A theory of finite strain magneto-poromechanics

Nedjar, Boumediene

doi:10.1016/j.jmps.2015.08.003

Cited by 22 publications

(11 citation statements)

References 41 publications

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“…According to thermodynamics, , it is required for the energy imbalance that the temporal increase in the free energy of the magnetic hydrogel is less than or equal to the external power plus the free energy due to fluid transport and magnetization, namely, where μ s is the chemical potential, and F is the free energy density.…”

Section: Methodsmentioning

confidence: 99%

Optimization of Deformable Magnetic-Sensitive Hydrogel-Based Targeting System in Suspension Fluid for Site-Specific Drug Delivery

Liu

Lam

2018

Mol. Pharmaceutics

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For optimization of the targeting performance of the magnetic hydrogel subject to the magneto-chemo-hydro-mechanical coupled stimuli, a multiphysics model for a suspension fluid flow in a blood vessel is developed, in which a deformable magnetic-sensitive hydrogel-based drug targeting system moves with fluid. In this model, the fluid-structure interaction of the movable and deformable magnetic hydrogel with surrounding fluid flow is characterized through the fully coupled arbitrary Lagrangian-Eulerian algorithm. Moreover, the four physicochemical responsive mechanisms are considered, including hydrogel magnetization, solvent diffusion, fluid flow, and nonlinear large deformation. After the present model is examined by the experimental data in open literature, the transient behaviors of the motion and deformation of the magnetic hydrogel are investigated in suspension flow. It is found that the higher flow velocity and/or the larger hydrogel size accelerate the movement of the hydrogel, while the smaller hydrogel size contributes to the larger swelling ratio. Furthermore, the performance of the magnetic targeting system is optimized for delivering the drug-loaded hydrogel to the desired site by tuning the maximum magnetic field strength, the maximum inlet flow velocity, and the magnet position. Therefore, it is confirmed that the present optimizable magnetic hydrogel-based drug targeting system via the multiphysics model may provide a promising efficient platform for site-specific drug delivery.

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Section: Methodsmentioning

confidence: 99%

Optimization of Deformable Magnetic-Sensitive Hydrogel-Based Targeting System in Suspension Fluid for Site-Specific Drug Delivery

Liu

Lam

2018

Mol. Pharmaceutics

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“…Among others, observe that, in this form, the conjugate character between H and B replaces that between M and B in the former form (equation ( 18)). For similarities, see also Nedjar [16] for developments in magnetoporomechanics.…”

Section: Continuum Thermodynamics and Constitutive Lawsmentioning

confidence: 99%

“…In parallel, the mathematical modelling of the coupling of electromagnetic fields in deformable materials has also been an area of active research, see for example [8][9][10][11][12][13][14][15][16] . Fully coupled nonlinear field theories have been developed with constitutive formulations based on augmented free energy functions.…”

Section: Introductionmentioning

confidence: 99%

A modelling framework for finite strain magnetoviscoelasticity

Nedjar

2019

Mathematics and Mechanics of Solids

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The main objective of this contribution is the theoretical modelling of magnetizable materials that exhibit viscoelastic properties. The current state of the art in the mathematical modelling of non-linear magnetomechanics in deformable media can be easily integrated within the unified framework of continuum thermodynamics, which is crucial in setting the convenient forms for the constitutive laws and evolution equations. Owing to the soft nature of the materials we have in mind, the finite strain range is adopted a priori and, in this first approach, only isotropic materials are considered. We adopt the currently well-accepted multiplicative split of the deformation gradient, which, moreover, gives rise to an intermediate configuration. Herein, the novelty resides in the fact that the magnetic field vectors are transported onto the aforementioned intermediate configuration and, therefore, can be implicitly decomposed. The proposed formulation is based on the magnetic induction as the main independent variable for the magnetic part of the problem. An alternative formulation based on the magnetic field as main independent variable can easily be deduced, but this latter will not be considered in this paper for the sake of clarity. A very simple model example that agrees with the laws of thermodynamics is proposed for the purpose of demonstration to study some phenomena qualitatively.

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“…One is the Eulerian coordinate for the spatial description and the other is the Lagrangian coordinate for the material description. The two coordinate systems can be transformed by the method of the Piola transform, and the detailed transformation processes can easily be found in the published works [18][19][20] In the absence of a free current, the distributive magnetic field is governed by [21]…”

mentioning

confidence: 99%