The Influence Of Packing Dimension On
The Effective Thermal Properties Of
Doubly-periodic Composites By Using Super
Hybrid Finite Body Elements
Author(s)
Hui Wang, Yong-Peng Lei, Zhao-Ran Xiao & Li Chen
Abstract
A super polygonal hybrid element is developed for investigating the effects of
the packing dimension on effective thermal conductivities of composites
containing a doubly periodic array of circular inclusions. In the analysis, a
rectangular representative volume element (RVE) is employed to represent the
packing dimension of the periodic microstructure and then is solved using a
super hybrid finite element in which the fundamental solutions are taken as
internal interpolation functions. The fundamental solutions used to satisfy both
the heat transfer governing equation and the interfacial continuity between the
inclusion and the surrounding matrix. The use of fundamental solutions makes
the functional of stiffness matrix including boundary integrals only. As a result,
significant efforts on mesh generation can be saved, and mesh reduction as well
as high solution accuracy can be achieved. Finally, numerical examples are
considered to investigate the role of the packing dimension of the RVE.
Keywords: doubly periodic composites, packing dimension, representative
volume element, effective thermal conductivity, super hybrid finite element.
Keywords
doubly periodic composites, packing dimension, representative
volume element, effective thermal conductivity, super hybrid finite element
Related Book
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