## Basic Engineering Plasticity: An Introduction with Engineering and Manufacturing ApplicationsPlasticity is concerned with understanding the behavior of metals and alloys when loaded beyond the elastic limit, whether as a result of being shaped or as they are employed for load bearing structures. Basic Engineering Plasticity delivers a comprehensive and accessible introduction to the theories of plasticity. It draws upon numerical techniques and theoretical developments to support detailed examples of the application of plasticity theory. This blend of topics and supporting textbook features ensure that this introduction to the science of plasticity will be valuable for a wide range of mechanical and manufacturing engineering students and professionals. · Brings together the elements of the mechanics of plasticity most pertinent to engineers, at both the micro- and macro-levels · Covers the theory and application of topics such as Limit Analysis, Slip Line Field theory, Crystal Plasticity, Sheet and Bulk Metal Forming, as well as the use of Finite Element Analysis · Clear and well-organized with extensive worked engineering application examples, end of chapter exercises and a separate worked solutions manual |

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### Contents

1 | |

33 | |

CHAPTER 3 YIELD CRITERIA | 65 |

CHAPTER 4 NONHARDENING PLASTICITY | 95 |

CHAPTER 5 ELASTICPERFECT PLASTICITY | 127 |

CHAPTER 6 SLIP LINE FIELDS | 161 |

CHAPTER 7 LIMIT ANALYSIS | 213 |

CHAPTER 8 CRYSTAL PLASTICITY | 241 |

### Common terms and phrases

anisotropy applied axes axis buckling co-ordinates coefﬁcients compressive condition conﬁrms constant cylinder deﬁned deﬁnition deformation deviatoric direction displacement displacement vector elastic elastic-plastic Equation equivalent plastic strain equivalent stress extrusion ﬁeld Figure ﬁnd ﬁnite ﬁrst ﬂow curve ﬂow rule follows force friction given gives gradient grain hardening Hencky hodograph identiﬁed inﬂuence initial yield instability isotropic loading material matrix Mech metal Mises modiﬁed normal orthogonal orthotropic plane strain plane stress plastic strain increment Prandtl-Reuss predictions pressure principal stress radial radius ratio reﬂected residual stress roll rotation shear strain shear stress sheet shown in Fig shows slip line solution strain paths strain tensor stress and strain stress components stress plane stress-strain stress-strain curve Substituting tensile tensile stress tension testpiece theory thickness torque torsion Tresca uniaxial vector velocity discontinuities wave yield criterion yield function yield locus yield point yield stress yield surface zone

### Popular passages

Page 5 - Fig. 2.2: the first subscript to the symbol a represents the direction of the stress, and the second the direction of the surface normal. By convention, an outward normal stress acting on the fluid in the...

Page 41 - ... and two space coordinates, x and y. As is standard in boundary-layer theory, x is taken to be the distance measured along the surface (which may be curved) and y is the distance normal to the surface. The turbulence is three dimensional, with velocity components u', v', and w' in the x, y, and z directions, respectively.