球殻構造体分散系の粘弾性

概要

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The bulk modulus κ* and the rigidity μ* of dilute dispersions of spherical shell structures have been calculated by using the following equations : κ*=(Q-4cμQ')/(Q+3cQ') and (μ* )/μ=(Γ-3/2cΓ')/(Γ+cΓ') where κand μare the bulk modulus and the rigidity of the medium, c is the volume concentration of the structures composed of the shell region with κ_m, μ_m and the inside region with κ', μ', Q=(3κ'+4μ_m)(3κ_m+4μ)+12A^3(κ'-κ_m)(μ_m-μ), Q'=(κ-κ_m)(3κ'+4μ_m)-A^3(κ'-κ_m)(3κ+4μ_m), Γ=Γ_Aμ_m^2+Γ_Bμ_mμ+Γ_Cμ_^2, Γ'=Γ_A'μ_m^2+Γ_B'μ_mμ+Γ_C'μ^2, Γ_A=-38μ_2μ_4+(450-672A^2)A^3μ_1μ_4+400A^7μ_1μ_3-1824A^<10>μ_1^2=-Γ_A', Γ_B'=-89μ_2μ_4+(150-336A^2)A^3μ_1μ_4+200A^7μ_1μ_3+3648A^<10>μ_1^2, Γ_B'=-6μ_2μ_4+(500-1344A^2)A^3μ_1μ_4+800A^7μ_1μ_3-608A^<10>μ_1^2, Γ_C=-48μ_2μ_4-(600-1008A^2)A^3μ_1μ_4-600A^7μ_1μ_3-1824A^<10>μ_1^2=3/2Γ_C', μ_1=μ_m-μ', μ_2=3μ_m+2μ', μ_3=18μ_m+19μ', μ_4=16μ_m+19μ', A=a'/a, a and a' are the inner and the outer radii of the shell, respectively.
社団法人日本材料学会の論文
1973-05-15