The fracture strength of glass may be increased by etching away a thin surface layer. It is believed that the etching may alter the surface crack geometry (i.e. reduce crack length and increase tip radius). Calculate the ratio of the etched and original crack tip radii if the fracture strength is increased by a factor of 8 when 48% of the crack length is removed.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The fracture strength of glass may be increased by etching away a thin surface layer. It is
believed that the etching may alter the surface crack geometry (i.e. reduce crack length and
increase tip radius). Calculate the ratio of the etched and original crack tip radii if the fracture
strength is increased by a factor of 8 when 48% of the crack length is removed. 

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