Numerical Experiments For Inverse Analysis Of
Material Properties And Size In Functionally
Graded Materials Using The Artificial
Bee Colony Algorithm
Author(s)
H. Sakurai
Abstract
Functionally graded materials (FGMs) possess properties that vary gradually and
are highly heat resistant. When incorporating these FGMs into a structure, the
required distribution of material properties must be determined and produced to
specification. Thus far, an inverse analysis method has been used for estimating
a distribution of a Young’s modulus of FGMs. However, minimizing an
objective function to estimate a material property using the Davidon-Fletcher-
Powell method did not converge under some initial conditions. Therefore,
convergence of a solution depends on initial conditions. On the other hand, the
Artificial Bee Colony (ABC) algorithm has drawn considerable interest in global
optimization of a multimodal function. The objective of the present paper is to
propose a method of numerical experimentation to conduct inverse analysis in
FGMs with the ABC algorithm. A numerical experiment estimating both size
and a graded index of an FGM beam that is based on measured stress values is
presented. Next, determining a distribution of thermal conductivity in twodimensional
FGMs using measured steady state temperatures is carried out. The
results of the numerical experiments demonstrate the effectiveness of the
proposed method.
Keywords: numerical experiment, inverse analysis, functionally graded
material, graded index, thermal conductivity, Artificial Bee Colony algorithm.
Keywords
numerical experiment, inverse analysis, functionally gradedmaterial, graded index, thermal conductivity, Artificial Bee Colony algorithm.
Related Book
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