Johnson / Sowerby / Venter Plane-Strain Slip-Line Fields for Metal-Deformation Processes

A Source Book and Bibliography
1. Auflage 2013
ISBN: 978-1-4832-7849-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 376 Seiten, Web PDF

Plane-Strain Slip-Line Fields for Metal-Deformation Processes: A Source Book and Bibliography provides information pertinent to the theory and application of plain-train slip fields to metal-working problems. This book discusses the industrial importance of axial symmetry. Organized into seven chapters, this book begins with an overview of the oldest processes of metal forming, including forging, coining, hammering, drifting, cutting, or parting. This text then examines the basic aspects of the basic theory of classical plasticity. Other chapters consider the governing equations of the plane plastic flow of a rigid-perfectly plastic solid. This book discusses as well the methods for the solution of problems of plane plastic flow of a rigid-perfectly plastic solid. The final chapter deals with the application of the theory of plasticity to the quasi-static plane-strain deformation of an isotropic rigid-perfectly plastic, rate insensitive material. This book is a valuable resource for mechanical engineers, materials scientists, teachers, and research workers.

Autoren/Hrsg.

Johnson, W.

Sowerby, R.

Venter, R. D.

Inhaltsverzeichnis

1;Front Cover;1
2;Plane-Strain Slip-Line Fields For Metal-Deformation Processes: A Source Book and Bibliography;4
3;Copyright Page;5
4;Table of Contents;8
5;Preface;6
6;CHAPTER 1. Introduction;14
6.1;THE METAL-FORMING PROCESS IN HISTORY;14
6.2;PLANE-STRAIN SLIP-LINE FIELDS: HISTORICAL NOTE;14
6.3;PHYSICAL OBSERVATIONS;16
6.4;REFERENCES;32
7;CHAPTER 2. General Plasticity Theory;35
7.1;INTRODUCTION;35
7.2;STRAIN RATE;36
7.3;EQUILIBRIUM AND THE VIRTUAL WORK EQUATIONS;38
7.4;SURFACES OF STRESS DISCONTINUITY;39
7.5;SURFACES OF VELOCITY DISCONTINUITY;39
7.6;MAXIMUM WORK PRINCIPLE;40
7.7;REFERENCES;51
8;CHAPTER 3. Basic Theory of Plane Plastic Flow;52
8.1;INTRODUCTION;52
8.2;STRESS EQUATIONS;52
8.3;VELOCITY EQUATIONS;57
8.4;HENCKY'S FIRST THEOREM;59
8.5;HENCKY'S SECOND THEOREM;60
8.6;HODOGRAPHS;62
8.7;STRESS PLANE;63
8.8;REQUIREMENTS FOR A COMPLETE SOLUTION;68
8.9;REFERENCES;72
9;CHAPTER 4. Application to Specific Problems;73
9.1;INTRODUCTION;73
9.2;CONSTRUCTION OF SLIP-LINE FIELDS;74
9.3;STRESS BOUNDARY CONDITIONS;79
9.4;SOLUTIONS TO PROBLEMS USING THE UPPER-BOUND METHOD;82
9.5;REFERENCES;86
10;CHAPTER 5. Applications to Specific Processes: Bibliography;87
10.1;1. CENTRED-FAN FIELDS;87
10.2;2. PRESSURE VESSELS;90
10.3;INDENTATION OF A SEMI-INFINITE MEDIUM;99
10.4;CUTTING;105
10.5;SHEET DRAWING;108
10.6;EXTRUSION AND EXTRUSION FORGING;115
10.7;PIERCING;127
10.8;FORGING;130
10.9;SWAGING;140
10.10;YIELDING OF NOTCHED BARS IN TENSION;141
10.11;CRACK INITIATION AND FRACTURE;144
10.12;BIBLIOGRAPHY;157
11;CHAPTER 6. Matrix-operator Methods for Solving Plane-strain Slip-line Field Problems;183
11.1;INTRODUCTION;183
11.2;GOVERNING EQUATIONS IN SLIP-LINE-FIELD THEORY;184
11.3;SERIES EXPANSION FOR RADII OF CURVATURE;189
11.4;CENTRED FANS AND REGULAR NETS;195
11.5;MATRIX OPERATORS;202
11.6;DETERMINATION OF THE COORDINATES OF SLIP LINES;214
11.7;DETERMINATION OF FORCES ACTING ON A SLIP LINE;220
11.8;METHOD OF SOLUTION;224
11.9;APPLICATION OF THE MATRIX-OPERATOR METHOD TO THE SOLUTION OF DIRECT-TYPE PROBLEMS;226
11.10;APPLICATION OF THE MATRIX-OPERATOR METHOD TO THE SOLUTION OF INDIRECT-TYPE PROBLEMS;241
11.11;REFERENCES;269
12;Appendix 1;272
12.1;A. SUBROUTINE PSTAR;272
12.2;B. SUBROUTINE QSTAR;273
12.3;C. SUBROUTINE RMAT;274
12.4;D. SUBROUTINE SMAT;274
12.5;E. SUBROUTINE QMAT;275
12.6;F. SUBROUTINE PMAT;276
12.7;G. SUBROUTINE TMAT;276
12.8;H. SUBROUTINE PMULT;277
12.9;I. SUBROUTINE QMULT;278
12.10;Appendix 2;279
12.11;Appendix 3;282
12.12;Appendix 4;286
13;CHAPTER 7. Plasticity Problems for other than Plane-Strain Conditions;289
13.1;INTRODUCTION;289
13.2;THE METHOD OF CHARACTERISTICS FOR OTHER THAN PLANE-STRAIN PROCESSES;290
13.3;ANISOTROPY;306
13.4;SLIP-LINE FIELDS FOR ANISOTROPIC MATERIALS;330
13.5;REFERENCES;350
14;Appendices;359
15;Additional References;377
16;Author Index;378
17;Subject Index;385