Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables
DOI10.1051/m2an/2020040zbMath1481.65189arXiv2006.05008OpenAlexW3035222826MaRDI QIDQ4958841
Chrysoula Tsogka, Tomáš Roubíček
Publication date: 15 September 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.05008
elastodynamicsdamageplasticitycreepmixed finite-element methodfractional stepsporo-elasticityexplicit discretization
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Viscoelastic fluids (76A10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
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Cites Work
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- Phase field approximation of dynamic brittle fracture
- An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat
- A phase-field description of dynamic brittle fracture
- Modelling and numerical simulation of martensitic transformation in shape memory alloys
- A mixed finite element approach for viscoelastic wave propagation
- Mixed finite elements for elasticity
- A staggered explicit-implicit finite element formulation for electroactive polymers
- Rate-independent systems. Theory and application
- A general theory of an elastic-plastic continuum
- Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model
- Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
- Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics
- Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics
- FICTITIOUS DOMAINS, MIXED FINITE ELEMENTS AND PERFECTLY MATCHED LAYERS FOR 2-D ELASTIC WAVE PROPAGATION
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Finite elements for symmetric tensors in three dimensions
- Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition
- A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem
- An efficient numerical method for the resolution of the Kirchhoff‐Love dynamic plate equation
- Mixed explicit/implicit time integration of coupled aeroelastic problems: Three‐field formulation, geometric conservation and distributed solution
- Mathematical Methods in Continuum Mechanics of Solids
- Energy-Conserving Time Discretization of Abstract Dynamic Problems with Applications in Continuum Mechanics of Solids
- Stability and Wave Motion in Porous Media
- Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation
- RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY
- Nonlinear partial differential equations with applications
- Partitioned analysis of coupled mechanical systems
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