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Composites: Mechanics, Computations, Applications: An International Journal

Published 4 issues per year

ISSN Print: 2152-2057

ISSN Online: 2152-2073

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 0.2 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 0.3 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00004 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.08 SJR: 0.153 SNIP: 0.178 CiteScore™:: 1 H-Index: 12

Indexed in

INTEGRAL FORMULAS IN ELECTROMAGNETIC ELASTICITY OF HETEROGENEOUS BODIES. APPLICATION IN THE MECHANICS OF COMPOSITE MATERIALS

Volume 8, Issue 2, 2017, pp. 147-170
DOI: 10.1615/CompMechComputApplIntJ.v8.i2.40
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ABSTRACT

Equilibrium of an elastic body from inhomogeneous material, possessing piezo properties, is considered. Deformed and electrical states of such body are described by a system of four coupled partial differential equations with variable coefficients relative to three components of the displacement vector and the scalar electrostatic potential. The problem for the heterogeneous body is called the initial problem. Along with the initial problem, we consider just the same problem for a homogeneous body of the same shape, i.e., the accompanying problem. New integral formulas that allow expressing the solution of the initial boundary-value problem in terms of the solution of the accompanying boundary-value problem and the Green tensor of the initial problem are obtained. From the integral formulas there follow the expressions for effective characteristics of arbitrarily inhomogeneous piezomaterial. The use of such expressions for specific computations requires a preliminary solution of auxiliary boundary-value problems. These problems are stated and an analytical solution for a partial case of an infinite nonuniform (over the thickness) layer is found. Exact analytical expressions for effective electromechanical characteristics are constructed. Moreover, the integral formulas were used to derive an equivalent representation of the solution of the initial problem in the form of series with respect to all possible derivatives of the solution of the accompanying problem. Recurrent equations are obtained for coefficients of the series (structural functions).

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