Physically motivated modelling of magnetoactive elastomers

Magnetoactive elastomers (MAEs) are polymer composites containing magnetically soft or hard particles incorporated into an elastomer matrix during the crosslinking procedure. In the presence of a magnetic field, the induced magnetic interactions and the corresponding particle rearrangements significantly alter the mechanical properties in dependence on the initial particle distribution and sample shape. In addition, applying magnetic fields also changes the macroscopic shape of an MAE. This thesis investigates the magneto-mechanical coupled behaviour of MAEs by means of analytical and numerical methods. The effects of particle distribution and sample shape have been studied with the help of a physically motivated model of MAEs that considers dipole-dipole interactions between magnetizable particles. The presence of a magnetic field leads to a mechanical anisotropy in MAEs with isotropic particle distribution, and the induced anisotropy is directed along the orientation of the field. Thus, MAEs exhibit direction-dependent mechanical properties with distinct elastic moduli along and perpendicular to the field direction when the MAE sample is subjected to uniaxial deformation. A good agreement is reported between the physically motivated approach and conventional transversely isotropic material models. Furthermore, we investigate the important interplay between the particle distribution and the sample shape of MAEs, where a simple analytical expression is derived based on geometrical arguments to describe the particle distribution inside MAEs. We show that the enhancement of elastic moduli arises not only from the induced dipole-dipole interactions but also considerably from the change in the particle microstructure. Moreover, the magneto-mechanical behaviour of isotropic MAEs under shear deformations is studied. Three principal geometries of shear deformation are investigated with respect to the orientation of the applied magnetic field. We show that the Cauchy stress tensor of MAEs is not always symmetric due to the generation of a magnetic torque acting on an anisometric MAE sample under shear loadings. The theoretical study of magneto-mechanical behaviour of MAEs confirms that the effect of sample shape is quite significant and cannot be neglected. On the other hand, the initial particle distribution and presumed rearrangements due to the magnetic field additionally influence the material response of MAEs. Finally, the physically motivated model of MAEs could be transformed into an invariants-based model enabling its implementation in commercial finite element software. Therefore, we have uncovered a new pathway to model MAEs based on dipole-dipole interactions, leading to a constitutive relation analogous to the macro-scale continuum approach and revealing a synergy between both modelling strategies

Sensitivity analysis and optimal design of conventional and magnnetorheological fluid brakes

Mechanical and electrical brakes have dominated the braking industry for many years and will most likely continue to do so for the foreseeable future due to their low cost and adequate operating performance, wide range of applications, vehicle engineering, civil engineering, and biomedical engineering. Simple mechanical drum brake and magnetorheological (MR) fluid brake have presented in the current work. The main objective of this work is to increase braking torque, and to develop a new optimal design of MR fluid brake with better design and design control of the MR fluid design. To do so, four important steps have been accomplished. In the first step, a mathematical modeling of the conventional frictional brake and MR fluid brake has been developed to study and specify all design parameters. In the second step, a nondimensional, closedform analysis and a Taylor series expansion have used to examine the effects of perturbing dimensionless design parameters on the overall brakes performance. In the third step, two optimal designs for MR fluid brakes have been developed by taking advantage of sensitivity analysis and the design of experiments method also known as the Taguchi method. In the fourth step, controlling a MR fluid brake is performed by using two parallel PI controls for controlling the magnetic current and MR fluid thickness simultaneously. It was concluded that sensitivity analysis is a good method for identifying the parameters that have the greatest impact on brake performance and can be used as one method for the designer to obtain an optimal design. Four nondimensional design parameters were successfully used to describe the conventional frictional brake and seven nondimensional design parameters for MR fluid brake. Only two parameters for the conventional brake and five parameters for the MR fluid brake affect the performance and the others can be neglected. Two new designs for the MR fluid brake are presented and shown to be very simple in design, low in cost by removing a lot of additional auxiliaries for the frictional brake, and easy for control. By simultaneously controlling the MR fluid thickness and the electric current, a large range of brake torque is achieved without increasing the radial envelop for the brake, and saturation conditions in one controller are compensated for by the other controller. High angular velocities of the brake are primarily controlled by increasing the MR fluid thickness, while low angular velocities are primarily controlled by increasing the electric current. Good transient responses for regulating a constant speed (high, moderate, and low), and good stability while seeking to track a sinusoidal input have been achieved. In summary, the proposed control system for the MR fluid brake has demonstrated good controllability for the MR fluid brake.Includes bibliographical reference

