A continuum theory of surface piezoelectricity for nanodielectrics

Pan, Xia-Hui; Yu, Shou-Wen; Feng, Xi‐Qiao

doi:10.1007/s11433-011-4275-3

Cited by 63 publications

(27 citation statements)

References 54 publications

(85 reference statements)

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“…In comparison with other smart materials, piezoelectric reveals some important advantages such as high accuracy, generation of large forces and very fast response. Hence, piezoelectric characteristics have been of great interest and a lot of works have been devoted to investigate its different properties in different size scales [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

Javanbakht

Mohammadian

2017

Scientia Iranica

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In the present study, a layerwise finite element method is utilized to solve the coupled elasticity and piezoelectricity equations to study a functionally graded shell panel integrated with piezoelectric layers under electromechanical loading. The system of equations is reduced to ordinary differential equations with variable coefficients by means of trigonometric function expansion in circumferential and longitudinal directions satisfying mechanical and electrical boundary conditions. These equations are solved using the Galerkin FEM and Newmark method.The results of stress, displacement and electrical potential are presented and the effect of panel thickness and applied voltage on the structural behavior is investigated.

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Section: Introductionmentioning

confidence: 99%

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

Javanbakht

Mohammadian

2017

Scientia Iranica

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“…Recently, the pure mechanical theory of elasticity with surface stresses was extended for piezoelectric and flexoelectric solids; see [49,90,119,120]. This extension is important since many nanostructured materials exhibit coupling between electromagnetic field and elastic deformations; see, for example, [116,117].…”

Section: Introductionmentioning

confidence: 99%

On effective properties of materials at the nano- and microscales considering surface effects

Eremeyev

2015

Acta Mech

167

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In the last years, the rapid increase in the technical capability to control and design materials at the nanoscale has pushed toward an intensive exploitation of new possibilities concerning optical, chemical, thermoelectrical and electronic applications. As a result, new materials have been developed to obtain specific physical properties and performances. In this general picture, it was natural that the attention toward mechanical characterization of the new structures was left, in a sense, behind. Anyway, once the theoretically designed objects proceed toward concrete manufacturing and applications, an accurate and general description of their mechanical properties becomes more and more scientifically relevant. The aim of the paper is therefore to discuss new methods and techniques for modeling the behavior of nanostructured materials considering surface/interface properties, which are responsible for the main differences between nano-and macroscale, and to determine their actual material properties at the macroscale. Our approach is intended to study the mechanical properties of materials taking into account surface properties including possible complex inner microstructure of surface coatings. We use the Gurtin-Murdoch model of surface elasticity. We consider the inner regular and irregular surface thin coatings (i.e., ordered or disordered nanofibers arrays) and present few examples of averaged 2D properties of them. Since the actual 2D properties depend not only on the mechanical properties of fibers or other elements of a coating, but also on the interaction forces between them, the analysis also includes information on the geometry of the microstructure of the coating, on mechanical properties of elements and on interaction forces. Further we use the obtained 2D properties to derive the effective properties of solids and structures at the macroscale, such as the bending stiffness or Young's modulus.

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“…The surface piezoelectricity [16][17][18][19] can be considered as an extended version of the Gurtin-Murdoch model. By using the complex variable method, the original boundary value problem is reduced to a set of coupled first-order differential equations which can be solved analytically through matrix diagonalization and through the introduction of an exponential integral [20].…”

Section: Introductionmentioning

confidence: 99%

A piezoelectric screw dislocation in a bimaterial with surface piezoelectricity

Wang

Fan

2015

Acta Mech

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We study the contribution of surface piezoelectricity to the interaction between a screw dislocation and a hexagonal piezoelectric bimaterial interface. The screw dislocation suffers a finite discontinuity in the displacement and in the electric potential across the slip plane, and meanwhile is subjected to a line force and a line charge at its core. The surface piezoelectricity is incorporated by using an extended version of the continuum-based surface/interface model of Gurtin and Murdoch. An elementary solution in terms of the exponential integral is obtained. In addition, we present an explicit and concise expression of the image force acting on the piezoelectric screw dislocation. Several special cases are discussed in detail to demonstrate and validate the obtained solution. The associated problem of a piezoelectric screw dislocation interacting with a circular inclusion with surface piezoelectricity is also solved. The dislocation can be located either in the surrounding matrix or in the circular inclusion.

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A continuum theory of surface piezoelectricity for nanodielectrics

Cited by 63 publications

References 54 publications

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

On effective properties of materials at the nano- and microscales considering surface effects

A piezoelectric screw dislocation in a bimaterial with surface piezoelectricity

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