Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions

DOI10.1016/S0045-7825(98)00211-4zbMath0968.74062OpenAlexW1975334703MaRDI QIDQ1964281

Francisco Armero

Publication date: 18 September 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00211-4

zbMATH Keywords

multiplicative decomposition of deformation gradientfinite element implementationprinciple of maximum plastic dissipationstaggered algorithmsfinite deformation modela priori stability estimateadditive elastoplastic decompositionassociated Drucker-Prager modelcoupled poroplasticityfully saturated conditionsstrain-localization globally undrained conditions

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (57)

A new coupled multiphase flow-finite strain deformation-fault slip framework for induced seismicity ⋮ An elasto-plastic biphasic model of the compression of multicellular aggregates: the influence of fluid on stress and deformation ⋮ Evolution of elastic properties in finite poroplasticity and finite element analysis ⋮ \(u\)-\(w\) formulation for dynamic problems in large deformation regime solved through an implicit meshfree scheme ⋮ Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. II: Computational aspects ⋮ Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training ⋮ Analysis of partitioned methods for the <scp>B</scp>iot System ⋮ Unnamed Item ⋮ On the dynamics of charged electromagnetic particulate jets ⋮ On deformational and configurational poro-mechanics: dissipative versus non-dissipative modelling of two-phase solid/fluid mixtures ⋮ Splitting scheme for poroelasticity and thermoelasticity problems ⋮ Splitting Scheme for Poroelasticity and Thermoelasticity Problems ⋮ Extracting the left and right critical eigenvectors from the LDU-decomposed non-symmetric Jacobian matrix in stability problems ⋮ A theory of finite strain magneto-poromechanics ⋮ Free surface flow and preform deformation in composites manufacturing based on porous media theory ⋮ A consistent mixed finite element formulation for hydro-mechanical processes in~saturated porous media at large strains based on a generalized material description ⋮ A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain ⋮ Formulation and sequential numerical algorithms of coupled fluid/heat flow and geomechanics for multiple porosity materials ⋮ A stabilized finite element formulation for monolithic thermo-hydro-mechanical simulations at finite strain ⋮ An efficient algorithm for biomechanical problems based on a fully implicit nested Newton solver ⋮ Finite strain hyperelastoplastic modelling of saturated porous media with compressible constituents ⋮ Inverse modeling of nonisothermal multiphase poromechanics using physics-informed neural networks ⋮ Mechanics of adsorption-deformation coupling in porous media ⋮ Multiscale model reduction for shale gas transport in poroelastic fractured media ⋮ Simulation and interpretation of diffuse mode bifurcation of elastoplastic solids. ⋮ Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits ⋮ Elastic-plastic multiplicative decomposition with a stressed intermediate configuration ⋮ Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits ⋮ Process-modeling of composites using two-phase porous media theory. ⋮ Robust modeling of hysteretic capillary pressure and relative permeability for two phase flow in porous media ⋮ Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain. I: application to a simple geomaterial ⋮ A new numerically stable sequential algorithm for coupled finite-strain elastoplastic geomechanics and flow ⋮ Unconditionally stable sequential schemes for all-way coupled thermoporomechanics: undrained-adiabatic and extended fixed-stress splits ⋮ Finite element modelling of saturated porous media at finite strains under dynamic conditions with compressible constituents ⋮ Consistent tangent matrices for density-dependent finite plasticity models ⋮ Finite deformation analysis of geomaterials ⋮ Dynamics of porous media at finite strain ⋮ Analysis and numerical simulation of strong discontinuities in finite strain poroplasticity ⋮ Embedded strong discontinuity finite elements for fractured geomaterials with variable friction ⋮ Two-scale method for shear bands: thermal effects and variable bandwidth ⋮ Finite elements with embedded strong discontinuities for the modeling of failure in solids ⋮ Fractional step methods for index-1 differential-algebraic equations ⋮ Splitting schemes for poroelasticity and thermoelasticity problems ⋮ On the computation of the coupled thermo-electromagnetic response of continua with particulate microstructure ⋮ A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics ⋮ Iterative solvers for Biot model under small and large deformations ⋮ Robust iterative schemes for non-linear poromechanics ⋮ Computational issues in large strain elasto-plasticity: an algorithm for mixed hardening and plastic spin ⋮ An analysis of strain localization in a shear layer under thermally coupled dynamic conditions. Part 2: Localized thermoplastic models ⋮ On advanced solution strategies to overcome locking effects in strong discontinuity approaches ⋮ Finite strain modelling for multiphase flow in dual scale porous media during resin infusion process ⋮ An arbitrary Lagrangian-Eulerian finite element formulation for a poroelasticity problem stemming from mixture theory ⋮ Non-local formulation for transport and damage in porous media ⋮ Aspects of finite element formulations for the coupled problem of poroelasticity based on a canonical minimization principle ⋮ Nonlinear analysis of nearly saturated porous media: Theoretical and numerical formulation ⋮ An energy-consistent material-point method for dynamic finite deformation plasticity ⋮ A large deformation poroplasticity theory for microporous polymeric materials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lyapunov functions for thermomechanics with spatially varying boundary temperatures
• Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
• A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
• An investigation of the stability of numerical solutions of Biot's equations of consolidation
• Elasto-plastic consolidation of soil
• Thermodynamics and stability
• Coupled stress-diffusion: Case II
• On convergence conditions of partitioned solution procedures for consolidation problems
• A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity
• On thermodynamics and the stability of motions of material with memory
• A mathematical framework for finite strain elastoplastic consolidation. I: Balance laws, variational formulation, and linearization
• On the formulation of enhanced strain finite elements in finite deformations
• A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• Thermoelasticity and Irreversible Thermodynamics
• Stabilization of partitioned solution procedure for pore fluid-soil interaction analysis
• Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
• A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
• The analysis of finite elasto-plastic consolidation
• Cavitation modelling in saturated geomaterials with application to dynamic strain localization
• Elastic-Plastic Deformation at Finite Strains
• Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface
• Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena

This page was built for publication: Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions