A semi-analytical method for piezocomposite structures with arbitrary interfaces

Kamali, M.T.; Shodja, H.M.

doi:10.1016/j.cma.2004.11.014

Cited by 11 publications

(4 citation statements)

References 20 publications

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“…In view of relations (13) and (14), and symmetry conditions C ijkl = C jikl = C ijlk , and e kij = e kji , the left-hand side of Eq. (37) may be written as…”

Section: Static Analysismentioning

confidence: 99%

“…Except for the work of Vel and Batra [26] who employ Eshelby-Stroh formalism and consider various types of boundary condition, all the above mentioned contributions address simply supported type boundary conditions only. Static analysis of piezocomposite plates with complex geometries and non-planar boundaries are given by Shodja and Kamali [23] and Kamali and Shodja [14]. As far as the analytical methods for treatment of vibrations of piezoelectric plates are concerned the works of Vel et al [27], Heyliger and Brooks [8], and Heyliger and Saravanos [10], and in the case of elastic plates the works of Jones [12,13] and Sirinivas [24], and Sirinivas and Rao [25] should be mentioned.…”

Section: Introductionmentioning

confidence: 98%

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Elastic/piezoelectric solids with electro-mechanical singular surfaces

Shodja

Kamali

2006

Comput Mech

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When a tensor-valued function σ (x) is continuous in regions 0 and 1 , but has a finite jump across the interface 01 between 0 and 1 , then 01 is referred to as singular surface relative to the field σ (x). In this paper, it is intended to give a general treatment of three-dimensional static and free vibration analysis of bodies composed of multi-phase elastic and/or piezoelectric bodies with electro-mechanical singular surfaces. The geometry of the medium, boundary conditions, and the geometry of the singular surfaces may be arbitrary. The displacement field and the electric potential in each region are expressed in terms of functions composed of 3-D series and special 3-D functions. The composite functions are selected in such a way that they satisfy exactly: (1) the continuity of the displacement and the electric potential across the singular surfaces; and (2) the homogeneous and inhomogeneous kinematical boundary conditions. This methodology leads to remarkable accuracies in computation of the field quantities, including the quantities, which are discontinuous across the singular surfaces. Taking advantage of any symmetry that may be present in the problem, will substantially increase the convergence rate. For illustrations several examples are examined. Comparisons

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“…In view of relations (13) and (14), and symmetry conditions C ijkl = C jikl = C ijlk , and e kij = e kji , the left-hand side of Eq. (37) may be written as…”

Section: Static Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Elastic/piezoelectric solids with electro-mechanical singular surfaces

Shodja

Kamali

2006

Comput Mech

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“…As the capacity increases the degree of electrical imperfection decreases, and perfect electrical interface prevails as the capacity approaches infinity. The technique previously proposed by Shodja and Kamali (2003), Kamali and Shodja (2005), and Kamali and Shodja (2006a,b) is generalized to treat such a wide range of boundary value problems in a unified manner. These contributions are specifically devoted to perfect interface conditions.…”

Section: Introductionmentioning

confidence: 99%

A piezoelectric medium containing a cylindrical inhomogeneity: Role of electric capacitors and mechanical imperfections

Shodja

Tabatabaei

Kamali

2007

International Journal of Solids and Structures

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Often, during fabrication processes of fiber-matrix composites, the pertinent interface may be made imperfectly bonded either deliberately or undesirably. The effect of electric capacitors and mechanical imperfections on the electro-mechanical fields associated with an anisotropic piezoelectric matrix containing a cylindrical inhomogeneity made of a different anisotropic piezoelectric material is of interest. In fact the interface imperfection condition presented in this paper is quite general, in the sense that any combination of mechanical and electrical imperfections may exist. The interface electrical imperfection is mimicked by the electric capacitors. The capacity of the capacitors is a measure of the electrical imperfection. The notion of complete electric barrier realizes when the capacity is equal to zero. For finite values of capacity, different electrical imperfections are modeled. When the capacity is infinitely large, perfect electrical interface reveals.

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“…This approach has been employed in some articles. [9][10][11][12] It is noteworthy to mention that the interface failure in the realm of elastic materials occurs in the form of normal debonding, inplane sliding, out-of-plane sliding or any combination of these types. In other words, imperfection takes place only in the form of displacement discontinuities.…”

Section: Introductionmentioning

confidence: 99%

Characterization of piezoelectric composites with mechanical and electrical imperfect contacts

Rodrı́guez-Ramos

Guinovart-Dı́az

López-Realpozo

et al. 2015

Journal of Composite Materials

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The aim of the present work is to study the influence of the mechanical and electrical imperfections in reinforced piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. The behavior of the composites is studied through two approaches: the two-scale asymptotic homogenization method and the finite element method. The asymptotic homogenization method is applied to a two-phase composite with mechanical and electrical imperfect contacts and to a three-phase composite with perfect contact in the interphase. The constituents of the composite are homogeneous piezoelectric materials with transversely isotropic properties. The local problems are formulated for the spring-capacitor and three-phase models by the asymptotic homogenization method. The solution of each plane local problem is found using potential methods of a complex variable and the properties of doubly periodic Weierstrass elliptic functions. Closed-form formulae are obtained for the effective properties of the composites with both types of imperfect contacts and different configuration of the cells. The finite element method is implemented for analysis of piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. Some numerical examples are given under the presence of both imperfect contacts and different arrangement of the cells. Comparisons between the numerical results reported by asymptotic homogenization method and finite element method are provided.

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A semi-analytical method for piezocomposite structures with arbitrary interfaces

Cited by 11 publications

References 20 publications

Elastic/piezoelectric solids with electro-mechanical singular surfaces

Elastic/piezoelectric solids with electro-mechanical singular surfaces

A piezoelectric medium containing a cylindrical inhomogeneity: Role of electric capacitors and mechanical imperfections

Characterization of piezoelectric composites with mechanical and electrical imperfect contacts

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