Fabrication of strong magnetic micron-sized supraparticles with anisotropic magnetic properties for magnetorheology

Dr Tavacoli is acknowledged for useful discussions. This work was supported by MICINN PID2019-104883GB-I00 project (Spain), Junta de Andalucı´a P18-FR-2465 project and European Regional Development Fund (ERDF). J. R. M. acknowledges FPU14/01576 fellowship. E. C.-G. acknowledges financial support by CONACYT (Ref. #232347).We propose three different techniques to synthesize anisotropic magnetic supraparticles for their incorporation in the formulation of magnetorheological fluids with novel potential applications. The techniques include microtransfer molding, electrodeposition and microfluidic flow-focusing devices. Although the yield of these methods is not large, with their use, it is possible to synthesize supraparticles with anisotropy in both their magnetic content and shape. The magnetorheological characteristics (yield stress) of the resulting field-induced structures were computed using finite element method simulations and demonstrated to be strongly dependent on the microstructural anisotropy of the supraparticles. In anisotropic particles, the simulated yield stress is always larger than that of the isotropic ones consisting of magnetically homogeneous spherical particles.MICINN PID2019-104883GB-I00 project (Spain)Junta de Andalucía P18-FR-2465 projectEuropean Regional Development Fund (ERDF)FPU14/01576CONACYT (Ref. #232347

Steady shear flow of magnetic fiber suspensions: theory and comparison with experiments

International audienceThis paper is focused on the rheology of magnetic fiber suspensions in the presence of a magnetic field applied perpendicular to the flow. At low Mason numbers, Mn<0.1, the experimental flow curves show a steep initial section corresponding to the inclination and stretching of the gap-spanning aggregates formed upon magnetic field application. At higher Mason numbers, aggregates no longer stick to the walls and the flow curves reach a Bingham regime, with the dynamic yield stress growing with the magnetic field intensity. This yield stress appears to be about three times higher for the fiber suspensions than for the suspensions of spherical particles. Such difference, measured at relatively low magnetic field intensities, H0<30 kA/m, is explained in terms of the enhanced magnetic susceptibility of the aggregates composed of fibers compared to the aggregates composed of spherical particles. For weak magnetic fields, the forces of solid friction between fibers are expected to play a minor role on the stress level of the suspension. In order to confirm these findings, we propose a new theoretical model, taking into account hydrodynamic interactions. The flow curve and the yield stress predictions are in a good agreement with the experimental results for semi-diluted suspensions

Effect of polydispersity in concentrated magnetorheological fluids

Magnetorheological fluids (MRF) are smart materials of increasing interest due to their great versatility in mechanical and mechatronic systems. As main rheological features, MRFs must present low viscosity in the absence of a magnetic field (0.1 - 1.0 Pa.s) and high yield stress (50 - 100 kPa) when magnetized, in order to optimize the magnetorheological effect. Such properties, in turn, are directly influenced by the composition, volume fraction, size, and size distribution (polydispersity) of the particles, the latter being an important piece in the improvement of these main properties. In this context, the present work aims to analyze, through experiments and simulations, the influence of polydispersity on the maximum packing fraction, on the yield stress under field (on-state), and on the plastic viscosity in the absence of field (off-state) of concentrated MRF (phi = 48.5 vol.%). Three blends of carbonyl iron powder in polyalphaolefin oil were prepared. These blends have the same mode, but different polydispersity indexes, ranging from 0.46 to 1.44. Separate simulations show that the random close packing fraction increases from about 68% to 80% as the polydispersity index increases over this range. The on-state yield stress, in turn, is raised from 30 +/- 0.5 kPa to 42 +/- 2 kPa (B ~ 0.57 T) and the off-state plastic viscosity, is reduced from 4.8 Pa.s to 0.5 Pa.s. Widening the size distributions, as is well known in the literature, increases packing efficiency and reduces the viscosity of concentrated dispersions, but beyond that, it proved to be a viable way to increase the magnetorheological effect of concentrated MRF. The Brouwers model, which considers the void fraction in suspensions of particles with lognormal distribution, was proposed as a possible hypothesis to explain the increase in yield stress under magnetic field

