Mechanical Metallurgy |
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Page 65
... equations constitute the equations of equilibrium for plane stress . For a three - dimensional stress system there will be three equations , each containing one partial derivative of the normal stress and two partial derivatives of the ...
... equations constitute the equations of equilibrium for plane stress . For a three - dimensional stress system there will be three equations , each containing one partial derivative of the normal stress and two partial derivatives of the ...
Page 66
... equations which relate these un- knowns in the x , y , z coordinate system . These equations are : the six equations relating strains with displacements , Eq . ( 2-42 ) ; the six constitutive equations relating strain with stress , Eqs ...
... equations which relate these un- knowns in the x , y , z coordinate system . These equations are : the six equations relating strains with displacements , Eq . ( 2-42 ) ; the six constitutive equations relating strain with stress , Eqs ...
Page 93
... Equations ( 3-46 ) show a strong resemblance to the equations for Hooke's law , Eqs . ( 2-64 ) and ( 2-65 ) . In place of a fixed Young's modulus , the plasticity equa- tions have a variable plastic modulus ō / dē , and Poisson's ratio ...
... Equations ( 3-46 ) show a strong resemblance to the equations for Hooke's law , Eqs . ( 2-64 ) and ( 2-65 ) . In place of a fixed Young's modulus , the plasticity equa- tions have a variable plastic modulus ō / dē , and Poisson's ratio ...
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