Finite Element Approach for Composite Magneto-Piezoelectric Materials Modeling in ACELAN-COMPOS Package

Kurbatova, Natalia V.; Nadolin, D. K.; Наседкин, А. В.; Oganesyan, P.; Soloviev, А. N.

doi:10.1007/978-981-10-6895-9_5

Cited by 16 publications

(8 citation statements)

References 21 publications

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“…This work continues the series of publications of the authors [26,28,30]. The solvers presented in this article are embedded in the ACELAN COMPOS application software package for modeling the properties of new materials [18,20]. In recent years, the main distinguishing feature of processors is that the execution time of arithmetic operations is more than an order of magnitude bigger than the time of reading the arguments of such operations from RAM [16].…”

Section: Introductionmentioning

confidence: 74%

Fast Solvers for Systems of Linear Equations with Block-Band Matrices

Steinberg¹,

Steinberg²,

Oganesyan³

et al. 2023

EAJAM

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This article deals with parallel iterative algorithms for linear systems with block-band matrices. The algorithms can be used in mathematical modeling of the problems involving finite difference and finite element methods. The solvers are adjusted to the problem and to the computing systems, which use special precompilers. Applications of the algorithms to the ACELAN-COMPOS software package focused on the new material modeling, is described. To achieve a high performance, both parallel programming techniques and the optimization of the processor memory hierarchy are used. The results of numerical experiments confirm the efficiency of the methods and algorithms.

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Section: Introductionmentioning

confidence: 74%

Fast Solvers for Systems of Linear Equations with Block-Band Matrices

Steinberg¹,

Steinberg²,

Oganesyan³

et al. 2023

EAJAM

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“…The homogenization problems described in the previous section were solved by the finite element method in the specialized ACELAN–COMPOS finite element package [22, 44–47]. Representative volumes in ACELAN–COMPOS are created immediately in the form of a regular finite element mesh consisting of cubic finite elements with corresponding material properties for different phases of the composite.…”

Section: Calculation Of Effective Properties For Porous Piezoceramicsmentioning

confidence: 99%

“…The pores were modeled as a second material with negligible elastic stiffnesses, piezoelectric moduli, and dielectric permittivities equal to the dielectric constant of vacuum

ε_{0} = 8.85 \cdot 10^{- 12}

(F/m). The input data for generating a representative volume in ACELAN–COMPOS are the following parameters [44–47]: connectivity type of composite (3–3, 3–1, 3–0), percentage of porosity or fraction of inclusions, number of finite elements along the axis. Generation is carried out by forming separate domains of 8 3 = 512 finite elements, which are the smallest possible representative volume with a given type of connectivity.…”

Section: Calculation Of Effective Properties For Porous Piezoceramicsmentioning

confidence: 99%

Analysis of Rosen type energy harvesting devices from porous piezoceramics with great longitudinal piezomodulus

2020

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This paper describes analytical and numerical modeling of the energy harvesting device based on composite piezoelectric materials. The device is a nonuniformly polarized porous piezoceramic compound plate such as a Rosen‐type piezoelectric transformer with single bimorph section. The effective properties of porous piezoceramics with great longitudinal piezoelectric strain coefficient d33 were calculated in the ACELAN‐COMPOS finite element package. An analytical applied theory for a piecewise uniformly polarized piezoelectric generator was developed and compared with the results of finite element simulation performed in ACELAN package. An efficient design of a cantilever‐based energy harvesting device is proposed. The analysis of the considered devices depending on the percentage of porosity of piezoceramics and boundary conditions is carried out. It is shown that with an increase in the percentage of porosity, the output characteristics of energy harvesting devices improve. In addition, different boundary conditions were studied for specific PEG made of porous ceramics with non‐homogeneous polarization to find more effective scheme of fixing.

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“…На пьезомагнитный слой действует переменное магнитное поле по гармоническому закону, внешний радиус подложки шарнирно закреплен. Математической моделью поперечных установившихся колебаний описанной конструкции является краевая задача линейной теории пьезомагнитоэлектроупругости [4]. В качестве инструмента решения выбран пакет ANSYS, в котором реализована модель пьезоэлектричества.…”

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“…Краевая задача для пьезомагнитоэлектрического тела состоит из системы уравнений и граничных условий [4]:…”

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Transverse vibrations of a circular bimorph with piezoelectric and piezomagnetic layers

Соловьев

Бинь

Lesnyak

2020

Vestnik Donskogo gosudarstvennogo tehničeskogo universiteta

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Введение. Статья посвящена исследованию поперечных осесимметричных колебаний биморфа с двумя пьезоактивными слоями: пьезоэлектрическим и пьезомагнитным. Этот элемент может найти применение в устройстве накопления энергии, которое находится в переменном магнитном поле. Целью работы являлось исследование зависимости частот резонанса, антирезонанса и коэффициента электромеханической связи от геометрических параметров элемента. Материалы и методы. Математической моделью работы пьезоэлемента является краевая задача линейной магнитоэлектроупругости. Элемент состоит из трех слоев: двух пьезоактивных (PZT-4 и CoFe 2 O 4) и среднего пассивного слоя, выполненного из стали. В качестве метода решения краевой задачи используется метод конечных элементов, реализованный в пакете ANSYS. Результаты исследования. Разработана конечно-элементная модель пьезоэлемента в пакете ANSYS. Решены задачи определения собственных частот резонанса и антирезонанса. Построены графические зависимости этих частот и коэффициента электромеханической связи в зависимости от геометрических параметров устройстватолщины и радиуса пьезоактивных слоев. Обсуждение и заключения. Полученные результаты могут быть использованы в процессе конструирования рабочего элемента устройства накопления энергии за счет действия переменного магнитного поля. Построенные зависимости собственных частот резонанса и антирезонанса от геометрических параметров пьезоэлемента позволяют выбрать размеры пьезоактивных слоев для заданной рабочей частоты при наибольшем коэффициенте электромеханической связи. Ключевые слова: устройство накопления энергии, пьезоэлектрики, пьезомагнетики, метод конечных элементов, собственные частоты колебаний.

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Finite Element Approach for Composite Magneto-Piezoelectric Materials Modeling in ACELAN-COMPOS Package

Cited by 16 publications

References 21 publications

Fast Solvers for Systems of Linear Equations with Block-Band Matrices

Fast Solvers for Systems of Linear Equations with Block-Band Matrices

Analysis of Rosen type energy harvesting devices from porous piezoceramics with great longitudinal piezomodulus

Transverse vibrations of a circular bimorph with piezoelectric and piezomagnetic layers

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