A Fundamental Solution Based FE Model For
Thermal Analysis Of Nanocomposites
Author(s)
H. Wang & Q. H. Qin
Abstract
This paper presents a fundamental solution (FS) based finite element (FE)
formulation for analyzing the axisymmetric thermal behavior of composites
enhanced with carbon nanofibers (CNFs) or carbon nanotubes (CNTs), which are
modeled by a cylindrical representative volume element (RVE). The proposed
approach utilizes the axisymmetric FS to construct an intra-element approximate
field within the element and describes the element boundary field using
conventional shape functions. A new hybrid variational functional is developed
to establish a linkage between the independent intra-element field and the
element boundary fields and generate the final force-displacement equations.
Several numerical examples are considered to assess the efficiency and accuracy
of the proposed model. The results show that the radius of the nanofiller and the
thickness of the interface have little effect on thermal conductivity of the
composites, whereas the length of the nanofiller and the material parameters of
the interface play an important role in the effective thermal conductivity of the
composites.
Keywords: nanocomposites, fundamental solution, hybrid FEM, thermal
conductivity, cylindrical representative volume element.
1 Introduction
Over the past decades, nanomaterials have been used increasingly as ideal
additives to polymers, due to their excellent thermal, mechanical, and electrical
properties over conventional fillers like carbon fiber and glass fiber [1]. Here we
Keywords
nanocomposites, fundamental solution, hybrid FEM, thermal
conductivity, cylindrical representative volume element
Related Book
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