: Sergey Alexandrov
: Elastic/Plastic Discs Under Plane Stress Conditions
: Springer-Verlag
: 9783319145808
: 1
: CHF 47.50
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 122
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
This Volume presents a unified approach to calculate the plane stress distribution of stress and strain in thin elastic/plastic discs subject to various loading conditions. There is a vast amount of literature on analytical and semi-analytical solutions for such discs obeying Tresca's yield criterion and its associated flow rule. On the other hand, most of analytical and semi-analytical solutions for Mises yield criterion are based on the deformation theory of plasticity. A distinguished feature of the solutions given in the present volume is that the flow theory of plasticity and Mises yield criterion are adopted. The solutions are semi-analytical in the sense that numerical methods are only necessary to evaluate ordinary integrals and solve transcendental equations. The book shows that under certain conditions solutions based on the deformation and flow theories of plasticity coincide. All the solutions are illustrated with numerical examples. The goal of the book is to provide the reader with a vision and an insight into the problems of analysis and design of elastic/plastic discs. The limitations and the applicability of solutions are emphasized. The book is written for engineers, graduate students and researchers interested in the development of techniques for analysis and design of thin elastic/plastic discs.
Preface6
Acknowledgments8
Contents9
Symbols11
1 Axisymmetric Thermo-Elastic-Plastic Problem Under Plane Stress Conditions12
1.1 Introduction12
1.2 Basic Equations13
1.3 General Stress Solutions19
1.3.1 General Thermo/Elastic Solution19
1.3.2 Yield Criterion (1.5)19
1.3.3 Yield Criterion (1.8)20
1.3.4 Yield Criterion (1.11)22
1.4 General Strain Solutions24
1.4.1 General Thermo/Elastic Solution24
1.4.2 Yield Criterion (1.5)25
1.4.3 Yield Criterion (1.8)28
1.4.4 Yield Criterion (1.11)30
References34
2 Mechanical Loading37
2.1 Disc Under Internal Pressure37
2.1.1 Yield Criterion (1.51.5)38
2.1.2 Yield Criterion (1.81.8)43
2.1.3 Yield Criterion (1.111.11)60
2.2 Disc Under External Pressure73
2.2.1 Yield Criterion (1.51.5)80
2.2.2 Yield Criterion (1.81.8)84
2.2.3 Yield Criterion (1.111.11)95
References100
3 Thermal Loading102
3.1 Disc Loaded by Uniform Temperature Field102
3.1.1 Yield Criterion (1.51.5)103
3.1.2 Yield Criterion (1.81.8)107
3.1.3 Yield Criterion (1.111.11)117