A multiplicative finite element algorithm for the inhomogeneous swelling of polymeric gels

DOI10.1016/j.cma.2014.08.029zbMath1423.82047OpenAlexW1993624106MaRDI QIDQ1669324

Yonggang Zheng, Yin Liu, Hong-Wu Zhang

Publication date: 30 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.cma.2014.08.029

zbMATH Keywords

multiplicative decompositionlarge deformationswellingpolymeric gelstaggered finite element algorithm

Mathematics Subject Classification ID

Related Items (5)

Constitutive modeling for polymer hydrogels: a new perspective and applications to anisotropic hydrogels in free swelling ⋮ A solid-shell finite element method for the anisotropic swelling of hydrogels with reinforced fibers ⋮ A mixed isogeometric analysis approach for the transient swelling of hydrogel ⋮ High-order NURBS elements based isogeometric formulation for swellable soft materials ⋮ A robust Riks-like path following method for strain-actuated snap-through phenomena in soft solids

Cites Work

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• Inhomogeneous deformation of elastomer gels in equilibrium under saturated and unsaturated conditions
• A thermo-mechanically coupled theory for fluid permeation in elastomeric materials: application to thermally responsive gels
• Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar's data
• A theory for species migration in a finitely strained solid with application to polymer network swelling
• A numerical framework for two-dimensional large deformation of inhomogeneous swelling of gels using the improved complex variable element-free Galerkin method
• A multiplicative approach for nonlinear electro-elasticity
• Chemically induced swelling of hydrogels
• A coupled theory of fluid permeation and large deformations for elastomeric materials
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Deformation gradients for continuum mechanical analysis of atomistic simulations
• Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load
• Diffusion of a fluid through an elastic solid undergoing large deformation
• Equilibrium states of mechanically loaded saturated and unsaturated polymer gels
• A theory of coupled diffusion and large deformation in polymeric gels
• Bone remodelling. I: Theory of adaptive elasticity
• Computational inelasticity
• Coherent solid-state phase transitions with atomic diffusion: A thermomechanical treatment
• Entropy elasticity of isotropic rubber-like solids at finite strains
• On the mechanics of solids with a growing mass.
• Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation
• A finite element model for shape memory alloys considering thermomechanical couplings at large strains
• Compatibility equations of nonlinear elasticity for non-simply-connected bodies
• A numerical strategy for investigating the kinetic response of stimulus-responsive hydrogels
• Designing Responsive Buckled Surfaces by Halftone Gel Lithography
• Theory and finite element formulation of rubberlike membrane shells using principal stretches
• CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
• Swelling and Mechanical Stretching of Elastomeric Materials
• A finite element method for stability problems in finite elasticity
• Elastic-Plastic Deformation at Finite Strains

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