Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/14041
Title: Asymptotic homogenization model for three-dimensional network reinforced composite structures
Authors: Challagulla, Krishna S. 
Georgiades, Tasos 
Kalamkarov, A. L. 
metadata.dc.contributor.other: Γεωργιάδης, Τάσος
Major Field of Science: Engineering and Technology
Field Category: Mechanical Engineering
Keywords: 3D spatial network;Asymptotic homogenization;Composite structures;Effective elastic coefficients;Unit cell
Issue Date: 1-Apr-2007
Source: Journal of Mechanics of Materials and Structures,2007, vol. 2, no. 4, pp. 613–632
Volume: 2
Issue: 4
Start page: 613
End page: 632
Journal: Journal of Mechanics of Materials and Structures 
Abstract: The method of asymptotic homogenization is used to develop a comprehensive micromechanical model pertaining to three-dimensional composite structures with an embedded periodic network of isotropic reinforcements, the spatial arrangement of which renders the behavior of the given structures macroscopically anisotropic. The model developed in this paper allows the transformation of the original boundary value problem into a simpler one that is characterized by some effective elastic coefficients. These coefficients are calculated from a so-called unit cell or periodicity problem, and are shown to depend solely on the geometric and material characteristics of the unit cell and are completely independent of the global formulation of the boundary-value problem. As such, the effective elastic coefficients are universal in nature and can be used to study a wide variety of boundary value problems. The model is illustrated by means of several examples of a practical importance and it is shown that the effective properties of a given composite structure can be tailored to satisfy the requirements of a particular application by changing certain geometric parameters such as the size or relative orientation of the reinforcements. For the special case in which the reinforcements form only a two-dimensional (in-plane) network, the results converge to those of previous models obtained either by means of asymptotic homogenization or by stress-strain relationships in the reinforcements.
ISSN: 15593959
DOI: 10.2140/jomms.2007.2.613
Rights: © Mathematical Sciences Publishers
Type: Article
Affiliation: Dalhousie University 
Affiliation : Dalhousie University 
Publication Type: Peer Reviewed
Appears in Collections:Άρθρα/Articles

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