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Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace dustries. Before running machining tests and analyzing machined quality, preliminary efforts are needed evaluate selected materials and factors affecting machining process. Three material candidates have een selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their easured tensile properties and equation of true stress-true strain relationship used listed below. Tref 25°C. pecifically, three factors will need to be evaluated, including different materials, temperature, and size fect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below.

Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace dustries. Before running machining tests and analyzing machined quality, preliminary efforts are needed evaluate selected materials and factors affecting machining process. Three material candidates have een selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their easured tensile properties and equation of true stress-true strain relationship used listed below. Tref 25°C. pecifically, three factors will need to be evaluated, including different materials, temperature, and size fect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below.

Elements Of Electromagnetics
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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3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed to evaluate selected materials and factors affecting machining process¹. Three material candidates have been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their measured tensile properties and equation of true stress-true strain relationship used listed below. Tref 25°C. Specifically, three factors will need to be evaluated, including different materials, temperature, and size effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below. Material B (MPa) & (S-1) Tm (°C) 400 0.01 422SS (Peyre et al., 2007) IN718 (Kobayashi et al., 2008) Ti64 (Umbrello, 2008) 1370 1 1E-5 Material 422SS (CINDAS, 2011) IN718 (Davis, 1997) Ti64 (Fukuhara and Sanpei, 1993) A (MPa) 870 980 782.7 G (GPa) 498.4 -0.04397(°C)+85.709 -0.0225 T(°C)+86.003 -0.0241 T(°C)+41.097 n o = (A + B) 1 + c log 0.4 0.164 0.28 с 0.015 0.02 0.028 b (nm) 0.248 0.249 0.295 T-Tref ) (1 + c 108 — 2) (1 - (TTT)) Tm-Tref m 0.5 1.03 1 a 0.5 0.5 0.5 1/2 ²)")" X (1 + ((A + B²X1 + c log(2)/(189²2bc² (T- Tud)/(Ta - Trg))))) 1520 1300 1660 μ 0.38 0.38 0.38 (a) At a fixed temperature (T=400 °C) and a strain rate (=105 s-¹, typical for micromachining), please plot and compare the true stress-true strain curves for different materials. A 1 um wide channel will be cut, so the length parameter, L=10 nm, may be assumed. (b) At a strain rate (=105 s¹) with a fixed length parameter (L=10 nm), please plot and compare the true stress-true strain curves of Ti64 at different temperatures (T-25 °C, 400 °C, 1000 °C). (c) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹), please plot and compare the true stress- true strain curves of Ti64 if microfluidic channels with different width need to be made, specifically L=10 nm, 100 nm, 1000 nm.
Transcribed Image Text:3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed to evaluate selected materials and factors affecting machining process¹. Three material candidates have been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their measured tensile properties and equation of true stress-true strain relationship used listed below. Tref 25°C. Specifically, three factors will need to be evaluated, including different materials, temperature, and size effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below. Material B (MPa) & (S-1) Tm (°C) 400 0.01 422SS (Peyre et al., 2007) IN718 (Kobayashi et al., 2008) Ti64 (Umbrello, 2008) 1370 1 1E-5 Material 422SS (CINDAS, 2011) IN718 (Davis, 1997) Ti64 (Fukuhara and Sanpei, 1993) A (MPa) 870 980 782.7 G (GPa) 498.4 -0.04397(°C)+85.709 -0.0225 T(°C)+86.003 -0.0241 T(°C)+41.097 n o = (A + B) 1 + c log 0.4 0.164 0.28 с 0.015 0.02 0.028 b (nm) 0.248 0.249 0.295 T-Tref ) (1 + c 108 — 2) (1 - (TTT)) Tm-Tref m 0.5 1.03 1 a 0.5 0.5 0.5 1/2 ²)")" X (1 + ((A + B²X1 + c log(2)/(189²2bc² (T- Tud)/(Ta - Trg))))) 1520 1300 1660 μ 0.38 0.38 0.38 (a) At a fixed temperature (T=400 °C) and a strain rate (=105 s-¹, typical for micromachining), please plot and compare the true stress-true strain curves for different materials. A 1 um wide channel will be cut, so the length parameter, L=10 nm, may be assumed. (b) At a strain rate (=105 s¹) with a fixed length parameter (L=10 nm), please plot and compare the true stress-true strain curves of Ti64 at different temperatures (T-25 °C, 400 °C, 1000 °C). (c) At a fixed temperature (T=400 °C) and a strain rate (¿=105 s¯¹), please plot and compare the true stress- true strain curves of Ti64 if microfluidic channels with different width need to be made, specifically L=10 nm, 100 nm, 1000 nm.
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