Computational Piezo-Grains (CPGs) for a highly-efficient micromechanical modeling of heterogeneous piezoelectric–piezomagnetic composites

Bishay, Peter L.; Atluri, Satya N.

doi:10.1016/j.euromechsol.2015.05.009

Cited by 14 publications

(5 citation statements)

References 33 publications

(36 reference statements)

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“…Because of the small size of the RVE studied in this paper, the PZT particles will be meshed using the standard finite elements. However, the recently-developed Multi-Physics Computational Grains (MPCGs) family of computational methods [18], where each 2D polygon or 3D polyhedron is represented by one element that can take any arbitrary shape, can also be used instead.…”

Section: Theory Backgroundmentioning

confidence: 99%

See 1 more Smart Citation

Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

Novák

Peter

Žmindák

2019

Strojnícky Časopis - Journal of Mechanical Engineering

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The finite element method (FEM) is used to characterize the effective thermo-electromechanical material properties of cement-based piezoelectric ceramic composites in this paper. The micromechanics representative volume element (RVE) approach is used with distribution of piezoelectric particles in the porous cement matrix. The effects of the piezoelectric particle volume fraction and pore volume fraction on the effective composite properties are determined using sets of different boundary conditions. Microscale homogenization is carried out through the analysis of particles which are randomly distributed in a homogenized matrix.

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Section: Theory Backgroundmentioning

confidence: 99%

“…Similarly, we get with PVF calculated using formulas (16), (18) and (19). with PVF calculated using formulas (24) and (25).…”

Section: =  mentioning

confidence: 99%

Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

Novák

Peter

Žmindák

2019

Strojnícky Časopis - Journal of Mechanical Engineering

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“…From the standpoint of magnetostrictive materials, Bishay and Atluri [56] used Voronoi discretization with Trefftz-Lehknitskii formulation to study composites with magneto-electric coupling. Though, Kumar and Sundararaghavan [57] applied Voronoi-based discretization for simulating cold rolling process of Galfenol, the microstructure was further sub-discretized into 690 quadrilateral elements.…”

Section: Introductionmentioning

confidence: 99%

A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors

R¹,

Jayabal²

2021

Modelling Simul. Mater. Sci. Eng.

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A micromechanical model with rate effects is developed to constitute the nonlinear hysteresis sensor behaviour of Galfenol and embedded into a numerical framework, the polygonal finite element method. The model stems from the domain rotation events taking place at microlevel in response to the external magnetomechanical loads. The internal variables of the model to represent the material state at any instant are the volume fraction of the domains, and their evolution equations are derived using thermodynamic principles. Inter-domain effects within each grain are accounted in the form of back fields that act as hardening or softening parameters. The constitutive model is extended further to include the rate effects and then incorporated into a hybrid-magnetomechanical-formulation with Voronoi-based-discretization to study the behaviour of Galfenol. The Voronoi discretizations closely resemble the microstructure of Galfenol with each finite element specifying a random grain in the polycrystalline Galfenol. The developed framework is shown to simulate the major and minor loop sensor responses of the material with rate effects under complex loading conditions.

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“…Models and numerical simulations have already been developed for multiphysics problems in piezoelectric, magnetostrictive, and piezomagnetic materials in the case of small deformations [13,14,15,16,17,18,19]. Theoretical models have also been developed for thermomechanical and electromagneto-thermomechanical problems in the case of large mechanical deforma-tions [20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Modeling and simulation of nonlinear electro-thermo-mechanical continua with application to shape memory polymeric medical devices

Niyonzima

Jiao

Fish

2019

Computer Methods in Applied Mechanics and Engineering

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Shape memory materials have gained considerable attention thanks to their ability to change physical properties when subjected to external stimuli such as temperature, pH, humidity, electromagnetic fields, etc. These materials are increasingly used for a large number of biomedical applications. For applications inside the human body, contactless control can be achieved by the addition of electric and/or magnetic particles that can react to electromagnetic fields, thus leading to a composite biomaterial. The difficulty of developing accurate numerical models for smart materials results from their multiscale nature and from the multiphysics coupling of involved phenomena. This coupling involves electromagnetic, thermal and mechanical problems. This paper contributes to the multiphysics modeling of a shape memory polymer material used as a medical stent. The stent is excited by electromagnetic fields produced by a coil which can be wrapped around a failing organ. In this paper we develop large deformation formulations for the coupled electro-thermo-mechanical problem using the electric potential to solve the electric problem. The formulations are then discretized and solved using the finite element method. Results are validated by comparison with results in the literature.The increase of life expectancy creates a need to maintain the functions of 2 aging organs to allow greater independence for the elderly. Biomaterial implants 3 have the potential to fulfill some of these functions. The total number of im-4 plants in the world exceeds four hundred million per year and grows every year 5 [1]. Biomaterials are also increasingly used for a large number of biomedical ap-6 plications such as the prevention and cure of coronary heart disease and stroke, 7 as well as ophthalmological applications, biosensors and drug delivery systems 8 [2, 3]. They have the potential to contribute to the reduction of the cost of 9 health and the improvment of the life conditions. 10 Among biomaterials, shape memory materials have gained considerable at-11 tention in the biomedical community thanks to their ability to change physical 12 properties (morphing, structural rigidity, refractive index, etc.) when subjected 13to external stimuli such as temperature, pH, humidity, electromagnetic fields, 14 etc. This special behavior results from the the shape memory effect observed 15 in shape memory materials [4]. They are used in minimally invasive surgery as 16 embolic devices to treat aneurysm [5, 6] and as vascular stents [7, 8, 9]. Fig-17 ure 1 illustrate the deployment of a stent in a blood vessel. They can also be 18 used as portable sensors to monitor heart and respiratory rates and in con-19 trolled drug delivery systems thus allowing to reduce the side effects of drugs 20 [11, 12]. For these different uses, biomaterials must possess a number of prop-21 erties. They must be biocompatible to avoid toxicity in contact with biological 22 tissues. Biodegradability is a desirable property for temporary implants, and 23 for minimally invasiv...

show abstract

Computational Piezo-Grains (CPGs) for a highly-efficient micromechanical modeling of heterogeneous piezoelectric–piezomagnetic composites

Cited by 14 publications

References 33 publications

Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors

Modeling and simulation of nonlinear electro-thermo-mechanical continua with application to shape memory polymeric medical devices

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