結(jié)構(gòu)塑性力學

1　Introduction
　1.1 Background
　1.2 Unification of Yield and Strength Criteria
　1.3 Plastic Limit Analysis
　1.4 Plastic Limit Analysis of Rotating Solids
　1.5 Shakedown Analysis of Structures
　1.6 Plastic Limit Analysis Based on the Unified Strength Theory
　1.7 Summary
　References
2 Fundamental Concepts of Stress and Strain
　2.1 Stress Components and Invariants
　2.2 Deviatoric Stress Tensor and the Tensor Invariants
　2.3 Principal Shear Stresses
　2.4 Octahedral Shear Stress
　2.5 Strain Components
　2.6 Equations of Equilibrium
　2.7 Generalized Hooke's Law
　2.8 Compatibility Equations
　2.9 Governing Equations for Plane Stress Problems
　2.10 Governing Equations in Polar Coordinates
　2.11 Bending of Circular Plate
　2.12 Summary
　References
3 Yield Condition
　3.1 Introduction
　3.2 Conventional Yield Criteria
　　3.2.1 Maximum Normal Stress Criterion
　　3.2.2 Maximum Shear Stress-based Criteria— Single-shear Theory
　　3.2.3 Octahedral Shear Stress-based Criteria—Three-shear Theory
　　3.2.4 Twin-shear Stress-based Criterion—Twin-shear Theory
　3.3 Unified Yield Criterion for Metallic Materials （Non-SD Materials）
　3.4 Unified Strength Theory for SD Materials
　　3.4.1 Mechanical Model of the Unified Strength Theory
　　3.4.2 Mathematical Modelling of the Unified Strength Theory
　　3.4.3 Mathematical Expression of the Unified Strength Theory
　　3.4.4 Yield Surfaces and Yield Loci of the Unified Strength Theory
　3.5 Significance of the Unified Strength Theory
　3.6 Unified Strength Theory in the Plane Stress State
　3.7 Summary
　3.8 Problems
　Refcrences
4 Theorems of Limit Analysis
　4.1 Introduction
　4.2 Perfectly Plastic Solid
　4.3 Power of Dissipation
　4.4 Lower-bound Theorem
　4.5 Upper-bound Theorem
　4.6 Fundamental Limit Theorems
　4.7 Important Remarks
　　4.7.1 Exact Value of the Limit Load （Complete Solution）
　　4.7.2 Elastic-plastic and Rigid-plastic Bodies
　　4.7.3 Load-bearing Capacity
　　4.7.4 Uniqueness
　References
5 Plastic Limit Analysis for Simply Supported Circular Plates
　5.1 Introduction
　5.2 Basic Equations of Circular Plate
　5.3 Unified Solutions of Simply Supported Circular Plate for Non-SD Materials
　　5.3.1 Uniformly Distributed Load
　　5.3.2 Arbitrary Axisymmetrical Load
　5.4 Unified Solutions of Simply Supported Circular Plate for SD Materials
　　5.4.1 Partial-uniform Load
　　……
6　Plastic Limit Analysis of Clamped Clamped circular Plates
7 Plastic Limit Analysis of Annular Plate
8 Plastic Limit Analyses of Oblique, Rhombic, and Rectangular Plates
9 Plastic Limit Analysis of Pressure Vessels
10 Dynamic Plastic Response of Circular Plate
11 Limit Angular Speed of Rotating Disc and Cylinder
12 Projectile Penetration into Semi-infinite Target
13 Plastic Analysis of Orthogona Circular Plate
14 Unified Limit Analysis of a Wellbore
15 Unified Solution of Shakedown Limit for Thick-Walled Cylinder
16 Unified Solution of Shakedown Limit for Circular Plate
17 Shakedown Analysis of Rotating Cylinder and Disc
Index