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书名 | 屈服准则线性化及其工程应用(英文版) |
分类 | 科学技术-自然科学-物理 |
作者 | 章顺虎 |
出版社 | 冶金工业出版社 |
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简介 | 内容推荐 章顺虎著的《屈服准则线性化及其工程应用》介绍:In this book, plastic deformation behavior is elaborated from the description of varia-bles, to the establishment of mechanical equations, including various linear yield cri-teria, and to the solution of the established mechanical equations. The man contents of this book include 9 chapters, which are the basic theory in the first 5 chapters, the development of yield criteria in the middle two chapters, and the application part of the developed yield criteria in the last three chapters. This book can provide our peers with the references for teaching work, scientific research, and engineering in the field of plastic forming. 目录 1 Fundamental Theory of Stress and Strain 1.1 Summation convention 1.1.1 Free subscript 1.1.2 Dumb subscript 1.1.3 Differential-form summation convection 1.2 Stress analysis 1.2.1 Concept of stress 1.2.2 Stress state and its description 1.2.3 Stress tensor and deviatoric stress tensor 1.3 Strain analysis 1.3.1 Engineering strain and true strain 1.3.2 Geometric equation 1.3.3 Strain tensor and its decomposition References 2 Mechanical Equation and Boundary Condition 2.1 Equilibrium differential equation 2.2 Deformation compatibility equation 2.3 Classical yield criteria 2.3.1 Concept of yield criterion 2.3.2 Tresca yield criterion 2.3.3 Mises yield criterion 2.3.4 Geometrical illustration of Tresca and Mises yield criteria 2.3.5 Twin shear stress yield criterion 2.3.6 Unified yield criterion 2.4 Constitutive equation 2.4.1 Incremental strain theory 2.4.2 Total strain theory 2.4.3 Equivalent stress and equivalent strain 2.5 Models of deformation materials 2.5.1 Model of linearly elastic body 2.5.2 Model of elastic-perfectly plastic body 2.5.3 Model of elastic-plastic strengthening body 2.5.4 Rigid-plastic model 2.5.5 Complex deformation model 2.6 Deformation resistance model 2.7 Basic condition of plastic deformation 2.7.1 Volume-constancy condition 2.7.2 Stress boundary condition 2.7.3 Friction boundary condition References 3 Analytical Principle of Plastic Mechanics 3.1 Thermodynamic basis of energy theory 3.l.1 Variation of kinetic energy (δK) 3.1.2 Variation of external work (δA) 3.1.3 Variation of internal energy (δU) 3.2 Admissible mechanical fields 3.2.1 Statically admissible stress field 3.2.2 Kinematically admissible velocity field 3.3 Virtual work principle 3.3.1 Virtual work principle for the case of existing stress discontinuous surface 3.3.2 Virtual work principle for the case of existing velocity discontinuous surface 3.4 The minimum potential energy principle 3.5 The maximum plastic work principle 3.6 Rigid-plastic variational principle 3.6.1 The first variational principle 3.6.2 The second variational principle 3.7 Limit equilibrium theory 3.7.1 The lower bound theorem 3.7.2 The upper bound theorem References …… |
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