A micromechanical study on the electro-elastic behavior of piezoelectric fiber-reinforced composites using the element-free Galerkin method

Eynbeygi, Mahdi; Aghdam, M.M.

doi:10.1007/s00707-015-1371-x

Cited by 9 publications

(6 citation statements)

References 32 publications

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“…In this work, the size and shape effects, alongside fiber arrangement and distribution of the piezoceramic fiber phase has been taken into consideration using appropriate boundary conditions during the numerical analysis. Computational methods such as boundary element method (BEM) [139,140], meshless method (MM) [141,142], finite element method (FEM) [143,144], phase-field method (PFM) [145,146] and boundary node method (BNM) [147] have been used to predict effective properties in heterogeneous materials [148].…”

Section: Effective Propertiesmentioning

confidence: 99%

Effective properties and nonlinearities in 1-3 piezocomposites: a comprehensive review

Pramanik

Arockiarajan

2019

Smart Mater. Struct.

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1-3 piezocomposites are excellent candidate materials for sensor, actuator and transducer applications owing to their remarkable dielectric properties, enhanced piezoelectric coupling constants and improved hydrostatic performance along with tunable acoustic impedance, high bandwidth and reliability. These materials find extensive use in aerospace, naval and biomedical sectors. 1-3 piezocomposites show a linear response when subjected to low electric fields and/or mechanical stresses. In such cases, linear models are sufficient for predicting their linear response. But, when high electro-mechanical loads are applied to these materials, they show nonlinearity owing to the presence of a passive and viscoelastic polymer matrix phase and inherent hysteretic damping in the piezoceramic fibers. This is when it becomes mandatory to understand both their linear and nonlinear behavior under different magnitudes of thermo-electro-mechanical static and dynamic loads. Linear response is modeled using linear piezoelectric constitutive equations. Nonlinearities in the form of hysteresis, depolarization, fatigue and creep occurs in 1-3 piezocomposites, which drastically affects their accuracy, precision and efficiency. In order to understand these nonlinearities, analytical and numerical methods have been proposed by several researchers in the past. An endeavor has been undertaken to review some of the attempts made earlier in these directions. Effective properties of these inhomogeneous media are evaluated through different hypotheses and assumptions. Most often, experimental routes are undertaken to predict material properties of 1-3 piezocomposites; nevertheless, the experimental evaluation of a few material properties is quite difficult and sometimes impossible, even with the best state-of-the-art experimental facilities. This motivates researchers to develop theoretical models to predict these material properties. Nonlinearities in 1-3 piezocomposites have been studied by researchers earlier with different theoretical modeling approaches and experimental techniques. This review paper is an endeavor to discuss the progress regarding the study of effective properties and nonlinearities in 1-3 piezocomposites in a coherent and holistic manner.

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Section: Effective Propertiesmentioning

confidence: 99%

Effective properties and nonlinearities in 1-3 piezocomposites: a comprehensive review

Pramanik

Arockiarajan

2019

Smart Mater. Struct.

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“…Due to a regular distribution of fibers, it is sufficient to consider only one fiber in the square domain ( a × a ) as the RVE (Figure 1). Previous investigation revealed that the piezoelectric coefficient in the piezoelectric fiber-reinforced composite with transverse polarization could be considerably improved in comparison with pure piezoelectric materials (Eynbeygi and Aghdam, 2015). Therefore, polarization in our numerical analyses is considered in transversal direction, x 3 -axis.…”

Section: Coated Circular Piezoelectric Fiber In Piezomagnetic Matrixmentioning

confidence: 99%

Effective properties of coated fiber composites with piezoelectric and piezomagnetic phases

Sládek

Pan

2016

Journal of Intelligent Material Systems and Structures

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The finite element method is proposed to analyze coated fiber composites with piezoelectric and piezomagnetic phases. The computational homogenization technique is applied for fiber composites with magnetoelectroelastic properties to determine effective material parameters. The evolution of the magnetoelectroelastic fields at the macroscopic level is resolved through the incorporation of the microstructural response. The microstructural analyses are performed on the representative volume element, where essential physical geometrical information about the microstructural components is included. Circular cross section of fibers is considered in numerical analyses. A thin coating layer is considered on the surface of the piezoelectric fiber which is embedded in the piezomagnetic matrix. Influence of the coating layer on the effective material properties is analyzed.

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“…The advantages induce a simpler and faster preprocessing of the problem. Hence, meshless method is very useful for analysis of this kind of problems [23][24][25][26][27][28]. So far, there have been many meshless theories to analyze various engineering problems, such as the meshless element free Galerkin method (EFGM), the meshless radial point interpolation, the meshless local Petrov-Galerkin method (MLPG) and the reproducing kernel particle method.…”

Section: Introductionmentioning

confidence: 99%

An element free Galerkin method for static behavior of a magneto-electro-elastic beam in thermal environments

Chen

Hsu

2019

Smart Mater. Struct.

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In this article, an element free Galerkin method (EFGM) has been used for the static analysis of a magneto-electro-elastic (MEE) beam in thermal environments. The influence of pyro effects (pyroelectric and pyromagnetic) on the physical characteristics (displacements and the potentials) of the MEE beam under plane strain conditions in various thermal conditions are studied. The system governing equations of MEE structures are derived from the Hamilton principle and constitutive equations of linear coupling between elastic, electric, magnetic and thermal properties of MEE materials. In EFGM, the moving least squares (MLS) method is utilized to generate shape functions. Since it does not satisfy the principle of Kronecker delta, the penalty method is implemented to impose approximate boundary conditions. The result is verified and applied to reveal the effects of thermo-magnetic and thermo-electric coupling by MEE column. Further, a comparative study is made to evaluate the variations of physical characteristics along the longitudinal direction of the MEE beam in different thermal environments. Numerical results demonstrate the efficiency and accuracy of the EFG formulation to multi-physics simulation of MEE structures in thermal environments.

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A micromechanical study on the electro-elastic behavior of piezoelectric fiber-reinforced composites using the element-free Galerkin method

Cited by 9 publications

References 32 publications

Effective properties and nonlinearities in 1-3 piezocomposites: a comprehensive review

Effective properties and nonlinearities in 1-3 piezocomposites: a comprehensive review

Effective properties of coated fiber composites with piezoelectric and piezomagnetic phases

An element free Galerkin method for static behavior of a magneto-electro-elastic beam in thermal environments

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