T. Matsuoka et al., Prediction of structures and mechanical properties of composites using a genetic algorithm and finite element method, J MATER SCI, 36(1), 2001, pp. 27-33
A combined method of a genetic algorithm and finite element stress analysis
has been developed to design the structure of materials. The genetic algor
ithm is applied to searching structures that have a desired property by com
bining it with the finite element analysis, which is used to predict the el
astic modulus and Poisson's ratio. The calculation of the stress analysis i
s validated from the comparison with the theory on parallel, series, and ra
ndom structures. The combined method was applied to two searches of structu
res. One was to find structures that have a desired elastic modulus, respec
tively. The calculation successfully found a proper structure for each desi
red elastic modulus. The other was the search of the structure that shows a
negative Poisson's ratio. A structure having the negative Poisson's ratio
was generated by the calculation. Although this original structure would ap
pear to have no features, it gave us a good idea for the design of material
s by investigating the stress distribution in the original structure. A new
structure that consists of a unique and continuous pattern of the higher e
lastic component was designed from the calculation. The reason for the nega
tive Poisson's ratio is explained by mechanical linkage. (C) 2001 Kluwer Ac
ademic Publishers.