침강 안정성이 향상된 고성능 자기유변유체에 대한 연구

학위논문 (박사) -- 서울대학교 대학원 : 공과대학 재료공학부, 2020. 8. 서용석.Magnetorheological (MR) fluids are typically consist of magnetic particles (Carbonyl Iron, Fe2O3, Fe3O4 and so on) in a magnetically insulating fluid (water, silicon oil and so on). When a magnetic field induces attractive interactions between the magnetic particles, these particles form a solid-like network of fibril shapes within a few milliseconds oriented along the direction of the magnetic field. Reverse transition occurs as soon as the magnetic field is switched off. These features lead to remarkable changes in the rheological properties of the fluid which shows wide potential applications such as dampers, brakes, shock observers, drug delivery, and robotics, etc and could be controlled by adjusting the strength of the magnetic field depending on applications. Despite substantial advanced in commercialization, MR fluids have long-term stability issues that significantly limit their usefulness and also need to be predicted the precise flow behavior. In this thesis, we propose the constitutive equation to predict the flow behavior of MR fluid and investigate a number of MR fluid composed of soft-magnetic composite particles to overcome the sedimentation drawback. Firstly, as modeling and analysis are essential to optimize material design, describe the flow behavior over a wide range of shear rate and distinguish between static yield stress and dynamic yield stress, the precise knowledge of the relationships between the suspension rheological properties and such variables as the deformation rate, the applied magnetic field strength, and the composition are required. So we re-analyze the constitutive equation proposed before to describe the MR fluids flow and propose new constitutive equation. The proposed Seo-Seo model predicted the flow behavior precisely compared to pre-exist constitutive model and also yielded a quantitatively and qualitatively precise description of MR fluid rheological behavior based on relatively few experimental measurements. To overcome sedimentation drawback, the core/shell structured Foamed polystyrene/Fe3O4 Particles were synthesized by applying a dual-step processing comprising pickering emulsion polymerization, subsequently by the foaming of polystyrene core using the supercritical carbon dioxide fluid foaming process. Through these processes, the density of composite was dropped significantly and the long-term stability was improved. As polystyrene located core part and magnetic particle contact directly, the magnetorheological properties of the Foamed polystyrene/Fe3O4 were considerable compared to pure Fe3O4. Even though the core/shell structured Foamed polystyrene/Fe3O4 showed considerable level, the magnetorheological properties got worsen because polystyrene is magnetically non-active. So, we synthesized hollow shape Fe3O4 particles without any magnetically non-active template. As a result, compared to the core/shell structured Foamed polystyrene/Fe3O4, the density of hollow shape Fe3O4 particles rise slightly and the magnetorheological properties reached outstanding level, and the long-term stability maintained. Also, the conformation of solid-like network of fibril shapes changes were investigated by using micro/nano size Fe3O4 particles to verify the reinforcement effect. As the particle size increases, the magnetorheological properties improve due to a rise of the magnetic