Preface to the Second Edition |
Basic Notation |
Errata |
Introduction |
Basic Concepts in the Mechanics of Continuous Media / Chapter 1.: |
Stress / 1.: |
Strain / 2.: |
Rate of Strain / 3.: |
Differential Equations of Motion. Boundary and Initial Conditions / 4.: |
The Mechanical Constitutive Equations of a Body / 5.: |
Problems |
Equations of the Plastic State / Chapter 2.: |
The Mechanical Properties of Solids / 6.: |
Experimental Studies of Plastic Deformations in Complex Stress States. Simple and Complex Loading / 7.: |
Yield Criteria. Yield Surface and Yield Curve / 8.: |
Condition of Constant Maximum Tangential Stress (Tresca-Saint Venant Criterion) / 9.: |
Condition of Constant Intensity of Tangential Stresses (von Mises Criterion) / 10.: |
Conditions of Hardening. Loading Surface / 11.: |
Conditions of Isotropic Hardening / 12.: |
The Theory of Plastic Flow / 13.: |
Deformation Theory of Plasticity / 14.: |
Connection between Flow Theory and Deformation Theory / 15.: |
Generalizations in the Case of Perfect Plasticity. Associated Flow Law / 16.: |
Generalizations. Case of a Hardening Medium / 17.: |
Drucker's Postulate. Convexity of the Loading Surface. Justification of the Associated Flow Law / 18.: |
The Equations of Thermoplasticity / 19.: |
Equations of Elastic-Plastic Equilibrium. The Simplest Problems / Chapter 3.: |
System of Equations for Plastic Equilibrium / 20.: |
Continuity Conditions at the Boundary of Elastic and Plastic Regions / 21.: |
Residual Stresses and Strains / 22.: |
Plastic-Rigid Body / 23.: |
Elastic-Plastic Bending of a Beam / 24.: |
Hollow Sphere under Pressure / 25.: |
Cylindrical Tube under Pressure / 26.: |
Torsion / Chapter 4.: |
Torsion of Prismatic Rods. Basic Equations / 27.: |
Plastic Torsion / 28.: |
Elastic-Plastic Torsion / 29.: |
Torsion of Hardening Rods / 30.: |
Plane Strain / Chapter 5.: |
Basic Equations / 31.: |
Slip Lines and their Properties / 32.: |
Linearization. Simple Stress States / 33.: |
Axisymmetric Field / 34.: |
Boundary Conditions for Stresses / 35.: |
Fundamental Boundary Value Problems / 36.: |
Numerical Methods of Solution / 37.: |
Determination of the Velocity Field / 38.: |
Lines of Discontinuity in Stress and Velocity / 39.: |
Non-Uniqueness of the Velocity Field. Criterion for Selection. Complete Solution / 40.: |
Extension of a Strip Weakened by Notches / 41.: |
Bending of a Strip Weakened by Notches / 42.: |
Bending of a Short Cantilever / 43.: |
Rectangular Neck / 44.: |
Indentation by a Flat Die / 45.: |
Wedge under the Action of a One-Sided Pressure / 46.: |
Compression of a Layer between Rigid Plates / 47.: |
Elastic-Plastic Extension of a Plane with a Circular Hole / 48.: |
Steady Plastic Flow. Drawing of a Strip / 49.: |
Non-Steady Plastic Flow with Geometric Similarity. Indentation by a Wedge / 50.: |
Construction of Compatible Stress and Velocity Fields / 51.: |
Plane Stress / Chapter 6.: |
Equations of Plane Stress / 52.: |
Solutions with von Mises Yield Criterion. Discontinuous Solutions / 53.: |
Solutions with Tresca-Saint Venant Yield Criterion. Discontinuous Solutions / 54.: |
Elastic-Plastic Equilibrium of a Lamina with a Circular Hole under Uniform Pressure / 55.: |
Bending of a Strip with a One-Sided Notch / 56.: |
Axisymmetric Strain / Chapter 7.: |
Equations of Axisymmetric Strain with von Mises Yield Criterion / 58.: |
Equations of Axisymmetric Strain with Tresca-Saint Venant Yield Criterion / 59.: |
Stress in a Thin Plastic Layer with Tension (Compression) / 60.: |
Stress Distribution in the Neck of a Tension Specimen / 61.: |
Plastic Bending of Circular Plates / 62.: |
Extremum Principles and Energy Methods / Chapter 8.: |
Extremum Principles / 63.: |
Extremum Principles for a Plastic-Rigid Body / 64.: |
Theorems on the Limit Load Coefficient / 65.: |
Determination of the Limit Load by Energy Methods / 66.: |
Minimum Principles in Deformation Theory / 67.: |
Ritz's Method. Example: Elastic-Plastic Torsion / 68.: |
Extremum Principles in Plastic Flow Theory / 69.: |
Theory of Shakedown / Chapter 9.: |
Behaviour of Elastic-Plastic Bodies under Variable Loads / 70.: |
Shakedown Theorems for Elastic-Plastic Bodies / 71.: |
Approximate Method of Solution. Example / 72.: |
Stability of Elastic-Plastic Equilibrium / Chapter 10.: |
Criteria of Stability / 73.: |
Stability of a Compressed Rod. Reduced-Modulus and Tangent-Modulus Loads / 74.: |
Stability of a Strip Bent by Couples / 75.: |
Stability of Compressed Plates / 76.: |
Dynamical Problems / Chapter 11.: |
Propagation of Elastic-Plastic Waves in a Rod / 77.: |
Dynamical Problems for a Plastic-Rigid Body. Some Energy Theorems / 78.: |
Longitudinal Impact of a Plastic-Rigid Rod against a Stationary Barrier / 79.: |
Bending of a Plastic-Rigid Beam under an Impulsive Load / 80.: |
Composite Media. Visco-Plasticity / Chapter 12.: |
Composite Media / 81.: |
Visco-Plastic Medium / 82.: |
Creep-Plastic Medium / 83.: |
Appendix |
Bibliography |
Index |
Preface to the Second Edition |
Basic Notation |
Errata |