Figures below present indentation diagram (P vs. h) obtained on fused silica and aluminum and reproduced from the classic paper by W. C. Oliver and G. M. Pharr, J. Mater. Res. 1992, which you studied for the lab No.6. Assume perfect Berkovich tip, the geometric indenter constant € equal to 0.75, and indenter properties E₁ = 1141 GPa and v₁ = 0.07. Based on this experimental data determine the hardness, H, and elastic modulus, E, of fused silica. Poisson's ratio of fussed silica equals 0.17, and for aluminum 0.347. Express your final values in GPa. Please, show your work in step-by-step fashion. LOAD (MN) 140 FUSED SILICA 120 100 88 80 60 60 40 20 20 0 200 400 600 800 1000 1200 DISPLACEMENT (nm) Equations to use: P max Hardness = Ac Ac = 24.5(hc)² hmax = hc + hs Pmax hs = εx S S = NS 2 1 EeSt × Eest × √Ā 1 – v² E + 1 – v²; E₁
Figures below present indentation diagram (P vs. h) obtained on fused silica and aluminum and reproduced from the classic paper by W. C. Oliver and G. M. Pharr, J. Mater. Res. 1992, which you studied for the lab No.6. Assume perfect Berkovich tip, the geometric indenter constant € equal to 0.75, and indenter properties E₁ = 1141 GPa and v₁ = 0.07. Based on this experimental data determine the hardness, H, and elastic modulus, E, of fused silica. Poisson's ratio of fussed silica equals 0.17, and for aluminum 0.347. Express your final values in GPa. Please, show your work in step-by-step fashion. LOAD (MN) 140 FUSED SILICA 120 100 88 80 60 60 40 20 20 0 200 400 600 800 1000 1200 DISPLACEMENT (nm) Equations to use: P max Hardness = Ac Ac = 24.5(hc)² hmax = hc + hs Pmax hs = εx S S = NS 2 1 EeSt × Eest × √Ā 1 – v² E + 1 – v²; E₁
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Figures below present indentation diagram (P vs. h) obtained on fused silica and aluminum and
reproduced from the classic paper by W. C. Oliver and G. M. Pharr, J. Mater. Res. 1992, which
you studied for the lab No.6. Assume perfect Berkovich tip, the geometric indenter constant €
equal to 0.75, and indenter properties E₁ = 1141 GPa and v₁ = 0.07. Based on this experimental
data determine the hardness, H, and elastic modulus, E, of fused silica. Poisson's ratio of fussed
silica equals 0.17, and for aluminum 0.347. Express your final values in GPa. Please, show your
work in step-by-step fashion.
LOAD (MN)
140
FUSED SILICA
120
100
88
80
60
60
40
20
20
0
200
400
600
800
1000
1200
DISPLACEMENT (nm)
Transcribed Image Text:Equations to use:
P max
Hardness =
Ac
Ac = 24.5(hc)²
hmax = hc + hs
Pmax
hs = εx
S
S =
NS
2
1
EeSt
× Eest × √Ā
1 – v²
E
+
1 – v²;
E₁
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