48550/arxiv.2006.05008" @default.
- W4287760219 hasPublicationYear "2020" @default.
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