Course overview and web page mechanics http://www.stevens.edu/e344/e344_home.html Assessment Performance Criteria Section 1 – Intro and Broad Goals After an introductory course in Materials Science & Engineering, students will be able to: 1.1 Identify the major classes of engineering materials and give practical examples of each 1.2 identify the materials properties characteristic of some engineering application and use these to guide the selection from one of the major materials classes, or from within a particular class, to best satisfy the needs of that application 1.3 show for a typical engineering material how processing, structure, and properties are inter-related and how they define performance in an engineering application. 1. 2. 3. 4. How big is an atom what does an atom look like how do atoms interact with each other (bonding; many-atom assemblies) how do large numbers of atoms arrange themselves in space to form a solid? Orders of magnitude atto, femto, pico, (Angstrom), nano, micro, milli, (centi) m, g, sec… kilo, mega, giga, tera Section 2: Atomic Structure and Bonding Real Space 1: Planetary model of Na. (how big is a sodium atom? Note 052212A) - plum-pudding model (1902) - Rutherford Au scattering experiment (1911 – introduced concept of nucleus surrounded by electron clouds) Real Space 2: Wave model of electrons in atoms (Real-space picture) - Bohr model: electrons orbitals are standing waves 1 electron waves can move between discrete orbitals w/well-defined energy changes Energy Space: Energy-level diagram for hydrogen -filled level - empty levels - forbidden levels Schrodinger equation and quantum mechanics - can predict the electron orbitals/wave functions - introduces 4 quantum numbers - Pauli exclusion principal spdf notation to describe atomic electron configuration Energy-level diagram for sodium Transitions between energy levels light emission/adsorption X-Ray "" "" "" Interactions between two sodium atoms U(r) curves Lennard-Jones potential Information contained within U(r) curves - equilibrium interatomic spacing - melting temperature (deep potential energy well) - thermal expansion (asymmetry) l = T*l (see section 19.3 in Callister 8th) Ex. Airplane: l = (50 m) * (2E-05 m/m-K) (100 K) = 10 cm Real space planetary model of two bonded atoms: Molecular orbitals Energy space picture: Conflict with Pauli exclusion principal leads to splitting of valence electron energy levels Hypothetical energy-level diagram for 2 Na atoms - for 3 sodium atoms - for 4 sodium atoms - for N sodium atoms Energy band diagram for Na: 2 - why is sodium (metal) a good electrical conductor? - why is sodium (shiny) opaque to visible light? 14. Mg: overlapping conduction band and valence band 15. Energy band diagram for an insulator/semiconductor - why is silica (E ~ 9 eV) a good electrical insulator? - why is silica transparent to visible light? Section 3: Metals, Alloys, and Elements of Structure What is the difference between a metal and an alloy? What are some examples of metals? What are some of the important properties of metals? What are some examples of where metals/alloys are used? - what properties are important to these applications What are the major ways in which we process (make objects out of) metals? - deformation processing (exploits ductility) - solidification processing (exploits accessible melting temperatures) Crystallinity Examples of crystalline minerals Long-range order 2-D crystals; - simple square, parallelograms, - body-centered square (concept of a basis) - # atoms per cell Amorphous materials - short-range order Close-packed planes; close-packed directions Stacking of close-packed planes - ABABAB = HCP 3 - ABCABCABC = FCC - stacking fault = one of many possible defects in a crystalline material 3-D unit cells - FCC; SC; BCC - APF The 14 crystal classes - a, b, c; Miller index notation - points - directions - planes Diffraction - Braggs Law - calculation of atomic radius of Na (BCC Isotropy; anisotropy Defects in crystals - point defects - line defects - planar defects Section 4: Ceramics (and Semiconductors) Definition of a ceramic: A ceramic material is an inorganic, nonmetallic, material where two or more elements, typically a combination of a metal and a non-metal, are bonded together by strong and directional ionic, covalent, or, more generally, mixed ionic-covalent bonding. Ionicity of a bond (Callister 8th eq. 2.10) % ionic character = (1-exp(-[0.25]{Xa - Xb}2)) X 100 Ex) % ionicity of MgO = (1-exp(-[0.25]{1.2 – 3.5}2)) X 100 = 73.4 See Table 12.1 Callister Examples of ceramics Typical uses Macroscopic properties of ceramic materials 4 Structure of ceramic materials - crystalline unit cells - cation-anion ratio - charge neutrality Three primary ways to process ceramic materials - glass formation and the manipulation of viscous liquids - powder processing - processing by chemical reaction Section 5: Polymers Main (inter-related) categories: Thermoplastics: melt when (re)heated => melt processing of (viscous) liquids; recyclable Thermosets: shaped and then cured; do not melt when reheated (reusable/recyclable) Rubbers: High elastic deformation Gels: Designed to interact with solvents (hydrogels interact with water) -------Polymer = many units Monomer unit of PE Molecular weight Free radical polymerization of PE Conformation of a PE molecular Sp3 bonding Sp2 bonding Show/pass ball and stick model of PE Rope demo of conformation Rg: How big is a polymer molecule? Other types of monomer units -PVC 5 -PP -PS -PTFE -PMMA -PMAA -PAA Homopolymers; blends; and copolymers - block, alternating, random - macrophase vs microphase separation Tacticity Branching viscosity Tg crystalline vs amorphous Condensation polymerization - nylon - proteins and natural polymers Rubber - lightly crosslinked thermoplastic (vulcanization) - natural; synthetic - example = butadiene - possible to have rubber without covalent crosslinks Gels - lightly crosslinked and designed to interact with solvent - hydrogels are designed to interact with water Thermosets - heavily crosslinked polymer - typically crosslinked during synthesis of (short) molecules rather than linking of macromolecules (like rubber) - example = epoxy Recycling vs. reusing If time permits: Composite materials (ch. 16 in Callister) 6 Composite material = any multiphase material (natural or, more commonly, synthetic) exhibiting a significant portion of the properties of the constituent phases in order to realize a composite material with better properties than either constituent alone. Metal-matrix Ceramic-matrix Polymer-matrix… Filler = glass, carbon, high-performance polymer fiber (alternately particulate). Matrix = epoxy or other polymer Nanocomposites Section 8: Mechanical Properties definition of engineering tensile stress, tensile strain, poisson ratio True stress/strain Shear stress/strain Tensile test ASTM = American Society for the Testing of Materials Information from a tensile test (y, E, T, %elongation, toughness, resilience) Reconstructing stress-strain diagram from 4 parameters Hardness Estimate of E from 1st principles (Cu) Estimate of yield strength of Cu from 1st principles. Dislocations - types; draw an edge dislocation - mathematical representation of a dislocation - burger's vector, line direction Slip systems 7 Strengthening mechanisms - strain hardening - grain-boundary strengthening and Hall-Petch - solid soln strengthening - ppt hardening Failure 1. Ductile 2. Brittle stress concentrators: a 1/ 2 m 2o t where m = max stress in front of crack tip o = magnitude of applied tensile stress a = crack half width t = radius of curvature of elliptical crack Non destructive evaluation (NDE) KIC = Y crit(*a)1/2 3. Fatigue cyclic loading; stress amplitude S/N curve (see figure 8.19); fatigue limit; fatigue strength Vignette – femoral nail 4. Creep Qc eq. 8.20 in Callister 8th RT Ýs K 2 n exp 8 E Ýs K 2 n exp c or: kB T Section 9: Fundamentals of Phase Transformations Case Study 1: Recovery, Recrystallization, and Grain Growth Cold rolling - decrease plate thickness - changes shape of grains from ~equiaxed to ~ pancaked. - increases dislocation density - decrease ductility Changes upon annealing - define annealing - define what high temperature means (already done in discussion of creep) - high temperature enables atomic motion (i.e. diffusion) Recovery = rearrangement of dislocations to minimize energy Recrystallization of new, equiaxed, low dislocation density grains energetic driving force = lowering of strain energy Grain growth – grain size increases - energetic driving force = lowering of total grain-boundary energy difference between cold work and hot work Fundamentals of Nucleation Volume Free Energy Surface Energy Homogeneous nucleation Heterogeneous nucleation Fundamentals of Diffusion Concentration profiles 9 Fick's first law - flux is proportional to the concentration gradient - proportionality constant = D - units on D Values of Diffusivity Fick's 2nd law erf soln vacancy mechanism of diffusion Temperature dependence of diffusion bulk, interstitial, surface, grain-boundary diffusion Section 10: Phase Diagrams definition of a phase a homogeneous and mechanically separable portion of matter with a well-defined chemical composition ex: granite and other rocks Phase diagram as a map of the phases stable tells what phase or phases are stable at given T, P, composition, etc. water P-T diagram - ice skates - density of solid < density of liquid (ice floats; unlike most metallic systems] Solid Solutions and the Hume-Rothery Rules [Page 95 in Callister 8th] Cu – Ni diagram: Example of an isomorphous alloy system Pb-Sn eutectic diagram - stuff that can be identified immediately from diagram - example of cooling from (PB) phase field into 2-phase field - example of eutectic solidification - example of hypo/hyper eutectic solidification 10 Phase diagrams indicating very limited solubility - water-salt (p. 301 in Callister 8th) - Sn-Bi phase diagrams with compounds ex: Ge-Te phase-change optical storage The Fe-Fe3C and Fe-C phase diagrams - polymorphism - austenite - ferrite - cementite Limits of solubility - why is carbon so much more soluble in FCC than in BCC? Eutectoid rxn vs Eutectic rxn Example of a 1080 steel - Pearlite (see figs 9.27 and 10.15 in Callister 8th for micrographs) - fine pearlite (forms by faster cooling through eutectoid temp) - coarse pearlite (forms by slower cooling through eutectoid temp) - spherodite (forms by very slow cooling thru eutectoid temp or by annealing just below eutectoid temp). A sqrt(Dt) analysis indicates that C can diffuse in Fcc at 1000 K for ~500 microns. Example of a 1040 steel (note fig 9.30 in Callister 8th shows micrograph) hypo eutectoid alloy proeutectoid ferrite forms eutectoid composition transforms to pearlite w/ remaining proeutectoid ferrite Fe-Fe3C phase diagram - Hardness as a function of wt%C - pearlitic microstructure - spherodized microstructure - martensitic microstructure Callister 8th page 362: Martensite = non-equilibrium, single phase structure that results from a diffusionless transformation of austenite. Quenching from the gamma phase field limits carbon diffusion 11 FCC wants to transform to BCC but can't because of carbon Instead, FCC transforms to BCT (distorted BCC) via "Bain transformation" Carbon stuck in former octahedral site (super saturated) TTT and CCT diagrams Hardenability = how easily an alloy forms martensite (see Glossery in Callister) Jominy test (QUIZ???) Tempering How to select a set of kitchen knives; Samurai sword PPT hardening and the Al-Cu phase diagram see figs. 11.24 (Al-Cu phase diagram); 11.22 (schematic heat treatment) and 11.27 (hardness curves) Temper designations 12