8.7 A ceramic with Ke = 4 MPa m2 contains pores with radius a = 5 um 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 grain- boundary junctions contains a void; the grain size of the ceramic is 50 µm. The ceramic fails in compression when the length é 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.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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8.7 A ceramic with K = 4 MPa m2 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 grain-
boundary junctions contains a void; the grain size of the ceramic is 50 um.
The ceramic fails in compression when the length e 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.
Transcribed Image Text:8.7 A ceramic with K = 4 MPa m2 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 grain- boundary junctions contains a void; the grain size of the ceramic is 50 um. The ceramic fails in compression when the length e 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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