Theory of PlasticityPlasticity is concerned with the mechanics of materials deformed beyond their elastic limit. A strong knowledge of plasticity is essential for engineers dealing with a wide range of engineering problems, such as those encountered in the forming of metals, the design of pressure vessels, the mechanics of impact, civil and structural engineering, as well as the understanding of fatigue and the economical design of structures. Theory of Plasticity is the most comprehensive reference on the subject as well as the most up to date -- no other significant Plasticity reference has been published recently, making this of great interest to academics and professionals. This new edition presents extensive new material on the use of computational methods, plus coverage of important developments in cyclic plasticity and soil plasticity.
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Contents
1 | |
56 | |
Chapter 3 Elastoplastic Bending and Torsion | 127 |
Chapter 4 Plastic Analysis of Beams and Frames | 233 |
Chapter 5 Further Solutions of Elastoplastic Problems | 323 |
Chapter 6 Theory of the Slipline Field | 419 |
Chapter 7 Steady Problems in Plane Strain | 493 |
Chapter 8 Nonsteady Problems in Plane Strain | 633 |
Chapter 9 Computational Methods | 780 |
Appendixes | 839 |
869 | |
877 | |
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Common terms and phrases
angle angular approximation assumed axial beam bending bending moment boundary conditions circular arc collapse load components compression Consider constant coordinates corresponding cross section curvature defined deflection deformation denoted deviatoric elastic elastic/plastic boundary element equal equation equilibrium expressed extrusion pressure Figure friction fully plastic function geometry given hodograph hydrostatic hydrostatic pressure integral magnitude material matrix Mech nonhardening normal notch obtained Phys plane strain plastic hinges plastic region plastic strain plastic zone platens portal frame principal stress radial radius ratio rectangular respectively resultant rigid rigid/plastic roll rotation shear stress shown in Fig slipline field Solids solution strain increment strain rate stress distribution stress–strain curve surface tangent tension thickness torque unit width upper bound vanishes vector velocity discontinuity vertical work-hardening yield criterion yield point yield stress yield surface zero σθ