Mechanical Properties HE determine whether an application is possible Lards and Ne electric, magnetic, chemical slow it on scale Intervals of hardness between the standard rals are roughly equal except for that between corundum and diamo does not fulfill hardness bnic crystals have moderate to medium compressive tensile strength ardness( eg NaCl hardness 2) brittleness deformability elasticity ulp Materials with Hardness less than 7 is Lusterless in everyday use because they tinually su ffer from scrat Hardness-This is found by scratching one mineral Mohs Mineral hardness against another. The harder mineral leaves a scratch on the )Tale )Calcite Flourite 0) Diamond Mohs Hardness Scale is Hardest Friedrich Mohs(1773-1839) ou typically do not carry around a supply of the 10 Talc(soapstone) Mg3(OH)2ISi,Ojo Finger Nail (H=2.5) The silicate sheets are lectrically neutral in ta Penny (h= 3) se of tale (also graphite Knife Blade (H=5.5) polishing materials and filling material for paper silicate sheet
1 ¾¾ determine whether an application is possible No matter how good the electric, magnetic, chemical or other properties are, a material is of no use if it does not fulfill mechanical requirements hardness compressive & tensile strength deformability resistance Mechanical Properties cleavability elasticity brittleness ductibility Hardness Hardness is dependent upon the strength of the forces holding atoms together in a solid. F. Mohs in 1822 selected 10 minerals as standards and arranged them in order of hardness so that one mineral could scratch only those below it on scale. Intervals of hardness between the standard minerals are roughly equal except for that between corundum and diamond. Hardness Mineral 10 Diamond 9 Corundum 8 Topaz 7 Quartz 6 Feldspar 5 Apatite 4 Fluorite 3 Calcite 2 Gypsum 1 Talc Ionic crystals have moderate to medium hardness ( eg. NaCl hardness 2) Materials with Hardness less than 7 is lusterless in everyday use because they continually suffer from scratching from quartz particles in dust ( Which accounts for the advantage of glass over plexiglass) Hardness ¾¾ This is found by scratching one mineral against another. The harder mineral leaves a scratch on the softer one. The Mohs hardness scale is a list of 10 minerals in order of hardness. 1.Talc 4. fluorite 3. calcite 2.gypsum 5. apatite 6. feldspar 7. quartz 8. topaz 9. corundum10. diamond Mohs¢ hardness scale is used when you are trying to identify the relative hardness of a mineral. The hardness of a mineral is useful when trying to identify an unknown mineral sample. Mohs Mineral Hardness Scale 1) Talc 2) Gypsum 3) Calcite 4) Flourite 5) Apatite 6) Feldspar 7) Quartz 8) Topaz 9) Corundum 10) Diamond Softest Hardest 1 2 3 4 5 6 7 8 9 10 Mohs¢ Hardness Scale is named after its creator, German mineralogist Friedrich Mohs (1773-1839). Finger Nail (H = 2.5) Penny (H = 3) Knife Blade (H = 5.5) You typically do not carry around a supply of the 10 minerals on the hardness scale: Talc (soapstone) Mg3 (OH)2 [Si4O10] Mg(OH)2 layer silicate sheet The silicate sheets are electrically neutral in talc, forces between them are weak, the crystal are soft and easy to cleave. The use of talc (also graphite and MoS2 ) as powder, lubricating agent, polishing materials and filling material for paper is due to these properties
Mica Stress vs Strain e Stress is force applied a loaddoriginal cross sectional hydrated cations. They cannot slip as Tale but cleaved S1a BPA (NrI a Electrical insulating a Cation evosslstance 划 Thermal resi nsile stress stress compressive stress o Strain is a dimensional change due to an applied stres Types of Loading = Strain E(mm/mm) Stress vs. Strain: Units Stress and strain (tension and compression) Stress To compare specimens of different sizes, the load is calculated per unit area. Qu=F/Ao where A, is the original cross sectional area) psi pounds force per square inch) F: is load eMPa (ega Pascals=106 Nm2) Perpendicular to F before application of the load. Strain e=LL(where L, is the original length) Al: change in length unitless-sometimes expressed as a percentage Stress /strain: for tensile loads for compressive loads
2 Mica Micas are cation-poor sheet silicate consisting of electrically charged sheets that are being held by intercalated, unhydrated cations. They cannot slip as Talc but can be cleaved. Electrical insulating Chemical resistance Thermal resistance Cation exchangers Stress vs. Strain Stress is force applied over area: load/original cross sectional area tensile stress compressive stress shear stress torsion stress Strain is a dimensional change due to an applied stress stress To describe how materials deform as a function of applied load. we need to discuss testing methods and language for mechanical properties of materials. Stress, s (MPa) Strain, e (mm / mm) Stress, s(MPa) Strain, e (mm / mm) Types of Loading Tensile Compressive Shear Torsion Stress vs. Strain: Units Stress s=F/A0 (where A0 is the original cross-sectional area) psi(pounds force per square inch) MPa (Mega Pascals = 106 N/m2 ) Strain = L/L0 (where L0 is the original length) unitless ¾ sometimes expressed as a percentage Stress and Strain (tension and compression) To compare specimens of different sizes, the load is calculated per unit area. Stress: s = F / A0 F: is load A0 : cross-sectional area Perpendicular to F before application of the load. Strain: e = Dl / l0 (´ 100 %) Dl: change in length l0 : original length. Stress / strain: + for tensile loads － for compressive loads
