Rubber Void Fraction Evaluation via Transmittance
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Solution Overview
Problem
Existing methods for evaluating voids in rubber materials using small-angle X-ray scattering analysis are limited by the restricted wavenumber region due to detector size, preventing the observation of voids in certain areas.
Innovation Solution
A method involving the measurement of transmittance and thickness of rubber materials with and without strain, using equations to calculate the percentage of voids based on density and beam intensity, allowing for the evaluation of voids across the entire volume irradiated with X-rays.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If small-angle X-ray scattering analysis is used to measure voids in rubber materials, then void formation can be quantitatively evaluated, but the measurement is limited to a restricted wavenumber region due to detector size
Solution Approach 1:
The invention changes the measurement parameter from scattering intensity (SAXS) to transmittance. By measuring transmittance at a fixed X-ray wavelength instead of scattering intensity across a wavenumber range, the method overcomes the detector size limitation while still enabling quantitative void evaluation through the derived relationship between transmittance, density, and void volume fraction.
2Adaptability or versatility
If transmittance measurement method is used to evaluate voids, then the measurement range is extended to include all void sizes, but additional measurements (thickness with and without strain) are required
Solution Approach 1:
The invention replaces the mechanical/scattering-based SAXS measurement system with a transmittance-based measurement system. This substitution uses the fundamental relationship between X-ray attenuation and material density to evaluate voids, eliminating the need for complex scattering angle measurements while extending detection capability to all void sizes within the irradiated volume.
3Loss of information
If SAXS analysis is performed over a wide wavenumber region, then comprehensive void characterization is achieved, but the detector area limitation prevents complete coverage
Solution Approach 1:
The invention extracts the essential information needed for void evaluation (density changes) from the complex scattering intensity measurements. By focusing on transmittance, which directly relates to average density through the Beer-Lambert law, the method extracts the critical void-related information without requiring measurement across the entire wavenumber spectrum.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Enables the easy and quantitative evaluation of voids in rubber materials by transforming density ratios into transmittance and thickness equations, effectively assessing voids of all sizes within the irradiated volume.
Implementation Method 1
measuring a transmittance and thickness of a rubber material with no strain applied thereto and measuring a transmittance of the rubber material with the strain applied thereto
Implementation Method 2
I/I0: the transmittance of the rubber material with no strain applied thereto, Is/I0: the transmittance of the rubber material with the strain applied thereto
Data Source
AI summary
Provided is an evaluation method that can easily evaluate the percentage of voids in a rubber material. The present invention relates to an evaluation method including evaluating the percentage of voids in a rubber material with a strain applied thereto based on the ϕvoid calculated from the following Equation (1) using the transmittance and thickness of the rubber material with no strain applied thereto and the transmittance and thickness of the rubber material with the strain applied thereto. Øvoid=1−ps/p0=1−InIsI0/InII0×t0/ts