Modeling electro-rheological materials through mixture theory

Rajagopal, Κ. R.; Yalamanchili, Raj; Wineman, Alan S.

doi:10.1016/0020-7225(94)90136-8

Cited by 22 publications

(11 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Herein, a control-oriented model is developed. Such complete, robust (yet highly complex in terms of numerical computation) models can be found in some of the following works: the bases of electro-rheology are discussed in [55]; the dynamics of an ER valve are analysed in [13,75]; the underlying physics of the flow of ER fluids are studied in [48,61,62,66,77]; also, in [35], ER fluids are studied in terms of sedimentation over usage, compliance due to impulse force response, shear stress behaviour and other characteristics; analysis of an ER fluid's flow behaviour in steady-flow conditions has been done in [56], where a test rig is used to predict the flow's behaviour for constant values of electric field excitation; complete phenomenological modelling results are presented in [18,38].…”

Section: Sa Suspension Control Workmentioning

confidence: 99%

Development of a simple ER damper model for fault-tolerant control design

Morato

Pham

Sename

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

This work presents a concise control-oriented model for electro-rheological (ER) dampers. This model can serve for faulttolerant control purposes, considering automotive suspension performance enhancement. ER dampers present, basically, a resistance against shearing that varies according to a controlled electric field. The main purpose of this work is to describe the force dynamics delivered by these ER dampers with a simple/reduced-order model that catches its overall behaviour with accuracy. One of the key points in the proposed approach is to describe the dynamics of the controlled portion of the damper force as a first-order system. Synthetically, this study is twofold: (1) the first part is an analytical approach towards the dynamic modelling of the ER damper force, wherein a reduced-order model is obtained, parameters are identified, and validation results are presented; (2) the second analyses the possible faults on these dampers and incorporates their affect to the developed model, which is of paramount importance for diagnosis and reliability of suspension systems. Hence, the proposed model is adequate for the design and synthesis of fault detection and diagnosis/fault-tolerant control (FDD/FTC) schemes, being able to run fast in real time in embedded electronic control units, that usually operate within 1-10 ms. Throughout this study, simulation and experimental validation tests are performed on a real 1/5-scaled vehicle testbed. Model parameters are identified via relatively simple procedures performed in this testbed. Results are shown to illustrate how the model can be used for FDD and FTC of semi-active suspension systems. The overall results assess the ability and the accuracy of the proposed model to characterize the force delivered by ER dampers in both healthy and faulty conditions.

show abstract

Section: Sa Suspension Control Workmentioning

confidence: 99%

Development of a simple ER damper model for fault-tolerant control design

Morato

Pham

Sename

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…After that, the first standardized approach to model these rheological behaviours under external gradient were presented by various researchers, namely, Atkin and Bullogh 14 , Abu-Jdayil and Brunn [15][16][17] , Rajagopal 5 along-with Yalamanchili 18 and Wineman 6 . Herein, they 5,6,18 adopted the classical continuum mechanics-based approach to model the rheological behaviours of ER fluids under external gradient. Further, some researchers, namely, Conard et al 19 , and Jordan et al 20 also proposed different one-dimensional models for ER fluids.…”

Section: Introductionmentioning

confidence: 99%

“…To develop the same, a thermodynamically consistent classical continuum mechanics-based approach 9, 10 is adopted. Additionally, the developed constitutive relation is also experimentally validated in contrast to the existing works 5,6,18 aimed at the pure theoretical models for smart fluids.…”

Section: Introductionmentioning

confidence: 99%

Constitutive modeling of an electro-magneto-rheological fluid: A continuum mechanics approach

Kumar

Sarangi

2021

Preprint

View full text Add to dashboard Cite

The present article deals with a continuum mechanics-based method to model an electro-magneto-rheological (EMR) fluid deformation under an electromagnetic field. The proposed method follows the fundamental laws of physics, including the principles of thermodynamics. We start with the general balance laws for mass, linear momentum, angular momentum, energy, and the second law of thermodynamics in the form of Clausius-Duhem inequality with Maxwell’s equations. Then, we derive the generalized constitutive relation for EMR fluids following the representation theorem. To validate of the same, the developed constitutive relation is applied to an electro-rheological fluid valve system. The analytical predictions of the considered system are consistent with the experimentation. At last, we simulate different velocity profiles from the developed constitutive relation in the case of the parallel plate configuration. As a result, we succeed in providing more physics-based analytical findings than the existing studies in the literature.

show abstract

“…By deriving the constitutive relations for rheological materials in which the Cauchy stress depends on an electric ®eld and the velocity gradient tensor, Rajagopal and Wineman [12,13] have studied several fundamental¯ows: the¯ow between parallel plates, Couette¯ow, and¯ow in an eccentric rotating device. Rajagopal et al [14] have adopted the concept of mixture to model ER materials. Within the framework of non-equilibrium thermodynamics, Yeh and Chen [15] have analyzed the dynamic behavior of a MR¯uid in terms of a vectorial internal variable, which describes the change of the macroscopic average of the relative position vector of suspensions.…”

Section: Introductionmentioning

confidence: 99%

Extended Irreversible Thermodynamics Approach to Magnetorheological Fluids

Chen¹,

Yeh²

2001

Journal of Non-Equilibrium Thermodynamics

View full text Add to dashboard Cite

Magnetorheological (MR)¯uids have the unique ability to change properties from those of a¯uid to those of a solid in the presence of a magnetic ®eld. In this paper, we present a phenomenological theory for MR¯uids within the framework of extended irreversible thermodynamics (EIT), which relates the dynamics of the¯uxes to the form of the nonequilibrium equation of state and introduces the elasticity of MR¯uids in a natural way. The Gibbs equation and the entropy inequality are derived to present the energy transfer and dissipative mechanisms. In particular, the viscoelastic behavior of the pre-yield regime and the¯uid behavior of the post-yield regime are discussed in depth. Finally, according to the entropy inequality, we propose a mechanical model of MR¯uids that can characterize the duplicate phenomena of the¯uid-solid transition. The results of a numerical analysis of this model correspond with those of the functional tests of an MR damper.

show abstract

Modeling electro-rheological materials through mixture theory

Cited by 22 publications

References 8 publications

Development of a simple ER damper model for fault-tolerant control design

Development of a simple ER damper model for fault-tolerant control design

Constitutive modeling of an electro-magneto-rheological fluid: A continuum mechanics approach

Extended Irreversible Thermodynamics Approach to Magnetorheological Fluids

Contact Info

Product

Resources

About