Abstract: The overall material constant of a composite material is computed where the composite material includes multiple kinds of material components in a matrix phase, each of the material constants of the material components and the matrix phase being known. First, for the composite material, an equation, having the material constant of a virtual composite material as an unknown, is prepared by defining the virtual composite material in which each of the material components is dispersed in a form of spherical particles in the matrix phase at a known volume fractions. Next, the overall material constant of the virtual composite material is found as the overall material constant of the composite material by solving the equation. In this case, the equation is a recursive equation which is obtained using the self-consistent method. The volume fraction of a material component in the composite material is computed using the equation.

Abstract: In a method of computing the overall material constant of a composite material, a virtual composite material is defined as the one that a first material component is dispersed in a form of inner spherical particles in a matrix phase and each of the inner spherical particles is enveloped by the second material component, in a form of outer shell layers, as a coating layer. Based on this, a nonlinear equation is prepared, which has the material constant of the virtual composite material as an unknown. Next, the material constant of the virtual composite material is computed by solving the equation. In the equation, the material constant in each of the surrounding areas of the outer shell layers coating the inner spherical particles is defined as the overall material constant of the virtual composite material to be computed. The volume fractions of the material components in the composite material are computed using the equation.

Abstract: In computing the overall material constant of a composite material, a virtual composite material is defined as the one that predetermined material components are dispersed in a form of spherical particles in a matrix phase at known volume fractions, and a nonlinear equation having the overall material constant of the virtual composite material as an unknown is prepared. Next, the overall material constant of the composite material is computed by solving the nonlinear equation. The nonlinear equation is a recursive nonlinear equation which is obtained by defining the material constant in the surrounding areas of the spherical particles as the overall material constant of the composite material to be computed. The volume fraction of a material component dispersed in the composite material is computed using the recursive nonlinear equation.

Abstract: In a method of computing the overall material constant of a composite material, a virtual composite material is defined as the one that a first material component is dispersed in a form of inner spherical particles in a matrix phase and each of the inner spherical particles is enveloped by the second material component, in a form of outer shell layers, as a coating layer. Based on this, a nonlinear equation is prepared, which has the material constant of the virtual composite material as an unknown. Next, the material constant of the virtual composite material is computed by solving the equation. In the equation, the material constant in each of the surrounding areas of the outer shell layers coating the inner spherical particles is defined as the overall material constant of the virtual composite material to be computed. The volume fractions of the material components in the composite material are computed using the equation.

Abstract: The overall material constant of a composite material is computed where the composite material includes multiple kinds of material components in a matrix phase, each of the material constants of the material components and the matrix phase being known. First, for the composite material, an equation, having the material constant of a virtual composite material as an unknown, is prepared by defining the virtual composite material in which each of the material components is dispersed in a form of spherical particles in the matrix phase at a known volume fractions. Next, the overall material constant of the virtual composite material is found as the overall material constant of the composite material by solving the equation. In this case, the equation is a recursive equation which is obtained using the self-consistent method. The volume fraction of a material component in the composite material is computed using the equation.

Abstract: In computing the overall material constant of a composite material, a virtual composite material is defined as the one that predetermined material components are dispersed in a form of spherical particles in a matrix phase at known volume fractions, and a nonlinear equation having the overall material constant of the virtual composite material as an unknown is prepared. Next, the overall material constant of the composite material is computed by solving the nonlinear equation. The nonlinear equation is a recursive nonlinear equation which is obtained by defining the material constant in the surrounding areas of the spherical particles as the overall material constant of the composite material to be computed. The volume fraction of a material component dispersed in the composite material is computed using the recursive nonlinear equation.