saturation level. However, depending on the ratio of the nano size Fe3O4 particles, an overturning of the magnetorheological properties and the magnetic saturation was observed. This phenomenon is because of the cavity among the micro size Fe3O4 particles. The micro size Fe3O4 particles develops a relatively coarse solid-like network of fibril shapes. The chain conformation of a bidisperse MR fluid shows quite different from that of the micron size Fe3O4 particles-based fluids. The nano size Fe3O4 particles appear to fill in the cavity among the micro size Fe3O4 particles. As a result, this distinct conformation reinforced the magnetorheological properties. Finally, the shape effect of the magnetic particle on magnetorheological properties and sedimentation stability was investigated by using two types of sendust which are bulk and flake type. The flake type sendust has a small demagnetization factor because its domain orients one direction. This feature lead to extraordinary behavior which is a rapid transition to solid-like network at low magnetic field. Also, its high aspect ratio leads to a large drag coefficient which improve the long-term stability.자기유변유체는 물 또는 비수계(실리콘 오일 등)의 유체에 자화 가능한 미세입자(철 마이크로 입자)를 분산시킨 현탁액으로서, 외부로부터 제공되는 강한 자기장에 따라 짧은 시간안에 탄성, 소성, 점도 같은 자기유변효과를 나타내는 유체를 말한다. 자기유변유체는 외부 자기장에 의해 유변효과를 조절할 수 있기 때문에 다양한 응용분야로의 적용 가능성에 대한 관심이 증가하고 있다. 그러나 자성입자와 현탁 유체와의 밀도 차에 의해 발생하는 침전현상으로 인해 자기유변유체의 실제적인 응용이 제한되고 있다. 본 연구에서는 자기유변유체의 거동을 예측하는 구성방정식을 제안하고, 침전 문제를 극복하기 위해 연자성 복합체로 구성된 자기유변유체를 조사한다. 재료 설계를 최적화하기 위해 필수적으로 광범위한 전단 속도에 걸친 흐름 동작을 설명하고 정적 항복 응력과 동적 항복 응력을 구분하여야 한다. 또한, 현탁액의 유전학적 특성과 변형률, 적용된 자기장 강도 및 구성과 같은 변수 사이의 관계에 대한 정확한 지식이 필요하다. 따라서, 자기유변유체의 흐름을 설명하기 위한 기존의 제안된 구성방정식을 분석하고 새로운 구성방정식을 제안한다. 새롭게 제안한 구성 방정식인 서-서 모델은 기존에 존재하는 구성방정식과 비교하여 유체의 흐름을 정확하게 예측하였고, 비교적 적은 실험 값을 바탕으로 자기유변유체의 흐름에 대한 정량적, 질적으로 정밀한 설명을 도출하였다. 침전 문제를 극복하기 위해 피커링 에멀전 중합을 및 초임계 이산화탄소를 이용한 발포공정의 이중 공정 처리를 통해 코어-쉘 구조의 발포 스타이렌 고분자-철 복합체를 합성하였다. 이중 공정 처리를 통해 복합체의 밀도가 현저히 떨어지고 장기 안정성이 향상되었다. 또한, 스타이렌이 코어 부분에 위치하여, 철 입자가 직접적인 접촉을 통해 높은 자력 특성을 얻었다. 코어-쉘 구조의 발포 스타이렌 고분자-철 복합체의 자력 특성이 상당한 수준을 보였음에도 불구하고, 스타이렌이 자력적으로 비활성화 물질이므로 순수한 철에 비해 자력 특성은 약화되었다. 따라서 자력적으로 비활성화 물질인 스타이렌을 제거하여 지지대가 없는 중공형상의 철 입자를 합성하였다. 그 결과, 코어-쉘 구조의 발포 스타이렌 고분자-철 복합체에 비해 중공형상의 철 입자는 밀도가 약간 상승하였으나 높은 자력특성을 보였고 장기 안정성이 유지되었다. 추가적으로 마이크로/나노 크기의 철 입자를 사용하여 피브릴 구조의 보강효과를 검증하였다. 입자 크기가 증가함에 따라 자기 포화 수준의 상승으로 자력특성이 개선되었다. 그러나, 나노 크기의 철 입자의 비율에 따라 자력특성과 자기 포화 현상의 역전현상이 관찰되었다. 이 현상은 마이크로 크기의 철 입자의 피브릴 구조를 형성시에 철 입자 사이의 공동때문이다. 마이크로 크기의 철 입자는 비교적 거친 피브릴 구조를 형성한다. 혼성 자기유변체는 마이크로 크기의 철 입자와는 다른 피브릴 구조를 형성한다. 나노 크기의 철 입자들이 마이크로 크기의 철 입자 사이의 공동을 채움으로 인해서 자력특성이 향상되었다. 마지막으로, 벌크형과 박리형의 센더스트를 이용하여 자기입자의 모양이 유변적 특성에 끼치는 영향을 조사하였다. 박리형 센더스트의 자구는 한 방향으로 정렬되어 있어 작은 감자율을 갖고, 이 특징은 저자기장에서 피브릴 구조로의 빠른 전환을 가능하게 한다. 또한, 박리형 센더스트의 높은 종횡비로 인한 항력계수는 장기 안정성을 향상시켰다.Chapter 1. Introduction and Background . 0 1.1. Magnetorheological (MR) Fluids 0 1.2. Applications of MR fluids . 2 1.3. Rheology 2 1.3.1. Flow behavior . 3 1.3.1.1. Definition of terms 3 1.3.1.1.1. Shear stress 5 1.3.1.1.2. Shear rate 5 1.3.1.1.3. Shear viscosity . 5 1.3.1.2. Flow and viscosity curve 7 1.3.1.2.1. Ideal viscous flow. 7 1.3.1.2.2. Shear-thinning flow and Shear-thickening . 9 1.3.1.2.3. Yield stress 9 1.3.2. Viscoelastic behavior 11 1.3.2.1. Storage modulus and Loss modulus . 11 Reference 12 Chapter 2. Constitutive Equation . 14 2.1. Introduction . 14 2.2. Rheological Models for the Yield Stress . 