\(u\)-\(w\) formulation for dynamic problems in large deformation regime solved through an implicit meshfree scheme

DOI10.1007/s00466-017-1524-yzbMath1459.76150OpenAlexW2773254385WikidataQ113327300 ScholiaQ113327300MaRDI QIDQ1624389

Lorenzo Sanavia, Pedro Navas, Susana López-Querol, Rena C. Yu

Publication date: 16 November 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-017-1524-y

zbMATH Keywords

meshfreeimplicit schemesBiot's equationshyperelastoplasticity\(u-w\) formulation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Flows in porous media; filtration; seepage (76S05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

On the derivation of a component-free scheme for Lagrangian fluid-structure interaction problems ⋮ An effective and stabilised \((\mathbf{u} - \boldsymbol{p_l})\) SPH framework for large deformation and failure analysis of saturated porous media ⋮ On the dynamic assessment of the local-maximum entropy material point method through an explicit predictor-corrector scheme ⋮ A component-free Lagrangian finite element formulation for large strain elastodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A formulation for an unsaturated porous medium undergoing large inelastic strains
• Elastoplastic consolidation at finite strain. II: Finite element implementation and numerical examples
• A mathematical framework for finite strain elastoplastic consolidation. I: Balance laws, variational formulation, and linearization
• Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
• Dynamics of porous media at finite strain
• Numerical modelling of dynamic consolidation on granular soils
• Numerical simulation of fully saturated porous materials
• Dynamics of unsaturated soils using various finite element formulations
• A thermo-hydro-mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation
• Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
• Optimal transportation meshfree approximation schemes for fluid and plastic flows
• On Finite Plastic Flow of Crystalline Solids and Geomaterials
• Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
• Consistent linearization in mechanics of solids and structures
• Cavitation modelling in saturated geomaterials with application to dynamic strain localization
• Liquefaction and cyclic mobility model for saturated granular media
• Elastic-Plastic Deformation at Finite Strains
• Construction of polygonal interpolants: a maximum entropy approach

This page was built for publication: \(u\)-\(w\) formulation for dynamic problems in large deformation regime solved through an implicit meshfree scheme