This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.

This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.

This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.

This book contains up-to-date information on the state of the art of research and applications in electro- and magnetorheology. A total of 130 papers are presented in four sections. The first section is devoted to the various applications of ER and MR fluids, like polishing, microfluidics, vibration control, robots, shock absorbers and dampers, MR and ER valves. The second part deals with the experimental characterization as well as the theoretical prediction of the mesostructure resulting from field-induced phase separation. The dynamics of phase separation is also included in this section. The third section is about the material properties; it includes papers on new compositions of ER or MR fluids, polymer blends, magneto- or electroactive elastomers and gels. The last section, about physical mechanisms, presents experiments and theories on the rheology of the fluids and its connection with microhydrodynamics and the structure of field-induced aggregates.

This book contains up-to-date information on the state of the art of research and applications in electro- and magnetorheology. A total of 130 papers are presented in four sections. The first section is devoted to the various applications of ER and MR fluids, like polishing, microfluidics, vibration control, robots, shock absorbers and dampers, MR and ER valves. The second part deals with the experimental characterization as well as the theoretical prediction of the mesostructure resulting from field-induced phase separation. The dynamics of phase separation is also included in this section. The third section is about the material properties; it includes papers on new compositions of ER or MR fluids, polymer blends, magneto- or electroactive elastomers and gels. The last section, about physical mechanisms, presents experiments and theories on the rheology of the fluids and its connection with microhydrodynamics and the structure of field-induced aggregates.

This volume covers the most recent progress and development in the physical mechanisms, materials technology, properties and applications of electrorheological (ER) fluids. It includes papers about a newly emerging material, magneto-rheological (MR) fluids, as well. The science of ER fluids and MR fluids is making a great impact on industry and technology. Contributions come from leading experts in the field. This volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics, materials science, chemistry and engineering. It not only gives details about the leading edge of research and applications, but also provides an overall view of the field.