Enhanced descriptions from Syndetics:

Reissued in the Oxford Classic Texts in the Physical Sciences series, and first published in 1950, this important and classic book presents a mathematical theory of plastic materials, written by one of the leading researchers in the area. "the author...has done his work so well that it is difficult to see how it could be bettered. The book should rank for many years as an authoritative source of reference." Engineering "...in the reviewer's opinion this book should be in the possession of all those who wish to undertake study and research in the theory of plasticity." Mathematical Gazette

Table of contents provided by Syndetics

• I. Introduction (p. 1)
• 1. Definition of the subject (p. 1)
• 2. Historical outline (p. 2)
• 3. Physical background (p. 4)
• 4. The stress-strain curve (p. 8)
• II. Foundations of the Theory (p. 14)
• 1. The ideal plastic body (p. 14)
• 2. The criterion of yielding (p. 15)
• 3. Strain-hardening (p. 23)
• 4. The complete stress-strain relations (p. 33)
• 5. The Levy-Mises and Reuss equations (p. 38)
• 6. The Hencky stress-strain equations (p. 45)
• 7. Other theories (p. 48)
• III. General Theorems (p. 50)
• 1. The plastic potential (p. 50)
• 2. Uniqueness of a stress distribution under given boundary conditions (p. 53)
• 3. Extremum and variational principles (p. 60)
• IV. The Solution of Plastic-Elastic Problems. I (p. 70)
• 1. Introduction (p. 70)
• 2. Theory of Hohenemser's experiment (p. 71)
• 3. Combined torsion and tension of a thin-walled tube (p. 74)
• 4. Combined torsion and tension of a cylindrical bar (p. 75)
• 5. Compression under conditions of plane strain (p. 77)
• 6. Bending under conditions of plane strain (p. 79)
• 7. Bending of a prismatic beam (p. 81)
• 8. Torsion of a prismatic bar (p. 84)
• 9. Torsion of a bar of non-uniform section (p. 94)
• V. The Solution of Plastic-Eleastic Problems. II (p. 97)
• 1. The expansion of a spherical shell (p. 97)
• 2. The expansion of a cylindrical tube (p. 106)
• 3. Theory of the autofrettage process (p. 114)
• 4. Expansion of a cylindrical cavity in an infinite medium (p. 125)
• VI. Plane Plastic Strain and the Theory of the Slipline Field (p. 128)
• 1. Assumption of a plastic-rigid material (p. 128)
• 2. The plane strain equations referred to Cartesian coordinates (p. 129)
• 3. The plane strain equations referred to the slip-lines (p. 132)
• 4. Geometry of the slip-line field (p. 136)
• 5. The numerical calculation of slip-line fields (p. 140)
• 6. The numerical calculation of the velocity distribution (p. 149)
• 7. Analytic integration of the plane strain equations (p. 151)
• 8. Discontinuities in the stress (p. 157)
• VII. Two-Dimensional Problems of Steady Motion (p. 161)
• 1. Formulation of the problem (p. 161)
• 2. Sheet-drawing (p. 163)
• 3. Ironing of a thin-walled cup (p. 178)
• 4. Sheet-extrusion (p. 181)
• 5. Piercing (p. 186)
• 6. Strip-rolling (p. 188)
• 7. Machining (p. 206)
• 8. Flow through a converging channel (p. 209)
• VIII. Non-Steady Motion Problems in two Dimensions. I (p. 213)
• 1. Geometric similarity and the unit diagram (p. 213)
• 2. Wedge-indentation (p. 215)
• 3. Compression of a wedge by a flat die (p. 221)
• 4. Expansion of a semi-cylindrical cavity in a surface (p. 223)
• 5. Compression of a block between rough plates (p. 226)
• IX. Non-Steady Motion Problems in two Dimensions. II (p. 237)
• 1. Introduction (p. 237)
• 2. Formulation of the problem (p. 238)
• 3. Yielding of notched bars under tension (p. 245)
• 4. Plastic yielding round a cavity (p. 252)
• 5. Indentation and the theory of hardness tests (p. 254)
• X. Axial Symmetry (p. 262)
• 1. Fundamental equations (p. 262)
• 2. Extrusion from a contracting cylindrical container (p. 263)
• 3. Compression of a cylinder under certain distributed loads (p. 265)
• 4. Cylindrical tube under axial tension and internal pressure (p. 267)
• 5. Tube-sinking (p. 269)
• 6. Stress distribution in the neck of a tension specimen (p. 272)
• 7. Compression of a cylinder between rough plates (p. 277)
• 8. Relations along slip-lines and flow-lines (p. 278)
• XI. Miscellaneous Topics (p. 282)
• 1. Deep-drawing (p. 282)
• 2. General theory of sheet-bending (p. 287)
• 3. Plane strain of a general plastic material (p. 294)
• 4. The theory of plane plastic stress, with applications (p. 300)
• 5. Completely plastic states of stress in a prismatic bar (p. 313)
• XII. Plastic Anisotropy (p. 317)
• 1. The yield criterion (p. 318)
• 2. Relations between stress and strain-increment (p. 320)
• 3. Plastic anisotropy of rolled sheet (p. 321)
• 4. Length changes in a twisted tube (p. 325)
• 5. The earing of deep-drawn cups (p. 328)
• 6. Variation of the anisotropic parameters during cold-work (p. 332)
• 7. Theory of plane strain for anisotropic metals (p. 334)
• Appendixes (p. 341)
• Author Index (p. 351)
• Subject Index (p. 354)

Author notes provided by Syndetics