Computation method of mechanical 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, the composite material including a first material component and a second material component in a matrix phase, mechanical material constants of the first material component, the second material component and the matrix phase being known, the method comprising:
- controlling a nonlinear equation setting component of a computer to prepare a nonlinear equation having the overall material constant of a virtual composite material as an unknown by defining, as a composite material, the virtual composite material in which the first material component is dispersed in a form of inner spherical particles in the matrix phase at a known volume fraction and the second material component is in a form of outer shell layers, each of which envelops each of the inner spherical particles as a coating layer of the predetermined thickness; 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 defining, as the overall material constant of the virtual composite material to be computed, a material constant in each of surrounding areas of the outer shell layers enveloping the inner spherical particles in the virtual composite material.
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Accused Products
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.
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Citations
18 Claims
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1. A method of computing an overall mechanical material constant of a composite material, the composite material including a first material component and a second material component in a matrix phase, mechanical material constants of the first material component, the second material component and the matrix phase being known, the method comprising:
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controlling a nonlinear equation setting component of a computer to prepare a nonlinear equation having the overall material constant of a virtual composite material as an unknown by defining, as a composite material, the virtual composite material in which the first material component is dispersed in a form of inner spherical particles in the matrix phase at a known volume fraction and the second material component is in a form of outer shell layers, each of which envelops each of the inner spherical particles as a coating layer of the predetermined thickness; 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 each of surrounding areas of the outer shell layers enveloping the inner spherical particles in the virtual composite material. - View Dependent Claims (2, 3, 4, 5, 6)
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7. A method of computing a volume fraction of a first material component or a second material component in a composite material, the composite material including the first and second material components in a matrix phase, mechanical material constants of the first and the second material components and the matrix phase being known, the method comprising:
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controlling a condition setting component of a computer to determine an overall material constant of the composite material based on an experimental result; controlling a nonlinear equation setting component of the computer to prepare a nonlinear equation having the volume fraction of the first material component or the second material component as an unknown by defining, as the composite material, a virtual composite material in which the first material component is dispersed in a form of inner spherical particles in the matrix phase and the second material component is in a form of outer shell layers, each of which envelops each of the inner spherical particles as a coating layer of the predetermined thickness; and controlling an equation solver component of the computer to compute the volume fraction of the first material component or the second material component 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 composite material, a material constant in each of surrounding areas of the outer shell layers enveloping the inner spherical particles in the virtual composite material. - View Dependent Claims (8, 9, 10, 11, 12)
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13. A non-transitory computer readable medium storing a computer-executable program for computing an overall mechanical material constant of a composite material, the composite material including a first material component and a second material component in a matrix phase, mechanical material constants of the first and second 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 the computer to prepare a nonlinear equation having the overall material constant of a virtual composite material as an unknown by defining, as a composite material, the virtual composite material in which the first material component is dispersed in a form of inner spherical particles in the matrix phase at a known volume fraction and the second material component is in a form of outer shell layers, each of which envelops each of the inner spherical particles as a coating layer of the predetermined thickness; and controlling a 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 each of surrounding areas of the outer shell layers enveloping the inner spherical particles in the virtual composite material. - View Dependent Claims (14, 15)
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16. A non-transitory computer readable medium storing a computer-executable program for computing a volume fraction of a first material component or a volume fraction of a second material component in a composite material, the composite material including the first and second composite material in a matrix phase, mechanical material constants of the first and second 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 based on an experimental result; controlling a nonlinear equation setting component of the computer to prepare a nonlinear equation having the volume fraction of the first material component or the volume fraction of the second material component as an unknown by defining, as the composite material, a virtual composite material in which the first material component is dispersed in a form of inner spherical particles in the matrix phase and the second material component is in a form of outer shell layers, each of which envelops each of the inner spherical particles as a coating layer of the predetermined thickness; and controlling an equation solver component of the computer to compute the volume fraction of the first material component or the second material component by solving the prepared nonlinear equation, and wherein the nonlinear equation is a recursive nonlinear equation obtained by defining, as the overall material constant of the composite material, a material constant in each of the surrounding areas of the outer shell layers enveloping the inner spherical particles in the virtual composite material. - View Dependent Claims (17, 18)
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Specification