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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v2.i1.90
16 pages

Asymptotic Homogenization Models for Smart Composite Plates with Rapidly Varying Thickness: Part I—Theory

A. L. Kalamkarov
Mechanical Engineering Department, Dalhousie University, Halifax, Nova Scotia, B3J 2X4, Canada
A. V. Georgiades
Mechanical Engineering Department, Dalhousie University, Halifax, Nova Scotia, B3J 2X4, Canada

Краткое описание

Asymptotic homogenization models for smart composite plates with rapidly varying thickness and periodically arranged actuators are derived. The effective elastic, actuation, thermal expansion, and hygroscopic expansion coefficients are obtained. The actuation coefficients characterize the intrinsic transducer nature of active smart materials that can be used to induce strains and stresses in a coordinated fashion. Examples of such actuators employed with smart composite material systems are derived from piezoelectric, magnetostrictive, and some other materials. It is shown that the original problem for the regularly non-homogeneous smart composite plate with rapidly oscillating thickness reduces to a system of eight simpler types of problem. It is precisely these "unit-cell" problems that enable the determination of the aforementioned effective coefficients and subsequently the strain and stress fields. In the limiting case of a thin elastic plate of uniform thickness the derived model is shown to converge to the familiar classical plate model. In Part II of this work, the theory is illustrated by means of examples pertaining to a thin smart laminated plate of uniform thickness and a wafer-type smart composite plate reinforced with smart ribs oriented along the tangential directions of the plate.


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