粒子分散複合材料の構成則モデルとその評価

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タイトル別名
  • Constitutive Law for Particle Dispersed Composite and its Evaluation.
  • リュウシ ブンサン フクゴウ ザイリョウ ノ コウセイソクモデル ト ソノ ヒ

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The paper describes the constitutive model for a particle dispersed composite material in elastic regime. Two models, which are EMT model and SCC model, are proposed. The former is based on the Eshelby's equivalent inclusion concept and the Mori-Tanaka's mean field theory, as published other models often practice. EMT assumes that the compliance surrounding the particle is the same as that in the matrix, whereas the SCC does in the averaged composite. In SCC, the final formula of the constitutive law is obtained in a self-consistent form, where the solution is obtained in an iterative fashion. The accuracy of those were checked with a meso-mechanics analysis by FEM performed on a uniaxial tension of an infinite composite domain. The accuracy of the models by EMT and other existing models depends on the volume fraction of the inclusion and also on the rigidity ratio of the two phases, giving satisfactory results only up to about thirty percent of volume fraction. On the other hand, SCC model returns quite a good accurcy over the entire ranges of the volume fraction and the rigidity ratio that includes void inclusions and rigid inclusions as extremes. The paper also discusses the significance of microgeometric effects on the global material performance.

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