Computational method of material constant of composite material and volume fraction of material component in composite material, and recording medium
First Claim
1. A method of computing an overall mechanical material constant of a composite material which includes multiple kinds of material components in a matrix phase, each of mechanical material constants of the material components and the matrix phase being known, comprising the steps of:
- controlling a nonlinear equation setting component of a computer to prepare a nonlinear equation having an overall material constant of a virtual composite material as an unknown by defining, as the composite material, the virtual composite material in which the material components are dispersed in a form of spherical particles in the matrix phase at known volume fractions; and
controlling an equation solver component of the computer to compute the overall material constant of the virtual composite material as the overall material constant of the composite material by solving the prepared nonlinear equation, andwherein the nonlinear equation is a recursive nonlinear equation which is obtained by determining, as the overall material constant of the virtual composite material to be computed, a material constant in surrounding areas of the spherical particles corresponding to the multiple kinds of material components in the virtual composite material.
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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.
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Citations
12 Claims
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1. A method of computing an overall mechanical material constant of a composite material which includes multiple kinds of material components in a matrix phase, each of mechanical material constants of the material components and the matrix phase being known, comprising the steps of:
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controlling a nonlinear equation setting component of a computer to prepare a nonlinear equation having an overall material constant of a virtual composite material as an unknown by defining, as the composite material, the virtual composite material in which the material components are dispersed in a form of spherical particles in the matrix phase at known volume fractions; and controlling an equation solver component of the computer to compute the overall material constant of the virtual composite material as the overall material constant of the composite material by solving the prepared nonlinear equation, and wherein the nonlinear equation is a recursive nonlinear equation which is obtained by determining, as the overall material constant of the virtual composite material to be computed, a material constant in surrounding areas of the spherical particles corresponding to the multiple kinds of material components in the virtual composite material. - View Dependent Claims (2, 3, 4, 5)
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6. A method of computing a volume fraction of any one of multiple kinds of material components in a composite material which includes the multiple kinds of material components in a matrix phase, each of mechanical material constants of the material components and the matrix phase being known, comprising the steps of:
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controlling a condition setting component of a computer to determine the overall material constant of the composite material from an experimental result; controlling a nonlinear equation setting component of the computer to prepare a nonlinear equation having a volume fraction of any one of multiple kinds of material components in a virtual composite material as an unknown by defining, as the composite material, the virtual composite material in which each of the multiple kinds of material components is dispersed in a form of spherical particles in the matrix phase; and controlling an equation solver component of the computer to compute the volume fraction of any one of the multiple kinds of material components by solving the prepared nonlinear equation, and wherein the nonlinear equation is a recursive nonlinear equation which is obtained by defining, as the determined material constant of the composite material, a material constant in surrounding areas of the spherical particles in the virtual composite material. - View Dependent Claims (7, 8, 9, 10)
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11. A non-transitory computer readable medium storing a computer-executable program for computing an overall material constant of a composite material which includes multiple kinds of material components in a matrix phase, each of mechanical material constants of the material components and the matrix phase being known,
wherein the program causes a computer to execute a method comprising: -
controlling a nonlinear equation setting component of a computer to prepare a nonlinear equation having an overall material constant of a virtual composite material as an unknown by defining, as the composite material, the virtual composite material in which multiple kinds of material components are dispersed in a form of spherical particles in the matrix phase at known volume fractions; and controlling an equation solver component of the computer to compute the overall material constant of the virtual composite material as the overall material constant of the composite material by solving the prepared nonlinear equation, and wherein the nonlinear equation is a recursive nonlinear equation which is obtained by defining, as the overall material constant of the virtual composite material to be computed, a material constant in surrounding areas of the spherical particles corresponding to the multiple kinds of material components in the virtual composite material.
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12. A non-transitory computer readable medium storing a computer-executable program for computing a volume fraction of any one of multiple kinds of material components in a composite material which includes multiple kinds of material components in a matrix phase, each of mechanical material constants of the multiple kinds of material components and the matrix phase being known,
wherein the program causes a computer to execute a method comprising: -
controlling a condition setting component of a computer to determine an overall material constant of the composite material from an experimental result; controlling a nonlinear equation setting component of the computer to prepare a nonlinear equation having a volume fraction of any one of the multiple kinds of material components in a virtual composite material as an unknown by defining, as the composite material, the virtual composite material in which each of the multiple kinds of material components is dispersed in a form of spherical particles in the matrix phase; and controlling an equation solver component of the computer to compute the volume fraction of any one of the multiple kinds of material components by solving the prepared nonlinear equation, and wherein the nonlinear equation is a recursive nonlinear equation which is obtained by defining, as the determined material constant of the composite material, a material constant in surrounding areas of the spherical particles of each of the multiple kinds of material components in the virtual composite material.
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Specification