A ceramic with KIc = 4 MPa m1/2 contains pores with radius a = 5 µm due to incomplete sintering. These pores lead to a decrease in the failure stress of the material in both tension and compression. One in every ten grainboundary junctions contains a void; the grain size of the ceramic is 50 µm. The ceramic fails in compression when the length ℓ of each crack generated at the voids equals one-half of the spacing between the voids. (a) Determine the compression strength of the ceramic, using the equation from Sammis and Ashby. (b) Determine the tensile strength of the ceramic, assuming flaws with size a.
A ceramic with KIc = 4 MPa m1/2 contains pores with radius a = 5 µm due to incomplete sintering. These pores lead to a decrease in the failure stress of the material in both tension and compression. One in every ten grainboundary junctions contains a void; the grain size of the ceramic is 50 µm. The ceramic fails in compression when the length ℓ of each crack generated at the voids equals one-half of the spacing between the voids. (a) Determine the compression strength of the ceramic, using the equation from Sammis and Ashby. (b) Determine the tensile strength of the ceramic, assuming flaws with size a.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A ceramic with KIc = 4 MPa m1/2 contains pores with radius a = 5 µm due
to incomplete sintering. These pores lead to a decrease in the failure stress
of the material in both tension and compression. One in every ten grainboundary junctions contains a void; the grain size of the ceramic is 50 µm.
The ceramic fails in compression when the length ℓ of each crack generated
at the voids equals one-half of the spacing between the voids.
(a) Determine the compression strength of the ceramic, using the equation
from Sammis and Ashby.
(b) Determine the tensile strength of the ceramic, assuming flaws with
size a.
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