Mechanical Metallurgy |
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Page 30
... components S , Sy , Sz , so that 2 S2 = S12 + S122 + S22 ( 2-16 ) x Taking the summation of the forces in the x , y , and z directions , we arrive at the expressions for the orthogonal components of the total stress : S2 = o12l + Tyx m ...
... components S , Sy , Sz , so that 2 S2 = S12 + S122 + S22 ( 2-16 ) x Taking the summation of the forces in the x , y , and z directions , we arrive at the expressions for the orthogonal components of the total stress : S2 = o12l + Tyx m ...
Page 33
... components for their specification , so they are tensors of the first rank . The number of components required to specify a quantity is 3 " , where n is the rank of the tensor.1 The elastic constant that relates stress with strain in an ...
... components for their specification , so they are tensors of the first rank . The number of components required to specify a quantity is 3 " , where n is the rank of the tensor.1 The elastic constant that relates stress with strain in an ...
Page 159
... components are added separately . Thus b1 + b2 = a [ 110 ] + a 。[ 211 ] = a 。[ 321 ] . In adding or subtracting components common unit vectors must be used . Thus ao / 3 [ 112 ] + a。/6[11 ] ] must be expressed as a。/6[224 ] + a。/6 ...
... components are added separately . Thus b1 + b2 = a [ 110 ] + a 。[ 211 ] = a 。[ 321 ] . In adding or subtracting components common unit vectors must be used . Thus ao / 3 [ 112 ] + a。/6[11 ] ] must be expressed as a。/6[224 ] + a。/6 ...
Contents
Introduction 325 | 3 |
Elements of the Theory of Plasticity | 72 |
Plastic Deformation of Single Crystals | 105 |
Copyright | |
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alloys angle annealed atoms axis behavior billet brittle fracture Burgers vector cold-worked components compression constant crack criterion cycles decrease determined diameter direction dislocation line ductile edge dislocation elastic elongation energy equations extrusion factor failure fatigue limit fibers flow curve flow stress force forging friction given grain boundaries hot-working hydrostatic increases lattice length load machining martensite material matrix maximum measured mechanical metallurgical Metals Park modulus normal stress notch occurs orientation particles percent plastic deformation plastic strain polymer pressure produced properties ratio reduction region residual stresses rolling screw dislocation shear strain shear stress sheet shown in Fig shows slip plane slip systems Society for Metals solid specimen steel strain hardening strain rate stress-strain curve structure surface tensile strength tensile stress tensor theory thermal thickness tool torsion Trans usually velocity workpiece yield strength yield stress York