Supporting Glass Composition for Low-Deflection Lightweight Substrates
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Solution Overview
Problem
Conventional supporting glass substrates face challenges in simultaneously suppressing deflection and reducing weight, as increasing thickness to reduce deflection leads to increased mass, while reducing thickness to reduce weight exacerbates deflection.
Innovation Solution
A supporting glass substrate with a Young's modulus to density ratio (E/d) of 32.0 (GPa·cm3/g) or more, calculated both through measurement and composition-based estimation, achieving higher rigidity with reduced thickness and weight by optimizing the composition and density.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Strength
If the thickness of the supporting glass substrate is increased to suppress deflection, then the deflection is reduced, but the mass increases
Solution Approach 1:
The patent changes the chemical composition parameters of the glass substrate, specifically controlling the content ranges of Al2O3 (15-30 mol%), SiO2 (40-60 mol%), and B2O3 (5-20 mol%) to achieve a specific Young's modulus to density ratio. This compositional parameter optimization allows the substrate to achieve high rigidity for deflection suppression while maintaining low density for reduced mass, resolving the contradiction between strength and weight.
2Weight of moving object
If the thickness of the supporting glass substrate is decreased to reduce weight, then the mass is reduced, but deflection occurs
Solution Approach 1:
The patent creates an optimized composite glass material system by combining multiple oxides (Al2O3, SiO2, B2O3, and other optional components like MgO, CaO, Na2O, K2O) in specific proportions. This composite composition achieves a Young's modulus to density ratio of 25.0 (GPa·cm³/g) or more, enabling thin substrates to maintain high rigidity and suppress deflection while keeping mass low.
Data Source
AI summary
Suppressing deflection and reducing weight are to be achieved. A supporting glass substrate has a ratio of a Young's modulus (GPa) to a density (g/cm3) that is 37.0 (GPa·cm3/g) or more and the ratio has a value larger than a ratio calculation value, the ratio calculation value being a ratio of a Young's modulus (GPa) calculated from a composition to a density (g/cm3). The ratio calculation value is represented by the following expression: α=2·Σ{(Vi·Gi)/Mi·Xi}, where, in the expression, Vi is a filling parameter of a metal oxide contained in the supporting glass substrate, Gi is a dissociation energy of a metal oxide contained in the supporting glass substrate, Mi is a molecular weight of a metal oxide contained in the supporting glass substrate, and Xi is a molar ratio of a metal oxide contained in the supporting glass substrate.