Lecture 3 - ENGR 4250 Advanced Materials Engineering...

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ENGR 4250 – Advanced Materials Engineering Lecture3 Introduction - 3 Dr. A. Keshavarz - ENGR 4250U
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• Tie line – connects the phases in equilibrium with each other - essentially an isotherm The Lever Rule How much of each phase? Think of it as a lever M L M α R S R M S M L = α L L L L L L C C C C S R R W C C C C S R S M M M W = + = = + = + = α α α α α 0 0 wt% Ni 20 1200 1300 T (°C) L (liquid) α (solid) 30 40 50 B T B tie line C o C L C α S R Adapted from Fig. 9.3(b), Callister 7e. Dr. A. Keshavarz - ENGR 4250U
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Solid Solutions Dr. A. Keshavarz - ENGR 4250U
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BINARY-EUTECTIC SYSTEMS Dr. A. Keshavarz - ENGR 4250U
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Microstructures in Eutectic Systems:1&2 Dr. A. Keshavarz - ENGR 4250U
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C o = C E Result: Eutectic microstructure (lamellar structure) --alternating layers (lamellae) of α and β crystals. Adapted from Fig. 9.13, Callister 7e. Microstructures in Eutectic Systems: III Adapted from Fig. 9.14, Callister 7e. 160 µ m Micrograph of Pb-Sn eutectic microstructure Pb-Sn system L + β α + β 200 T (°C) C , wt% Sn 20 60 80 100 0 300 100 L α β L + α 183°C 40 T E 18.3 α : 18.3 wt%Sn 97.8 β : 97.8 wt% Sn C E 61.9 L : C o wt% Sn Dr. A. Keshavarz - ENGR 4250U
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18.3 wt% Sn < C o < 61.9 wt% Sn Result: α crystals and a eutectic microstructure Microstructures in Eutectic Systems: IV 18.3 61.9 S R 97.8 S R primary α eutectic α eutectic β W L = (1- W α ) = 50 wt% C α = 18.3 wt% Sn C L = 61.9 wt% Sn S R + S W α = = 50 wt% • Just above T E : • Just below T E : C α = 18.3 wt% Sn C β = 97.8 wt% Sn S R + S W α = = 73 wt% W β = 27 wt% Adapted from Fig. 9.16, Callister 7e. Pb-Sn system L + β 200 T (°C) C o , wt% Sn 20 60 80 100 0 300 100 L α β L + α 40 α + β T E L : C o wt% Sn L α L α Dr. A. Keshavarz - ENGR 4250U
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Lead-Tin System alpha and eutectic phases Dr. A. Keshavarz - ENGR 4250U
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MICROSTRUCTURES IN EUTECTIC SYSTEMS Dr. A. Keshavarz - ENGR 4250U
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Dr. A. Keshavarz - ENGR 4250U
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Microstructures β β β β β β 175 µ m α α α α α α L + α L + β α + β 200 C o , wt% Sn 20 60 80 100 0 300 100 L α β T E 40 T (°C) A B C Dr. A. Keshavarz - ENGR 4250U
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L + α L + β α + β 200 C o , wt% Sn 20 60 80 100 0 300 100 L α β T E 40 (Pb-Sn System) Hypo eutectic & Hyper eutectic Adapted from Fig. 9.8, Callister 7e. (Fig. 9.8 adapted from Binary Phase Diagrams , 2nd ed., Vol. 3, T.B. Massalski (Editor-in- Chief), ASM International, Materials Park, OH, 1990.) 160 µ m eutectic micro-constituent Adapted from Fig. 9.14, Callister 7e. hypereutectic: (illustration only) β β β β β β Adapted from Fig. 9.17, Callister 7e. (Illustration only) (Figs. 9.14 and 9.17 from Metals Handbook , 9th ed., Vol. 9, Metallography and Microstructures , American Society for Metals, Materials Park, OH, 1985.) 175 µ m α α α α α α hypoeutectic: C o = 50 wt% Sn Adapted from Fig. 9.17, Callister 7e. T (°C) 61.9 eutectic eutectic: C o =61.9wt% Sn Dr. A. Keshavarz - ENGR 4250U
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Dr. A. Keshavarz - ENGR 4250U
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Dr. A. Keshavarz - ENGR 4250U
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Dr. A. Keshavarz - ENGR 4250U
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Iron-Carbon (Fe-C) Phase Diagram 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 δ (Fe) C o , wt% C 1148°C T (°C) α Dr. A. Keshavarz - ENGR 4250U
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Iron-Carbon (Fe-C) Phase Diagram Fe 3 C (cementite) 1600 1400 1200 1000 800 600 400 0 1 2 3 4 5 6 6.7 L γ (austenite) γ + L γ +Fe 3 C α +Fe 3 C L +Fe 3 C δ (Fe) C o , wt% C 1148°C T (°C) α Dr. A. Keshavarz - ENGR 4250U
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Iron-Carbon (Fe-C) Phase Diagram • 2 important points -Eutectoid ( B ): γ ⇒ α +Fe 3 C -Eutectic ( A ): L ⇒ γ 3 C Adapted from Fig. 9.24, Callister 7e .
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This note was uploaded on 06/02/2011 for the course ECONMICS ECN204 taught by Professor Brenan during the Spring '08 term at Ryerson.

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Lecture 3 - ENGR 4250 Advanced Materials Engineering...

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