Unified solid-fluid Lagrangian FEM model derived from hyperelastic considerations

DOI10.1007/s00707-022-03237-zzbMath1493.74107OpenAlexW4283120147MaRDI QIDQ2156238

Rodolfo André Kuche Sanches, Humberto Breves Coda

Publication date: 18 July 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03237-z

zbMATH Keywords

compressible Navier-Stokes equationsNavier-Cauchy equationsdeformation gradient multiplicative decompositionKelvin-Voigt viscoelastic solidprismatic finite element formulation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05) Compressible Navier-Stokes equations (76N06)

Cites Work

• Unnamed Item
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• Anisotropic finite strain viscoelasticity based on the Sidoroff multiplicative decomposition and logarithmic strains
• Sheet metal forming and springback simulation by means of a new reduced integration solid-shell finite element technology
• A large deformation, rotation-free, isogeometric shell
• A low order 3D virtual element formulation for finite elasto-plastic deformations
• Calculation of the advective limit of the SUPG stabilization parameter for linear and higher-order elements
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Parallel edge-based solution of viscoplastic flows with the SUPG/PSPG formulation
• The role of continuity in residual-based variational multiscale modeling of turbulence
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Constitutive modelling and computation of nonlinear viscoelastic solids. I: Rheological models and numerical integration techniques
• A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests
• A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Entropy elasticity of isotropic rubber-like solids at finite strains
• A material model for rubber-like polymers exhibiting plastic deformation: Computational aspects and a comparison with experimental results
• A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation
• \(p\)-FEM applied to finite isotropic hyperelastic bodies.
• On the physical significance of higher-order kinematic and static variables in a three-dimensional shell formulation
• Finite element stabilization parameters computed from element matrices and vectors
• Stabilization and discontinuity-capturing parameters for space-time flow computations with finite element and isogeometric discretizations
• High-order tetrahedral finite elements applied to large deformation analysis of functionally graded rubber-like materials
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• Time-accurate computation of unsteady free surface flows using an ALE-segregated equal-order FEM
• An incremental relaxation finite element analysis of viscoelastic problems with contact and friction
• The Cosserat surface as a shell model, theory and finite element formulation
• On the equivalence between the multiplicative hyper-elasto-plasticity and the additive hypo-elasto-plasticity based on the modified kinetic logarithmic stress rate
• Stabilization and shock-capturing parameters in SUPG formulation of compressible flows
• Fluid-structure interaction using the particle finite element method
• On anisotropic elasticity and questions concerning its finite element implementation
• Unconstrained vector nonlinear dynamic shell formulation applied to fluid structure interaction
• An explicit solution for implicit time stepping in multiplicative finite strain viscoelasticity
• Arbitrary Lagrangian--Eulerian method for Navier--Stokes equations with moving boundaries
• Unified Lagrangian formulation for solid and fluid mechanics and FSI problems
• Unified Lagrangian formulation for elastic solids and incompressible fluids: application to fluid-structure interaction problems via the PFEM
• Mixed variational principles and robust finite element implementations of gradient plasticity at small strains
• The second approximation to cnoidal and solitary waves
• Stabilized Finite Element Formulations for Incompressible Flow Computations
• On the dynamic effects of explicit FEM in sheet metal forming analysis
• An arbitrary Lagrangian Eulerian (ALE) formulation for free surface flows using the characteristic-based split (CBS) scheme
• Elastic-Plastic Deformation at Finite Strains
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
• Computational Fluid Dynamics
• Shear correction factors in Timoshenko's beam theory for arbitrary shaped cross-sections

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