Mechanical Metallurgy |
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Page 33
... tensor.1 The elastic constant that relates stress with strain in an elastic solid is a fourth - rank tensor with 81 components in the general case . The product of two vectors A and B having components ( A1 , A2 , A3 ) and ( B1 , B2 ...
... tensor.1 The elastic constant that relates stress with strain in an elastic solid is a fourth - rank tensor with 81 components in the general case . The product of two vectors A and B having components ( A1 , A2 , A3 ) and ( B1 , B2 ...
Page 35
... tensor notation . tensor could just as well be written as T a spaia Tp in the original unprimed axes and T are the components referred to the new primed axes . The transformation law for a third - rank tensor is written as = Tstoaspata ...
... tensor notation . tensor could just as well be written as T a spaia Tp in the original unprimed axes and T are the components referred to the new primed axes . The transformation law for a third - rank tensor is written as = Tstoaspata ...
Page 36
George E. Dieter. The invariants of the stress tensor may be determined readily from the matrix of its components . Since 012021 , etc. , the stress tensor is a symmetric tensor . = 011 012 013 σij 012 022 023 013 023 033 The first ...
George E. Dieter. The invariants of the stress tensor may be determined readily from the matrix of its components . Since 012021 , etc. , the stress tensor is a symmetric tensor . = 011 012 013 σij 012 022 023 013 023 033 The first ...
Contents
Elements of the Theory of Plasticity | 3 |
Dislocation Theory | 150 |
Strengthening Mechanisms | 190 |
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 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 single crystals 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