Mechanical Metallurgy |
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Page 72
... theory of plasticity deals with the behavior of materials at strains where Hooke's law is no longer valid . A number of aspects of plastic deformation make the mathematical formulation of a theory of plasticity more difficult than the ...
... theory of plasticity deals with the behavior of materials at strains where Hooke's law is no longer valid . A number of aspects of plastic deformation make the mathematical formulation of a theory of plasticity more difficult than the ...
Page 84
... theory and distortion - energy ( von Mises ' ) theory . For the plane - stress condition , the distortion - energy theory of yielding can be expressed mathematically by — = ( 3-27 ) This is the equation of an ellipse whose major ...
... theory and distortion - energy ( von Mises ' ) theory . For the plane - stress condition , the distortion - energy theory of yielding can be expressed mathematically by — = ( 3-27 ) This is the equation of an ellipse whose major ...
Page 89
... theory , the two yielding theories give the same results . In a sense , the octahedral theory can be considered the stress equivalent of the distortion - energy theory . According to this theory , the octahedral shear stress ...
... theory , the two yielding theories give the same results . In a sense , the octahedral theory can be considered the stress equivalent of the distortion - energy theory . According to this theory , the octahedral shear stress ...
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