Mechanical MetallurgyI Mechanical Fundamentals 1 Introduction 2 Stress and Strain Relationships for Elastic Behavior 3 Elements of the Theory of Plasticity II Metallurgical Fundamentals 4 Plastic Deformation of Single Crystals 5 Dislocation Theory 6 Strengthening Mechanisms 7 Fracture III Applications to Materials Testing 8 The Tension Test 9 The Hardness Test 10 The Torsion Test 11 Fracture Mechanics 12 Fatigue of Metals 13 Creep and Stress Rupture 14 Brittle Fracture and Impact Testing IV Plastic Forming of Metals 15 Fundamentals of Metalworking 16 Forging 17 Rolling of Metals 18 Extrusion 19 Drawing of Rods, Wires and Tubes 20 Sheet-Metal Forming 21 Maching of Metals Appendixes |
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Page 33
... 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 elastic solid is a fourth - rank tensor with 81 ...
... 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 elastic solid is a fourth - rank tensor with 81 ...
Page 34
... tensor notation . Thus , the transformation of a second - rank tensor could just as well be written as TaspaTpq where Tpq are the components in the original unprimed axes and T ,, are the components referred to the new primed axes . The ...
... tensor notation . Thus , the transformation of a second - rank tensor could just as well be written as TaspaTpq where Tpq are the components in the original unprimed axes and T ,, are the components referred to the new primed axes . The ...
Page 35
... tensor , that is , it has identical components in any coordinate system . 1 0 0 1 i = j Sij = 0 1 = 0 i #j 0 0 ( 2-28 ) Multiplication of a tensor or products of tensors by 8 ,, result in a reduction of two in the rank of the tensor ...
... tensor , that is , it has identical components in any coordinate system . 1 0 0 1 i = j Sij = 0 1 = 0 i #j 0 0 ( 2-28 ) Multiplication of a tensor or products of tensors by 8 ,, result in a reduction of two in the rank of the tensor ...
Contents
Introduction | 3 |
Stress and Strain Relationships for Elastic Behavior | 18 |
Metallurgical Fundamentals | 101 |
Copyright | |
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alloy aluminum angle annealed ASME ASTM atoms axis behavior billet brittle fracture Burgers vector cold-worked components compression constant crack creep cycles decrease determined diameter direction dislocation line ductile edge dislocation elastic elongation embrittlement energy engineering equation extrusion factor failure fatigue limit fibers Figure flow curve flow stress force forging friction given grain boundaries hot-working hydrostatic increase indentation lattice length load machining martensite material matrix maximum measured mechanical metallurgical Metals Park modulus necking notch occurs particles percent plane-strain plastic deformation plastic strain pressure produce properties ratio recrystallization reduction region residual stresses rolling screw dislocation shear stress sheet shown in Fig slip plane slip systems Society for Metals specimen steel strain hardening strain rate stress-strain curve structure surface temperature tensile strength tensile stress tensor thickness tool torsion Trans usually velocity workpiece yield strength yield stress