Two-phase potentials in the analysis of smart composites having piezoelectrical components

Kattis, M. A.; Providas, E.; Kalamkarov, Alexander L.

doi:10.1016/s1359-8368(97)00021-8

Cited by 25 publications

(13 citation statements)

References 11 publications

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“…Q = 1/K σ 0 0 1/K e , K σ denotes the bonding stiffness constant of the interface and K e is the electric spring constant [19]. For a perfect bonded interface K σ and K e tend to infinity, while if K σ = K e = 0, condition (8) reduces to the case of a traction-free interface. Firstly, let us consider the case of a single piezoelectric screw dislocation b 1 = b z1 b ϕ1 T located at the point z 1 (z 1 = x 1 + ıy 1 ) in the matrix.…”

Section: Basic Equations and Solutionsmentioning

confidence: 99%

“…The investigation of the electroelastic interaction of dislocations and inclusions is thus significant [8][9][10][11][12].…”

mentioning

confidence: 99%

“…In various studies [8][9][10][11][12] involving the electroelastic interaction of dislocations with inclusions in piezoelectric solids, the basic assumption was made that the bonding along the interface of two dissimilar materials is perfect. This is an idealization of the complex practical problem.…”

mentioning

confidence: 99%

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Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface

Jin

Fang

2007

Arch Appl Mech

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The electroelastic coupling interaction between multiple screw dislocations and a circular inclusion with an imperfect interface in a piezoelectric solid is investigated. The appointed screw dislocation may be located either outside or inside the inclusion and is subjected to a line charge and a line force at the core. The analytic solutions of electroelastic fields are obtained by means of the complex-variable method. With the aid of the generalized Peach-Koehler formula, the explicit expressions of image forces exerted on the piezoelectric screw dislocations are derived. The motion and the equilibrium position of the appointed screw dislocation near the circular interface are discussed for variable parameters (interface imperfection, material electroelastic mismatch, and dislocation position), and the influence of the nearby parallel screw dislocations is also considered. It is found that the piezoelectric screw dislocation is always attracted by the electromechanical imperfect interface. When the interface imperfection is strong, the impact of material electroelastic mismatch on the image force and the equilibrium position of the dislocation becomes weak. Additionally, the effect of the nearby dislocations on the mobility of the appointed dislocation is very important.

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Section: Basic Equations and Solutionsmentioning

confidence: 99%

“…The investigation of the electroelastic interaction of dislocations and inclusions is thus significant [8][9][10][11][12].…”

mentioning

confidence: 99%

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Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface

Jin

Fang

2007

Arch Appl Mech

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“…There are numerous contributions to the literature on electro-elastic coupling characteristics of piezoelectric composite materials. To name a few, Pak [1992a] studied the anti-plane problem of a piezoelectric circular inclusion; Meguid and Zhong [1997] provided a general solution for the elliptical inhomogeneity problem in piezoelectric material under anti-plane shear and an in-plane electric field; Kattis et al [1998] investigated the electro-elastic interaction effects of a piezoelectric screw dislocation with circular inclusion in piezoelectric material; Deng and Meguid [1998;1999] considered the interaction between the piezoelectric elliptical inhomogeneity and a screw dislocation located inside inhomogeneity and outside inhomogeneity respectively under anti-plane shear and an in-plane electric field. More recently, Huang and Kuang [2001] evaluated the generalized electro-mechanical force for dislocation located inside, outside and on the interface of elliptical inhomogeneity in an infinite piezoelectric medium.…”

Section: Introductionmentioning

confidence: 99%

Dislocation interacting with collinear rigid lines in piezoelectric media

Chen

Shu

Xiao

2007

JOMMS

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The electro-elastic interaction between a piezoelectric dislocation and collinear rigid lines embedded in a piezoelectric medium is studied in the framework of linear elastic theory. The rigid lines are considered, respectively, as dielectrics or conductors. We present a general solution of the problem based on the extended Stroh's formalism. Explicit expressions of the field intensity factors are obtained for the special case of a single rigid line. The image force acting on the piezoelectric dislocation due to the presence of a single rigid line is calculated by using the generalized Peach-Koehler formula. Numerical examples show the shielding effects of field intensity factors and image force on the dislocation. The solution we present can be served as a Green's function for investigating the micro-crack initiation mechanism at the tip of a rigid line.

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“…There are numerous contributions to the literature on electro-elastic coupling characteristics of piezoelectric composite materials. To name a few, Pak [1992a] studied the anti-plane problem of a piezoelectric circular inclusion; Meguid and Zhong [1997] provided a general solution for the elliptical inhomogeneity problem in piezoelectric material under anti-plane shear and an in-plane electric field; Kattis et al [1998] investigated the electro-elastic interaction effects of a piezoelectric screw dislocation with circular inclusion in piezoelectric material; Deng and Meguid [1998; considered the interaction between the piezoelectric elliptical inhomogeneity and a screw dislocation located inside inhomogeneity and outside inhomogeneity respectively under anti-plane shear and an in-plane electric field. More recently, Huang and Kuang [2001] evaluated the generalized electro-mechanical force for dislocation located inside, outside and on the interface of elliptical inhomogeneity in an infinite piezoelectric medium.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2007

JOMMS

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See inside back cover or http://www.jomms.org for submission guidelines.Regular subscription rate: $500 a year. It is established that upper and lower bounds predict results far apart from each other for the effective elastic properties of semicrystalline polymers such as polyethylene. This is manly due to the high anisotropy of the elastic properties of the crystals. Composite modeling has been used to predict intermediate results between the bounds. Here, we show the details of composite modeling based on a two phase inclusion (crystalline lamella and amorphous domain) as the local representative element of a semicrystalline polymer. Three approaches, two composite bounds, and a composite self-consistent model, are used to compute the overall elastic properties. Details of the development of these approaches are given in this paper. We find good agreement between results from these approaches and experimental results for polyethylene.

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Two-phase potentials in the analysis of smart composites having piezoelectrical components

Cited by 25 publications

References 11 publications

Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface

Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface

Dislocation interacting with collinear rigid lines in piezoelectric media

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