Plasticity : fundamentals and applications

✍ Scribed by Dixit, Prakash Mahadeo; Dixit, Uday S

• Publisher: CRC Press
• Year: 2015
• Tongue: English
• Leaves: 578
• Category: Library

✦ Synopsis

"Preface Plastic deformation of metals is either desirable or undesirable depending on the situation. A structure or machine element should not undergo permanent deformation during the course of loading. Hence, the design is carried out so as to avoid plastic deformation. On the other hand, when the objective is to convert a raw material into a finished product, plastic deformation of the material is one option. Here, proper knowledge of plasticity is needed for process optimization. Sometimes, plastic deformation is desirable in situations where failure is inevitable. One example is the crash of an automobile, where a significant amount of plastic deformation of the vehicle body will protect the passengers from injury. In spite of the importance of plastic deformation, in most of engineering colleges, plasticity theory is not offered as a course in an undergraduate program. Many postgraduate programs in design and manufacturing also lack a course on plasticity. Lack of faculty and adequate textbooks contribute to this trend. A number of dissertations involving plasticity are carried out by students without a sound understanding of the basic concepts"-- Read more...

Abstract: "Preface Plastic deformation of metals is either desirable or undesirable depending on the situation. A structure or machine element should not undergo permanent deformation during the course of loading. Hence, the design is carried out so as to avoid plastic deformation. On the other hand, when the objective is to convert a raw material into a finished product, plastic deformation of the material is one option. Here, proper knowledge of plasticity is needed for process optimization. Sometimes, plastic deformation is desirable in situations where failure is inevitable. One example is the crash of an automobile, where a significant amount of plastic deformation of the vehicle body will protect the passengers from injury. In spite of the importance of plastic deformation, in most of engineering colleges, plasticity theory is not offered as a course in an undergraduate program. Many postgraduate programs in design and manufacturing also lack a course on plasticity. Lack of faculty and adequate textbooks contribute to this trend. A number of dissertations involving plasticity are carried out by students without a sound understanding of the basic concepts"

✦ Table of Contents

Content: Solid Mechanics and Its Applications Introduction Continuum Hypothesis Elasto-Plastic Solids Applications of Solid Mechanics Scope of this Textbook Review of Algebra and Calculus of Vectors and Tensors Introduction Index Notations Kronecker Delta and Levy-Civita Symbols Vectors Transformation Rules for Vector Components under the Rotation of Cartesian Coordinate System Tensors Tensors and Vectors in Curvilinear Coordinates References Stress Introduction Stress at a Point Surface Forces and Body Forces Momentum Balance Laws Theorem of Virtual Work Cauchy's Theorem Transformation of Stress Components Stresses on an Oblique Plane Principal Stresses Maximum Shear Stress Octahedral Stresses Hydrostatic and Deviatoric Stresses Mohr's Circle References Measures of Deformation and Rate of Deformation Introduction Deformation Linear Strain Tensor Infinitesimal Rotation Tensor Deformation Gradient Green Strain Tensor Almansi Strain Tensor Logarithmic Strain Tensor Strain-Displacement Relation in Curvilinear Coordinate Transformation of Strain Components Principal Strains Maximum Shear Strain Octahedral Strain Volumetric Strain Mean and Deviatoric Strain Mohr's Circle for Strain Incremental Strain Tensor Material and Local Time Derivative Rate of Deformation Tensor Spin Tensor On Relation between Incremental Strain and Strain Rate Tensors Compatibility Conditions References Incremental and Rate Type of Elastic-Plastic Constitutive Relations for Isotropic Materials, Objective Incremental Stress and Stress Rate Measures Introduction Elastic Stress-Strain Relations for Small Deformation Experimental Observations on Elastic-Plastic Behavior Criteria for Initial Yielding of Isotropic Materials Modeling of Isotropic Hardening or Criterion for Subsequent Isotropic Yielding Elastic-Plastic Stress-Strain and Stress-Strain Rate Relations for Isotropic Materials Objective Incremental Stress and Objective Stress Rate Tensors Unloading Criterion References Eulerian and Updated Lagrangian Formulations Introduction Equation of Motion in Terms of Velocity Derivatives Incremental Equation of Motion Eulerian Formulation Example of Eulerian Formulation: A Wire Drawing Problem Updated Lagrangian Formulation Example on Updated Lagrangian Formulation: Forging of a Cylindrical Block References Calculus of Variations and Extremum Principles Introduction Functional Extremization of a Functional Solution of Extremization Problems Using delta Operator Obtaining Variational Form from a Differential Equation Principle of Virtual Work Principle of Minimum Potential Energy Solution of Variational Problems by Ritz Method References Two-Dimensional and Axisymmetric Elasto-Plastic Problems Introduction Symmetric Beam Bending of a Perfectly Plastic Material (-D Problem) Hole Expansion in an Infinite Plate (Plane Stress and Axisymmetric Problem) Analysis of Plastic Deformation in the Flange of Circular Cup during Deep Drawing Process (Plane Stress and Axisymmetric Problem) Necking of a Cylindrical Rod References Appendix A Appendix B Contact Mechanics Introduction Hertz Theory Elastic-Plastic Indentation Cavity Model Sliding of Elastic-Plastic Solids Rolling Contact Principle of Virtual Work and Discretization of Contact Problems References Dynamic Elasto-Plastic Problems Introduction Longitudinal Stress Wave Propagation in a Rod (-D Problem) Taylor Rod Problem (Impact of Cylindrical Rod against Flat Rigid Surface, -D Problem) References Continuum Damage Mechanics and Ductile Fracture Introduction Motivation Objective and Plan of the Chapter Classification of Fracture Global and Local Approaches to Fracture Limitations of Global and Local Approaches to Fracture Ductile Fracture Models of Fracture Initiation Thermodynamics of Continuum Continuum Damage Mechanics Techniques for Damage Measurement Application of a CDM Model References Plastic Anisotropy Introduction Normal and Planar Anisotropy Hill's Anisotropic Yield Criteria Plane Stress Anisotropic Yield Criterion of Barlat and Lian Three-Dimensional Anisotropic Yield Criteria of Barlat and Coworkers Plane Strain Anisotropic Yield Criterion Constitution Relations for Anisotropic Materials Kinematic Hardening References Index

✦ Subjects

Plasticity. Deformations (Mechanics) SCIENCE / Mechanics / General. TECHNOLOGY & ENGINEERING / Material Science. TECHNOLOGY & ENGINEERING / Metallurgy.