ISBN: 978-81-7319-938-7 
Publication Year:   2009
Pages:   200
Binding:   Paper Back

Introduction to Engineering Plasticity covers the mathematical theories of plasticity that are based on hypotheses and assumptions to represent the experimental observations as generalized mathematical formulations. Following a brief introduction in the first chapter, the next three chapters of the book deal with stress and strain tensors, and stress-strain relationships followed by yield criteria and their experimental verifications in chapter five. Associated flow rules and plastic stress-strain relationships are also derived in this chapter. Chapters six and seven present the concepts of plastic anisotropy and plastic instability. The slip-line field theory as applied to plane strain problems of rigid, perfectly plastic materials is presented in chapter eight and the limit theorem is elaborated in chapter nine.

• A number of examples are presented in chapters eight and nine to illustrate the applications of the slip-line field theory, and lower and upper bound theorems

Preface / Plastic Behaviour: Introduction / Flow Curve / Mechanism of Plastic Deformation / Stress: Stress at a Point / Stress Circle / Stress Invariants / Deviatoric Stress / Equilibrium Equations / Strain: Strain at a Point/ Physical Interpretation of Strain Components / Compatibility of Strain / Strain Invariants / Strain Deviator Tensor / Stress-Strain Relations: Introduction / Elastic Stress-Strain Relations / Plastic Stress-Strain Relations / Elastic-Plastic Stress-Strain Relations / Yield and Flow: Yield Condition / von Mises Yield Criterion / Tresca Yield Criterion / Hill Yield Criterion / Experimental Verification of Yield Criteria / Plastic Anisotropy: Introduction / Anisotropic Yield Criterion / Flow Rule / Generalised Stress and Generalised Strain Increment / Plastic Instability: Introduction / First Necking Condition / Second Necking Condition / Instability under Complex State of Stress / Evaluation of Critical Sub-tangent / Slip-line Field Theory: Introduction / Plane Strain / a and ß-lines / Stress Equations / Velocity Equations / Hencky’s First Theorem / Hencky’s Second Theorem / Velocity Discontinuities / Stress Discontinuities / Stress Boundary Conditions / Construction of Slip-line Fields / Construction of Hodograph / Applications of Slip-line Field Technique / Indentation of a Semi-infinite Mass by a Frictionless Wedge shaped Punch/ Plane Strain Compression with Perfectly Rough Platens / Drawing of Rectangular Strip with Frictionless Tapered Die / Limit Theorem: Introduction / Principle of Virtual Work / Principle of Maximum Plastic Work / Lower Bound Theorem / Applications / Upper Bound Theorem / Applications / Review Questions / Bibliography / Index.