Applied PlasticityMechanical engineering, an engineering discipline forged and shaped by the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others . The Mechanical Engineering Series features graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of c- centrations important to mechanical engineering graduate education and research . We are fortunate to have a distinguished roster of consulting editors on the ad- sory board, each an expert in one of the areas of concentration . The names of the consulting editors are listed on the facing page of this volume . The areas of conc- tration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics , mechanics of materials, processing, production systems, thermal science, and tribology . |
Contents
Fundamental Principles | 1 |
12 Basic Laws of Plasticity | 11 |
13 StrainHardening Plasticity | 20 |
14 Cyclic Loading of Structures | 29 |
15 Uniqueness and Stability | 38 |
Problems in Plane Stress | 51 |
22 Discontinuities and Necking | 61 |
23 Yielding of Notched Strips | 69 |
55 Limit Analysis of Conical Shells | 349 |
56 Limit Analysis of Pressure Vessels | 360 |
57 Minimum Weight Design of Shells | 370 |
Plastic Anisotropy | 387 |
62 Anisotropy of Rolled Sheets | 392 |
63 Torsion of Anisotropic Bars | 404 |
64 Plane Strain in Anisotropic Metals | 412 |
65 Anisotropy in Stretch Forming | 423 |
24 Bending of Prismatic Beams | 75 |
25 Limit Analysis of a Hollow Plate | 82 |
26 Hole Expansion in lnfinite Plates | 90 |
27 Stretch Forming of Sheet Metals | 98 |
28 Deep Drawing of Cylindrical Cups | 112 |
29 lroning and Flange Wrinkling | 126 |
Axisymmetric and Related Problems | 137 |
32 Slipline Fields and lndentations | 148 |
33 Necking of a Cylindrical Bar | 161 |
34 Compression of Short Cylinders | 166 |
35 Sinkin of ThinWalled Tubes | 175 |
36 Extrusion of Cylindrical Billets | 182 |
37 Mechanics of Wire Drawing | 196 |
38 Some ThreeDimensional Problems | 205 |
Plastic Bending of Plates | 225 |
42 Deflection of Circular Plates | 241 |
43 Plastic Collapse of Noncircular Plates | 254 |
44 Plane Strain Analogy for Plate Bending | 266 |
45 Minimum Weight Design of Plates | 277 |
Plastic Analysis of Shells | 297 |
52 Cylindrical Shells with End Load | 312 |
53 Yield Point States in Shells of Revolution | 325 |
54 Limit Analysis of Spherical Shells | 335 |
66 Anisotropy in Deep Drawing | 430 |
67 Anisotropy in Plates and Shells | 443 |
Plastic Buckling | 459 |
72 Behavior of Eccentrically Loaded Columns | 467 |
73 Lateral Buckling of Beams | 479 |
74 Buckling of Plates Under Edge Thrust | 487 |
75 Buckling of Cylindrical Shells | 500 |
76 Torsional and Flexural Buckling of Tubes | 513 |
77 Buckling of Spherical Shells | 523 |
Dynamic Plasticity | 538 |
82 Plastic Waves in Continuous Media | 555 |
83 Crumpling of FlatEnded Projectiles | 562 |
84 Dynamic Expansion of Spherical Cavities | 569 |
85 Mechanics of Projectile Penetration | 579 |
86 Impact Loading of Prismatic Beams | 591 |
87 Dynamic Loading of Circular Plates | 607 |
88 Dynamic Loading of Cylindrical Shells | 619 |
89 Dynamic Forming of Metals | 629 |
The Finite Element Method in Plasticity | 650 |
Orthogonal Curvilinear Coordinates | 664 |
| 667 | |
| 673 | |
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Common terms and phrases
analysis angle anisotropy approximation assumed axial bending bending moment boundary conditions buckling characteristic field circular plate circumferential clamped collapse load components compression considered constant corresponding curvature cylindrical shell defined deflection deformation denotes deviatoric differential equation dimensionless discontinuity distribution easily shown edge elastic elastic/plastic element equal equilibrium equation expression extrusion finite flow rule friction given hexagon hinge circle initial integration isotropic material Mech middle surface Mises normal obtained parameter Phys plane strain plastic region plastic strain pressure principal stress punch radial radius ratio relations result rigid/plastic shear stress Sheet Metal shown in Figure simply supported sin² slipline Solids solution spherical spherical cap strain increment strain rate stress-strain curve Substituting symmetry theory thickness Tresca upper bound vector velocity field wave work-hardening yield condition yield criterion yield point yield stress yield surface zero αξ