Shear and Torsion Typical Mechanical Properties of Metals Shear stres:t= F/A F is applied parallel to upper and lower faces each having ar Shear strain: y=tane (x 100%6 Load- applied torque T Strainrelated to the angle of twist, o Elastic moduli are relatively insensitive to these effects Yield and tensile strengths and ature. d modulus of elasticity decrease with increasing temp Ductility increases with temperature. Brittleness Zirconia, ZrOz materials: nd nitrides or carbides 2370C cubic CaF,(enofZ.r=计+0 ubstance m.p.(C) M-o() baddeleyite, stable form (e n. ofzr=7) 6.10gcm3 1923 Zro, is not appropriate as a high T ceramie: it crack d B 2350 heating when the tran rupture has begun. The result ttleness is one of the most severe drawbacks of ceramic materials The brittleness may be modified by doping with impurities. a Use volume effect to reduce the brittleness Tough ness Elastic Recovery During Plastic Deformation MMaterial deformed plastically with a er than the original yield Toughness ability to absorb energy up to fracture that it will take before Units: the energy per unit volume, e.g. J/'m called elastic strain recovery
3 Shear and Torsion Shear stress: t = F / Ao F is applied parallel to upper and lower faces each having area A0 . Shear strain: g = tanq (´ 100 %) q is strain angle Torsion: is like shear. Load: applied torque T Strain:related to the angle of twist, f. Shear Torsion Typical Mechanical Properties of Metals The yield strength and tensile strength vary with thermal and mechanical treatment, impurity levels, etc. Variability is related to the behavior of dislocations. Elastic moduli are relatively insensitive to these effects. Yield and tensile strengths and modulus of elasticity decrease with increasing temperature. Ductility increases with temperature. Metal Alloy Yield Strength MPa Tensile Strength MPa Ductility (%EL) [in 50mm] Aluminum 35 90 40 Copper 69 200 45 Brass(70Cu-30Zn) 75 300 68 Iron 130 262 45 Nickel 138 480 40 Steel (1020) 180 380 25 Titanium 450 520 25 Molybdenum 565 655 35 Brittleness The brittleness may be modified by doping with impurities. Ceramic materials: oxides, silicates, and nitrides or carbides. They have strong chemical bonds and show high m.p. Substance m.p. (oC) M-O (Å) MgO 2800 2.12 CaO 2580 2.40 SrO 2430 2.56 BaO 1923 2.76 SiO2 1700 SiC 2700 B4C 2350 BN 3000 Because of the short range of action of the chemical bonds, the material suffers a substantial loss of strength once a rupture has begun. The resulting brittleness is one of the most severe drawbacks of ceramic materials. Zirconia, ZrO2 > 2370oC cubic CaF2 (c.n. of Zr = 8) 1170 –2370oC tetragonal (c.n. of Zr = 4+4) < 1170oC baddeleyite, stable form (c.n. of Zr = 7) monoclinic tetragonal 5.56 6.10 gcm-3 On heating, 9% contraction in volume accompanies the transition Pure ZrO2 is not appropriate as a high T ceramic: it cracks during heating when the transition temperature of 1170°C is reached. By doping with 10 to 20 percent of CaO, MgO or Y2O3 (these oxides form solid solutions with the high T, cubic polymorph of ZrO2 and these cubic solid solutions are stabilized to much lower T) the tetragonal form can be stabilized down to room temperature. Use volume effect to reduce the brittleness 1170oC Toughness Toughness: ability to absorb energy up to fracture Area under the strain-stress curve up to fracture Units: the energy per unit volume, e.g. J/m3 Material deformed plastically and stress is released, the material ends up with a permanent strain. If stress is reapplied, the material again responds elastically at the beginning up to a new yield point that is higher than the original yield point. The amount of elastic strain that it will take before reaching the yield point is called elastic strain recovery. Elastic Recovery During Plastic Deformation
Plastic Deformation of a Single Crystal Slip System When the applied force increases, it may break the bonds of Preferred planes for dislocation another to produce areflanisent shift s to slide he atoms to produce a fract Preferred crystallographic directions brittle materials the first mechanism requires lower forces. but for ductile metals the second one occurs more planes directions (lip systems) highest packing density. a Plastic slip occurs most easily in densely packed planes Distance between atoms shorter than that are widely spaced apart and along directions of closest erage,distance perpendicular to The specific combination of plane and direction is called a nes can slip more easily. BCC and which determines the ease with which a crystal can be s Each lattice structure ha ecific number of slip propagate =FCC and BCC are more deformed ductile than hcp