Theoretical strength for brittle glassy materials

2013-08-09 | Science & technology

By changing the limit of integration within the zone where fracture occurs in brittle glassy materials, based on a sinusoidal approximation as used in the Griffith formulation of theoretical strength of such solids, a modification of the equation for theoretical strength can be achieved. This modified equation for theoretical strength has been developed using the linear Hook’s law near to the maximum of applied stress by taking a small variation in the spatial elongation. This equation gives rise to a multiplication factor, which has to be used to predict the theoretical strength when micro-flaws are present in the glassy materials. This theoretical result is discussed in terms of the available data on fused silica and other materials that are used in the glass industry.

By changing the limit of integration within the zone where fracture occurs in brittle glassy materials a modification of the equation for theoretical strength can be achieved
Introduction
In a previous article on float glass technology in Kanch[1], apart from various chemical aspects, the problem of thickness variations was discussed. However, the mechanical properties in terms of fracture of such glasses are also of great importance, since these glasses are mostly used in the building industry and façade decoration purposes, wherein fracture in any form can cause damage to the installation, which will result in a loss to the investment made. Although the present article deals with the problem of fracture in brittle materials such as glasses, importance has to be given to float glasses, as these glasses have aesthetic appeal with the highest quality requirements as far as the glass industry is concerned.
A tremendous amount of work has been carried out in the field of fracture mechanics in brittle materials and glasses, particularly on their theoretical strength over long periods of time[2-8]. This is mainly carried out using the Griffith equation based on the formation of an elliptical crack, and its main plank is the utilization of material parameters or constants, which are measurable, in designing suitable materials for various important applications[2]. An insight should be obtained on the nature of theoretical strength based on a sinusoidal approximation in the stress versus spatial elongation curve (see Figure 1 in the next section for clarity). In the context of this approximation, in the present article, our main focus is on the ...

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Article taken from Glass-Technology International bi-monthly magazine (6 issues per year)
Year: 2013 number: 1
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