Mechanical Properties of Engineered Materials 2008 Part 2 pps

... treatment of the fundamen- tals of the mechanical behavior of materials. The text provides a rigorous review of the fundamental mechanics aspects of the mechanical behavior of materials. Shackleford, ... Inc. 1 Overview of Crystal/Defect Structure and Mechanical Properties and Behavior 1.1 INTRODUCTION The mechanical behavior of materials describes the response...

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... Inc. Bibliography 11FundamentalsofFractureMechanics 11.1Introduction 11.2FundamentalsofFractureMechanics 11.3NotchConcentrationFactors 11.4GriffithFractureAnalysis 11.5EnergyReleaseRateandCompliance 11.6LinearElasticFractureMechanics 11.7Elastic–PlasticFractureMechanics 11.8FractureInitiationandResistance 11.9InterfacialFractureMechanics 11.10DynamicFractureMechanics 11.11Summary Bibliography 1...

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... expressions:  x 0 x 0 ¼  xx þ yy 2 þ  xx À yy 2  cos2ð3 :23 aÞ  y 0 y 0 ¼  xx þ yy 2 þ  xx À yy 2  cos2ð3 :23 bÞ  x 0 y 0 ¼À  xx À yy 2  sin2ð3 :23 cÞ where, xx , yy , xy , x 0 x 0 , y 0 y 0 ,and x 0 y 0 arestressesshowninFig.3.6.The aboveequationscanberepresentedgraphically ... I 2 ,andI 3 into the resulting equation, it can be shown that J 2 is giv...

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... ¼ ffiffiffiffiffiffiffi EG p ¼ 12EP 2 a 2 BEb 3 ! 1 2 ¼ 2 ffiffiffi 3 p Pa Bb 3 =2 ð11:77Þ and for plane strain conditions: K ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi EG ð1   2 Þ s ¼ 12EP 2 a 2 BEð1   2 Þb 3 ! 1 2 ¼ 2 ffiffiffi 3 p Pa Bð1  2 Þ 1 =2 b 3 =2 ð11:78Þ Copyright ... Inc. @ r @r þ 1 r @  @ þ 2 r r ¼0ð11 :21 bÞ Thein-planestraincomponentsaregivenby " rr ¼ @u r @r ð11 :21 cÞ " ...

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... Inc. Theangle,,betweentwodirectionsd 1 ¼½x 1 y 1 z 1 andd 2 ¼½x 2 y 2 z 2  isgivenby cos¼ ^ dd 1 Á ^ dd 2 ¼ x 1 x 2 ^ iiþy 1 y 2 ^ jjþz 1 z 2 ^ kk ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ðx 2 1 þy 2 1 þz 2 1 Þðx 2 2 þy 2 2 þz 2 2 Þ q 2: 4Þ Similarly,theanglebetweentwoplaneswithplanenormalsgivenby n 1 ¼ðu 1 v 1 w 1 )andn 2 ¼ðu 2 v 2...

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... (ksi)] Modulus of elasticity [GPa (10 6 psi)] Alumina (85% dense) 1 620 (23 5) 125 (18) 29 5 ( 42. 5) 22 0 ( 32) Alumina (99.8% dense) 27 60 (400) 20 5 (30) 345 (60) 385 (56) Alumina silicate 27 5 (40) 17 (2. 5) 62 ... Inc. energy,U.Thisgivesthefollowingempiricalconditionforplasticflow undermultiaxialloading:  y ¼ 1 ffiffiffi 2 p ð xx À yy Þ 2 þð yy À zz Þ 2 þð zz À xx Þ 2 n...

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... Inc. Notethat zx ¼ xz ¼ yz ¼ zy ¼0foranedgedislocation.Theelastic stressfieldaroundastationaryedgedislocationisthusgivenby  xx ¼À Gb 2 ð1ÀÞ yð3x 2 þy 2 Þ ðx 2 þy 2 Þ 2 ð6 :21 Þ  yy ¼ Gb 2 ð1ÀÞ yðx 2 Ày 2 Þ ðx 2 þy 2 Þ 2 ð6 :22 Þ  xy ¼ Gb 2 ð1ÀÞ xðx 2 Ày 2 Þ ðx 2 þy 2 Þ 2 ð6 :23 Þ  zz ¼ð xx þ yy Þ¼À Gb ð1ÀÞ y x 2 þy 2 Þ ð6 :24 Þ Theabovestre...

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... of Eq. (7 .26 ) may thus be expressed as E 2 e ¼ 2 3 " 0 ij " 0 ij þ ‘ 2 1  0ð1Þ ijk  0ð1Þ ijk þ 2 3 2 2 2 þ 12 5 ‘ 2 3   ij  ij þ 2 3 2 2 2 À 12 5 ‘ 2 3   ij  ji ð7: 32 However, ... energies of the ordinary dis- locations of type b 1 are greater than the sum of the line energies of the Shockley partials. Hence, Gðb 1 Þ 2 > Gðb 2 Þ...

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... this stage to examine forms of the precipitation strength- ening equations, (8 .22 ), (8 .23 ) and (8 .25 ). Two of the expressions for dis- location cutting [Eqs (8 .23 ) and (8 .25 )] show a strength dependence ... (Gleiter and Hornbogen, 1965): Á pc ¼ 0 :28  3 =2 f 1=3 b 2 r G  1 =2 ð8 :25 Þ where  is the anti-ph ase boundary energy, f is the particle volume fraction, r is the...

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... Silceram 2. 90 121 174 0 2. 1 42 60 Metals Aluminum 2. 70 69 77 47 26 29 Aluminum–3%Zn–0.7%Zr 2. 83 72 325 18 25 115 Brass (Cu-30%Zn) 8.50 100 550 70 12 65 Nickel 20 %Cr–15%Co 8.18 20 4 120 0 26 25 147 Mild ... (Al 2 O 3 ) 3.87 3 82 3 32 0 4.9 99 86 Magnesia (MgO) 3.60 20 7 23 0 0 1 .2 58 64 Silicon nitride (Si 3 N 4 ) 166 21 0 0 4.0 Zirconia (ZrC 2 ) 5. 92 170 900 0...

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