The Mathematical Theory of PlasticityWritten by one of the leaders in the field and first published in 1950, this book remains a classic treatment of the mathematical theory of plastic materials. |
Contents
INTRODUCTION | 1 |
FOUNDATIONS OF THE THEORY | 14 |
GENERAL THEOREMS | 50 |
Extremum and variational principles | 63 |
THE SOLUTION OF PLASTICELASTIC PROBLEMS I | 71 |
THE SOLUTION OF PLASTICELASTIC PROBLEMS II | 97 |
TWODIMENSIONAL PROBLEMS OF STEADY MOTION | 161 |
NONSTEADY MOTION PROBLEMS IN TWO DIMENSIONS I | 213 |
Completely plastic states of stress in a prismatic bar | 313 |
PLASTIC ANISOTROPY | 317 |
The yield criterion | 318 |
Relations between stress and strainincrement | 320 |
Plastic anisotropy of rolled sheet | 321 |
Length changes in a twisted tube | 325 |
The earing of deepdrawn cups | 328 |
Variation of the anisotropic parameters during coldwork | 332 |
NONSTEADY MOTION PROBLEMS IN TWO DIMENSIONS II | 237 |
AXIAL SYMMETRY | 262 |
MISCELLANEOUS TOPICS | 282 |
Plane strain of a general plastic material | 294 |
The theory of plane plastic stress with applications | 300 |
Theory of plane strain for anisotropic metals | 334 |
APPENDIXES | 341 |
| 351 | |
| 354 | |
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Common terms and phrases
a-line angle anisotropy annealed applied approximation autofrettage axial axis B-line boundary conditions calculated Chap characteristics compression constant corresponding curvature determined deviatoric direction discontinuity displacement distortion elastic region element equal equations of equilibrium external friction function G. I. Taylor given Hence Hencky Hencky's increment indentation Inst integral isotropic Journ load material maximum Mech metal Mises Nadai normal obtained order of approximation parallel plane strain plastic boundary plastic deformation plastic region plastic strain plastic strain-increment plastic-elastic plastic-rigid plates positive pressure principal axes principal stress problem Proc radial radius ratios reduction relation Reuss rigid rolling Sachs satisfied shear stress sheet slip-line field solution statically determined strain-path stress and velocity stress components stress distribution stress-increment stress-strain curve surface tangential tensile tension theorem theory thickness torque Tresca's tube work-hardening yield criterion yield locus yield stress yield-point zero ди дх მყ