Mixed Arlequin method for multiscale poromechanics problems (Q6557418)

scientific article; zbMATH DE number 7867116

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English	Mixed Arlequin method for multiscale poromechanics problems	scientific article; zbMATH DE number 7867116

Statements

instance of

scholarly article

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title

Mixed Arlequin method for multiscale poromechanics problems (English)

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International Journal for Numerical Methods in Engineering

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publication date

18 June 2024

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zbMATH Keywords

poromechanics

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multiscale simulations

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domain coupling

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Arlequin method

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inf-sup tests

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Multiscale method for characterization of porous microstructures and their impact on macroscopic effective permeability

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Energy conservation of atomistic/continuum coupling

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A reformulation of strain gradient plasticity.

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A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation

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Q4953255

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Finite element simulation of strain localization with large deformation: Capturing strong discontinuity using a Petrov-Galerkin multiscale formulation

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Strong discontinuities in partially saturated poroplastic solids

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A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.

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Multiscale aggregating discontinuities: A method for circumventing loss of material stability

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A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials

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A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain

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Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy

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From particle ensembles to Cosserat continua: homogenization of contact forces towards stresses and couple stresses.

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The mortar finite element method with Lagrange multipliers

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Problèmes mécaniques multi-échelles: la méthode Arlequin

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The Arlequin method as a flexible engineering design tool

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On the application of the Arlequin method to the coupling of particle and continuum models

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On the use of XFEM within the Arlequin framework for the simulation of crack propagation

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Adaptive multiscale modeling of polymeric materials with Arlequin coupling and goals algorithms

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Coupling of nonlocal and local continuum models by the Arlequin approach

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A multiscale overlapped coupling formulation for large-deformation strain localization

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Mechanics of Hydraulic Fractures

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Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method

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Incompressibility in the multimodel Arlequin framework

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A remark on the analogy between thermoelasticity and the elasticity of saturated porous media

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Nonlinear transient phenomena in saturated porous media

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Numerical simulation of fully saturated porous materials

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A mathematical framework for finite strain elastoplastic consolidation. I: Balance laws, variational formulation, and linearization

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A stabilized finite element formulation for monolithic thermo-hydro-mechanical simulations at finite strain

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Variational Lagrangian-thermodynamics of nonisothermal finite strain mechanics of porous solids and thermomolecular diffusion

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Q4253857

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Error estimation and adaptive meshing in strongly nonlinear dynamic problems

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A variational framework to model diffusion induced large plastic deformation and phase field fracture during initial two-phase lithiation of silicon electrodes

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Finite element formulation and algorithms for unsaturated soils. Part I: Theory

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Cam-Clay plasticity. VIII: A constitutive framework for porous materials with evolving internal structure

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Incremental variational principles and finite element models for nonlinear problems

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One-step and linear multistep methods for nonlinear consolidation

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On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers

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Analyse mathématique de la méthode Arlequin mixte

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Ill-conditioning of finite element poroelasticity equations.

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A fully coupled 3-D mixed finite element model of Biot consolidation

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Block-partitioned solvers for coupled poromechanics: a unified framework

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The finite element method with Lagrangian multipliers

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Two families of mixed finite elements for second order elliptic problems

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The three-field formulation for elasticity problems

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Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients

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Stabilized mixed finite elements for deformable porous media with double porosity

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On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids

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Inf-sup conditions for twofold saddle point problems

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The inf-sup test

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Inf-sup testing of upwind methods

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Stability of semidiscrete formulations for parabolic problems at small time steps

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General theory of three-dimensional consolidation.

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Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues

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A finite element method for crack growth without remeshing

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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X-FEM in isogeometric analysis for linear fracture mechanics

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An isogeometric approach to cohesive zone modeling

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Lower-dimensional interface elements with local enrichment: application to coupled hydro-mechanical problems in discretely fractured porous media

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A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks

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An extended finite element method for hydraulic fracture propagation in deformable porous media with the cohesive crack model

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The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique

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Lie-group interpolation and variational recovery for internal variables

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Isogeometric analysis: an overview and computer implementation aspects

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A numerical approach for arbitrary cracks in a fluid-saturated medium

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Identifiers

zbMATH Open document ID

1548.6534

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DOI

10.1002/nme.5476

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6557418