Superplasticity of Nanoscaled Copper Cleavage e-0% taade Some minerals split along flat surfaces when struck hard-this is called mineral cleavage. A mineral cleavage is the way it breaks mInerals tend to break where the bonds holding the aWhen they break, a series of surfaces parallel to 51o0N these bonds may form; the surfaces are called cleavage planes Other minerals break unevenly along rough or mA few minerals have both cleavage and fracture Mineral Cleavage and Crystal Form Mineral cleavage This is the tendency of minerals to break along smooth cLeavage in one direction cLeavage in two directions at right angle CLeavage in three directions at right angles cLeavage in four directions Some minerals lack cleavage( like quartz) Cleavage is related to the atomic structure of the mineral
4 Plastic Deformation of a Single Crystal When the applied force increases, it may break the bonds of the atoms to produce a fracture, or cause the atoms to slide over one another to produce a permanent shift. For brittle materials the first mechanism requires lower forces, but for ductile metals the second one occurs more easily. Plastic slip occurs most easily in densely packed planes that are widely spaced apart and along directions of closest packing. The specific combination of plane and direction is called a slip system. Each lattice structure has a specific number of slip systems which determines the ease with which a crystal can be deformed. Slip System Preferred planes for dislocation movement (slip planes) Preferred crystallographic directions (slip directions) Slip planes + directions (slip systems) ‡highest packing density. Distance between atoms shorter than average; distance perpendicular to plane longer than average. Far apart planes can slip more easily. BCC and FCC have more slip systems compared to HCP: more ways for dislocation to propagate Þ FCC and BCC are more ductile than HCP. Superplasticity of Nanoscaled Copper Cleavage Some minerals split along flat surfaces when struck hard ¾ this is called mineral cleavage. A mineral cleavage is the way it breaks. Minerals tend to break where the bonds holding the atoms together in the crystal are the weakest. When they break, a series of surfaces parallel to these bonds may form; the surfaces are called cleavage planes. Other minerals break unevenly along rough or curved surfaces ¾ this is called fracture A few minerals have both cleavage and fracture Mineral Cleavage This is the tendency of minerals to break along smooth planes. Cleavage in one direction Cleavage in two directions at right angles Cleavage in three directions at right angles Cleavage in three directions not at right angles Cleavage in four directions Some minerals lack cleavage ( like quartz) Cleavage is related to the atomic structure of the mineral Mineral Cleavage and Crystal Form
Mineral Cleavage Cleavability Cleanu in Ionic crystals can be cleaved in certain directions clevage in Shearing force Shearing force The displacement is easiest along plane which have the fewest cation anion contact A NaCl crystal is most easily cleaved sonnen perpendicular to a cell edge Cleavage fracture Mineral fracture Cleavage: reflects the tendency of a mineral to This is how a mineral breaks on an uneven surface k bonds). not all minerals have cle s Some break in a conchoidal fracture like glass vag Cleavage may conform to to crystal faces, but does Some break in a fibrous fracture structure. Crystal faces result from growth Others in a splintery fracture Fracture: mineral breakage along irregula urfaces. All minerals can fracture Fracture is a breakage unrelated to the atomic structure of the mineral Important Materials related to Ceramic Engine Mechanical Properties ● Ceramic Engine ● Memory Metal Advantages: gines have long life mileage by 18% to run at more than 18000rpm's n No loss of oil through leakage of burning
5 Mineral Cleavage Cleavability Ionic crystals can be cleaved in certain directions Shearing force Shearing force The displacement is easiest along planes which have the fewest cation-anion contacts. A NaCl crystal is most easily cleaved perpendicular to a cell edge Cleavage & Fracture • Cleavage: reflects the tendency of a mineral to break along preferred planes of weakness (weak bonds). Not all minerals have cleavage. • Cleavage may conform to crystal faces, but does not have to. Cleavage is a result of atomic structure. Crystal faces result from growth. • Fracture: mineral breakage along irregular surfaces. All minerals can fracture. Mineral Fracture This is how a mineral breaks on an uneven surface. Some break in a conchoidal fracture like glass & quartz Some break in a fibrous fracture Others in a splintery fracture Fracture is a breakage unrelated to the atomic structure of the mineral Important Materials related to Mechanical Properties Ceramic Engine Memory Metal Ceramic Engine Engines have long life Allow engines to run at higher temperature More powerful Improve gas mileage by 18% Allow engines to run at more than 18000rpm’s Valves require no lubrication No loss of oil through leakage of burning Advantages: