Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory

Dadgar‐Rad, Farzam; Hossain, Mokarram

doi:10.1016/j.ijsolstr.2022.111747

Cited by 22 publications

(30 citation statements)

References 65 publications

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“…The current research is essentially the continuation of the previous work of the authors, namely Dadgar-Rad and Hossain [32], which had been developed for three-dimensional bodies.…”

Section: Introductionmentioning

confidence: 88%

“…where θ = −Eθ, or θij = −ǫ ijk θ k , is the skew-symmetric tensor corresponding to θ. Moreover, ǫ ijk are the components of the alternating symbol E. By defining δθ as the virtual micro-rotation pseudo-vector, the variation of R may be expressed via the following relations [32,52] δ R = δ ω R with δ ω = −Eδω, δω = Λδθ…”

Section: A Brief Review Of the Micropolar Continuum Theorymentioning

confidence: 99%

“…Theoretical modeling of HMSMs has been the subject of a plethora of research articles in recent years (e.g., [23][24][25][26][27][28][29][30][31][32]). In particular, Zhao et al [24] developed a continuum formulation with an asymmetric Cauchy stress tensor, which is very similar to the classical continuum theory in the sense that it neither needs non-classical material parameters nor additional degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

“…[31]. From a different point of view, Dadgar-Rad and Hossain [32] focused on the well-known phenomenon that the interaction between remnant and external magnetic fluxes induces a body couple on the continuum body (e.g., [40]). Therefore, the Cauchy stress in HMSMs is asymmetric, as had been previously pointed out by Zhao et al [24].…”

Section: Introductionmentioning

confidence: 99%

“…However, instead of following the methodology advocated in [24], the authors developed a formulation based on micropolar continuum theory to model the finite deformation of three-dimensional bodies made of HMSMs. Two significant differences between the results of the formulation of Zhao et al [24] and those based on the micropolar-enhanced formulation have been expressed by Dadgar-Rad and Hossain [32].…”

Section: Introductionmentioning

confidence: 99%

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A micropolar shell model for hard-magnetic soft materials

Dadgar‐Rad¹,

Hossain²

2022

Preprint

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Hard-magnetic soft materials (HMSMs) are particulate composites that consist of a soft matrix embedded with particles of high remnant magnetic induction. Since the application of an external magnetic flux induces a body couple in HMSMs, the Cauchy stress tensor in these materials is asymmetric, in general. Therefore, the micropolar continuum theory can be employed to capture the deformation of these materials. On the other hand, the geometries and structures made of HMSMs often possess small thickness compared to the overall dimensions of the body.Accordingly, in the present contribution, a 10-parameter micropolar shell formulation to model the finite elastic deformation of thin structures made of HMSMs and subject to magnetic stimuli is developed. The present shell formulation allows for using three-dimensional constitutive laws without any need for modification to apply the plane stress assumption in thin structures. Due to the highly nonlinear nature of the governing equations, a nonlinear finite element formulation for numerical simulations is also developed. To circumvent locking at large distortions, an enhanced assumed strain formulation is adopted. The performance of the developed formulation is examined in several numerical examples. It is shown that the proposed formulation is an effective tool for simulating the deformation of thin bodies made of HMSMs.

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“…The current research is essentially the continuation of the previous work of the authors, namely Dadgar-Rad and Hossain [32], which had been developed for three-dimensional bodies.…”

Section: Introductionmentioning

confidence: 88%

Section: A Brief Review Of the Micropolar Continuum Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A micropolar shell model for hard-magnetic soft materials

Dadgar‐Rad¹,

Hossain²

2022

Preprint

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The Modeling of Magnetorheological Elastomers: A State‐of‐the‐Art Review

Saber

2023

Adv Eng Mater

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The magnetorheological elastomers (MREs) are novel multifunctional materials wherein their viscoelastic properties can be varied instantly under an application of applied magnetic field. Due to their field‐dependent stiffness and damping properties, MREs are widely used in the development and design of MRE‐based adaptive vibration isolators and absorbers and also biomedical engineering. Moreover, MREs due to their inherent magnetostriction effect have enormous potential for the development of soft actuators. The dynamic behavior of MREs is affected by various material parameters (e.g., matrix and particle types, particle concentration, additives) as well as mechanical and magnetic loading parameters (e.g., frequency, amplitude, temperature, magnetic flux density). Understanding and predicting the effect of materials and loading parameters on the response behavior of MREs are of paramount importance for the design of MRE‐based adaptive structures and systems. This review paper mainly aims to provide a comprehensive study of material constitutive models to predict the nonlinear magnetomechanical behavior of MREs. Particular emphasis is paid to physics‐based models including continuum‐ and microstructure‐based models. Moreover, phenomenological models describing the dynamic magnetoviscoelastic behavior of MREs as well as the effect of temperature on the magnetomechanical behavior of such materials are properly addressed.

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