A microstructural-based approach to model magneto-viscoelastic materials at finite strains

García-González, Daniel; Hossain, Mokarram

doi:10.1016/j.ijsolstr.2020.10.028

Cited by 62 publications

(50 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The functions of specific strain energy density thus constructed can describe solids with complex anisotropy. The description of media with viscoelastic [3,11] or elastic-plastic or other properties is also possible within the framework of a mechanical-geometric approach. Thus, in [12], MGM describing viscoelastic media with effects characteristic of such media (relaxation, creep, hysteresis loop) were shown.…”

Section: Discussionmentioning

confidence: 99%

“…It should be noted that MGM is initially a model of a compressible solid. Therefore, given that the classic Mooney-Rivlin and Yeoh models characterize incompressible solids, an additional incompressibility condition was added for MGM 3 1 I , where It should be noted that the parameters determined by the same stretch diagram (uniaxial stretch-compression of Yeoh material), but at different limits of elongation ratio, differ. Narrowing the interval naturally improves the approximation quality of the MG model.…”

Section: Comparative Models' Analysismentioning

confidence: 99%

“…The linear theory of elasticity fails to describe the properties of such materials, as their reactions to external loads are significantly non-linear. The problem of constructing constitutive relations for such materials is also relevant due to the appearance of materials with complex structures and physical properties [3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stretching of the mechanical-geometric model and two common nonlinear elastic solids

Azarov

2021

E3S Web Conf.

View full text Add to dashboard Cite

The variety of hyperelastic materials and the design of new modifications and technical applications requires the development of a description of nonlinear deformation properties. The most commonly used constitutive relations of the Mooney-Rivlin and Yeoh models are based on polynomial decompositions. Mechanical-geometric modeling (hereinafter - MGM) is a new way of constructing constitutive relations and strain energy densities within the nonlinear theory of elasticity. In this paper, a comparison of the deformation behavior of MGM with the traditional Mooney-Rivlin and Yeoh models was carried out. Comparative analysis is accompanied by diagrams for uniaxial and biaxial stretching. The effectiveness of the new model was proved.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Comparative Models' Analysismentioning

confidence: 99%

See 1 more Smart Citation

Stretching of the mechanical-geometric model and two common nonlinear elastic solids

Azarov

2021

E3S Web Conf.

View full text Add to dashboard Cite

show abstract

“…Garcia‐Gonzalez et al, for instance, developed a finite‐strain version of the lattice model to capture the viscoelastic behavior of magnetoactive polymers. [ 51 ] In this model, the matrix is assumed to be the combination of purely hyperelastic and rate‐dependent components. The magnetic particles, being much stiffer than the polymer, do not only contribute with the magnetic response but also influence the overall mechanic stiffness of the composite.…”

Section: Physical Models For Mresmentioning

confidence: 99%

Magnetorheological Elastomer‐Based Materials and Devices: State of the Art and Future Perspectives

et al. 2021

View full text Add to dashboard Cite

Magnetorheological elastomers based on the combination of a polymeric matrix with magnetic fillers allow the possibility of controlling their mechanical properties when an external magnetic field is applied. This so‐called magnetorheological effect can be exploited for a variety of applications. Herein, a comprehensive outlook at the state of the art is provided, in terms of the materials, effects, and applications. The physical effects that result in the magnetorheological effect are described, both from a micro and phenomenological points of view. Then, the possible combinations of different polymeric matrices and magnetic fillers, along with other additives, are presented, allowing to tune the mechanical properties, mainly dependent on the polymer matrix, and the magnetic field response, which is related to the magnetic filler. Finally, representative applications of magnetorheological elastomers are presented. This review represents an up‐to‐date state‐of‐the‐art in the field of magnetorheological elastomers as a ground to highlight the main achievements and point the specific needs to improve their response and applicability by further tuning materials and configurations.

show abstract

“…From the viewpoint of dissipative MREs, Saxena et al (2013Saxena et al ( , 2014 and Hossain et al (2015) have included the effect of viscoelasticity in a top-down approach to analyze the impact of cyclic loading and curing in the response and fabrication of MREs. By contrast, following a bottom-up approach, Garcia-Gonzalez and Hossain (2020) provided a micromechanical model based on dipole interactions for magneto-viscoelastic materials. Additional contributions including the effect of diffusion may also be mentioned in the context of dissipative magneto-rheological gels (Garcia-Gonzalez and Landis, 2020).…”

Section: Introductionmentioning

confidence: 99%

An explicit dissipative model for isotropic hard magnetorheological elastomers

Mukherjee

Rambausek

Danas

2021

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

Hard magnetorheological elastomers (h-MREs) are essentially two phase composites comprising permanently magnetizable metallic inclusions suspended in a soft elastomeric matrix. This work provides a thermodynamically consistent, microstructurally-guided modeling framework for isotropic, incompressible h-MREs. Energy dissipates in such hardmagnetic composites primarily via ferromagnetic hysteresis in the underlying hard-magnetic particles. The proposed constitutive model is thus developed following the generalized standard materials framework, which necessitates suitable definitions of the energy density and the dissipation potential. Moreover, the proposed model is designed to recover several well-known homogenization results (and bounds) in the purely mechanical and purely magnetic limiting cases. The magneto-mechanical coupling response of the model, in turn, is calibrated with the aid of numerical homogenization estimates under symmetric cyclic loading. The performance of the model is then probed against several other numerical homogenization estimates considering various magneto-mechanical loading paths other than the calibration loading path. Very good agreement between the macroscopic model and the numerical homogenization estimates is observed, especially for stiff to moderately-soft matrix materials. An important outcome of the numerical simulations is the independence of the current magnetization to the stretch part of the deformation gradient. This is taken into account in the model by considering an only rotation-dependent remanent magnetic field as an internal variable. We further show that there is no need for an additional mechanical internal variable. Finally, the model is employed to solve macroscopic boundary value problems involving slender h-MRE structures and the results match excellently with experimental data from literature. Crucial differences are found between uniformly and non-uniformly pre-magnetized h-MREs in terms of their pre-magnetization and the associated self-fields.

show abstract

A microstructural-based approach to model magneto-viscoelastic materials at finite strains

Cited by 62 publications

References 66 publications

Stretching of the mechanical-geometric model and two common nonlinear elastic solids

Stretching of the mechanical-geometric model and two common nonlinear elastic solids

Magnetorheological Elastomer‐Based Materials and Devices: State of the Art and Future Perspectives

An explicit dissipative model for isotropic hard magnetorheological elastomers

Contact Info

Product

Resources

About