18 2.2.1. Static Yield Stress versus Dynamic Yield Stress . 18 2.2.2. Yield Stress Dependency on the Magnetic Field Strength 22 2.2.3. Mechanism of Structure Evolution . 24 2.3. Conclusion . 26 Reference . 27 Chapter 3. High-Performance Magnetorheological Suspensions of Pickering Emulsion Polymerized Polystyrene/Fe3O4 Particles with Enhanced Stability 31 3.1. Introduction 31 3.2. Experimental Section 33 3.2.1. Synthesis of Polystyrene/Fe3O4 particles . 33 3.2.2. Synthesis of Foamed Polystyrene/Fe3O4 particles 34 3.2.3. Characterization 37 3.3. Results and Discussion 41 3.3.1 Morphology . 41 3.3.2. Magnetorheological Behaviors . 42 3.3.3. Yield Stress of the MR Fluids 47 3.3.4. Structure Evolution Mechanism and the Suspension Stability . 54 3.4. Conclusion . 59 References . 61 Chapter 4. Template Free Hollow Shaped Fe3O4 Micro-Particles for Magnetorheological Fluid . 65 4.1 Introduction . 65 4.2. Experiment Section . 67 4.2.1. Synthesis of Fe3O4 particles (Pure Fe3O4) . 67 4.2.2. Synthesis of PS/Fe3O4 particles (Picker) . 68 4.2.3. Synthesis of PS/Fe3O4@Fe3O4 particles (C-picker) 68 4.2.4. Synthesis of templet free hollow shaped Fe3O4 (H-Picker) . 69 4.2.5. Characterization 69 4.3. Results and Discussion . 70 4.3.1. Particle Morphologies and Magnetic Hysteresis Curve 70 4.3.2. Magnetorheological Behaviors . 76 4.3.3. Yield Stress of the MR Fluids . 80 4.3.4. Mechanism of Structure Evolution and Suspension Stability . 84 4.4. Conclusion 89 Reference 90 Chapter 5. Bidisperse MR Fluids Using Nano/micro Size Fe3O4 particles . 95 5.1. Introduction 95 5.2. Experiment Section 99 5.2.1. Material. 99 5.2.2. Characterization Methods . 99 5.3. Results and Discussion . 99 5.4. Conclusion 106 References . 107 Chapter 6. Shape effect of magnetic particle on magnetorheological (MR) properties and sedimentation stability 108 6.1. Introduction . 108 6.2. Experiment Section . 109 6.2.1. Material . 109 6.2.2. Characterization Methods 109 6.3. Results and Discussion 110 6.3.1. Particle Morphologies and Magnetic Hysteresis Curve . 110 6.3.2. Magnetorheological Behaviors 116 6.3.3. Yield Stress of the MR Fluids . 120 6.3.4. Mechanism of Structure Evolution and Suspension Stability . 124 6.4. Conclusion . 129 References 130 Chapter 7. Conclusions 135 국문초록 139 List of Publication 141 Appendix . 142 Appendix A. Improvement of Mechanical Properties by Introducing Curable Functional Monomers in Stereolithography 3D PrintingDocto

Studies of Electroconductive Magnetorheological Elastomers

Electroconductive magnetorheological elastomers (MREs) have attracted a wide scientific attention in recent years due to their potential applications as electric current elements, in seismic protection, in production of rehabilitation devices, and sensors or transducers of magnetic fields/mechanical tensions. A particular interest concerns their behavior under the influence of external magnetic and electric fields, since various physical properties (e.g., rheological, elastic, electrical) can be continuously and/or reversibly modified. In this chapter, we describe fabrication methods and structural properties from small-angle neutron scattering (SANS) of various isotropic and anisotropic MRE and hybrid MRE. We present and discuss the physical mechanisms leading to the main features of interest for various medical and technical applications, such as electrical (complex dielectric permittivity, electrical conductivity) and rheological (viscosity) properties