... Inc.1Overview of Crystal/Defect Structureand Mechanical Properties andBehavior1.1 INTRODUCTIONThe mechanical behavior of materials describes the response of materials to mechanical loads ... Inc.nonmetals.Ceramicsmayhaveionic,covalent,ormixedionicandcovalentbonds.Therelativelyhighcompressivestrengthsofmostceramicsmayalsobeattributedlargelytostrongionicand/orcovalentbonds.Unfortunately,however,mostceramicsarebrittleduetotheirinabilitytoaccommodatestrainsinthepresenceofcracktips(especiallyundertensileloadingwherecrackstendtoopenup).Metalsandceramicsusuallyhavelong-range,ordered,crystallinestructures.However,amorphousstructuresmayalsoformundercertainprocessingconditions.Inthecaseofcrystallinemetallicandceramicmate-rials,theatomswithineachcrystalallhavethesameorientation.Acrystal-linelattice,consistingofregularrepeatedunits(somewhatakintoLegobuildingblocksinachild’splaykit)inaregularlattice,isobserved.Eachrepeatedunitisusuallyreferredtoasaunitcell,andtheunitcellisgenerallychosentohighlightthesymmetryofthecrystal.Anexampleofatwo-dimensionalunitcellisshowninFig.1.10(a).This illustrates the two-dimensional layered structure of graphit e which isone of the allotropes of carbon. Note ... Inc.odictableofelementswasalsodevelopedinthe19thcenturybeforetheimagingofcrystalstructurewasmadepossibleafterthedevelopmentofx-raytechniqueslaterthatcentury.Forthefirsttime,scientistswereabletoviewtheeffectsofatomsthathadbeenpostulatedbytheancients.Aclearpictureofatomicstructuresoonemergedasanumberofdedicatedscientistsstudiedtheatomicstructureofdifferenttypesofmateri-als.First,itbecameapparentthat,inmanymaterials,theatomscanbegroupedintounitcellsorbuildingblocksthataresomewhatakintothepiecesinaLegoset.Thesebuildingblocksareoftencalledcrystals.However,therearemanymaterialsinwhichnocleargroupingofatomsintounitcellsorcrystalscanbeidentified.Atomsinsuchamorphousmate-rialsareapparentlyrandomlydistributed,anditisdifficulttodiscerncleargroupsofatomsinsuchmaterials.Nevertheless,inamorphousandcrystal-linematerials,mechanicalbehaviorcanonlybeunderstoodifweappreciatethefactthattheatomswithinasolidareheldtogetherbyforcesthatareoftenreferredtoaschemicalbonds.Thesewillbedescribedinthenextsection.1.3CHEMICALBONDSTwodistincttypesofchemicalbondsareknowntoexist.Strongbondsareoftendescribedasprimarybonds,andweakerbondsaregenerallydescribedassecondarybonds.However,bothtypesofbondsareimportant,andtheyoftenoccurtogetherinsolids.Itisparticularlyimportanttonotethattheweakersecondarybondsmaycontrolthemechanicalbehaviorofsomematerials,evenwhenmuchstrongerprimarybondsarepresent.Agoodexampleisthecaseofgraphite (carbon) whichconsistsofstrongprimarybondsandweakersecondarybonds(Fig.1.1).Therelativelylowstrengthofgraphitecanbeattributedtothelowshearstressrequiredtoinducetheslidingofstrongly(primary)bondedcarbonlayersovereachother.Suchslidingiseasybecausethebondsbetweenthesliding(primarybonded)carbonplanesareweaksecondarybonds.1.3.1PrimaryBondsPrimarybondsmaybeionic,covalent,ormetallicincharacter.Sincethesearerelativelystrongbonds,primarybondsgenerallygiverisetostiffsolids.Thedifferenttypesofprimarybondsaredescribedindetailbelow.1.3.1.1IonicBondingIonic...