Introduction to Engineering Plasticity

Fundamentals with Applications in Metal Forming, Limit Analysis and Energy Absorption

1st Edition - June 20, 2022
Authors: Tongxi Yu, Pu Xue
Language: English
Paperback ISBN:
9 7 8 - 0 - 3 2 3 - 9 8 9 8 1 - 7
eBook ISBN:
9 7 8 - 0 - 3 2 3 - 9 8 9 8 2 - 4

The theory of plasticity is a branch of solid mechanics that investigates the relationship between permanent deformation and load, and the distribution of stress and strains of… Read more

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The theory of plasticity is a branch of solid mechanics that investigates the relationship between permanent deformation and load, and the distribution of stress and strains of materials and structures beyond their elastic limit. Engineering plasticity underpins the safety of many modern systems and structures. Realizing the full potential of materials as well as designing precise metal processing and energy absorption structures requires mastery of engineering plasticity. Introduction to Engineering Plasticity: Fundamentals with Applications in Metal Forming, Limit Analysis and Energy Absorption presents both fundamental theory on plasticity and emphasizes the latest engineering applications. The title combines theory and engineering applications of plasticity, elaborating on problem solving in real-world engineering tasks such as in metal forming, limit analysis of structures, and understanding the energy absorption of structures and materials. The five main parts of the book cover: Plastic properties of materials and their characterization; Fundamental theory in plasticity; Elastic-plastic problems and typical solutions; and Rigid-plastic problems under plane-stress conditions. This title provides students and engineers alike with the fundamentals and advanced tools needed in engineering plasticity.

Cover image
Title page
Table of Contents
Copyright
Preface
Notation
Chapter 1. Plasticity of metallic materials
1.1. Introduction
1.2. Plastic properties of metallic materials
1.3. Physical basis for plastic deformation
1.4. Plastic instability during axial tension
1.5. Idealization of plastic behavior of materials
1.6. Exercises
Chapter 2. Basic characteristics of structural plasticity
2.1. Three-bar truss structure made of elastic, perfectly plastic material
2.2. Three-bar truss structure made of elastic, linear hardening plastic material
2.3. Influence of large deformation on the load-carrying capacity of a truss structure
2.4. Effect of loading path on stress and strain of the truss
2.5. Yield curve and limit curve on load plane
2.6. Exercises
Chapter 3. Stress and strain
3.1. Stress analysis
3.2. Strain analysis
3.3. Exercises
Chapter 4. Yield criteria
4.1. Initial yield criteria
4.2. Two widely used yield criteria
4.3. Experimental verification of yield criteria
4.4. Subsequent yield criteria
4.5. Exercises
Chapter 5. Plastic constitutive equations
5.1. Elastic constitutive equations
5.2. Drucker's postulate
5.3. Loading and unloading criteria
5.4. Incremental theory (flow theory)
5.5. Deformation theory (total theory of plasticity)
5.6. Yield criterion and flow rule in rock-soil mechanics
5.7. Exercises
Chapter 6. Simple elastic-plastic problems
6.1. Formulation of elastic-plastic boundary value problems
6.2. Deformation of a thin-walled cylinder under combination of tension and torsion
6.3. Elastic–plastic bending of beams (engineering theory)
6.4. Plastic bending of a plate under plane strain condition (accurate theory)
6.5. Free torsion of an elastic–plastic cylinder
6.6. Thick-walled cylinder under internal pressure
6.7. Rotating disk
6.8. Exercises
Chapter 7. Plane strain problems for rigid, perfectly plastic materials
7.1. Basic concepts
7.2. Basic equations of plane strain problems
7.3. Slip line and its geometric properties
7.4. Boundary condition
7.5. Applications of slip line field theory
7.6. Steady plastic flow problems
7.7. Exercises
Chapter 8. Principles of limit analysis
8.1. Limit state and limit analysis
8.2. Principle of virtual work-rate
8.3. Principle of limit analysis
8.4. Applications of bound theorems
8.5. Exercises
Chapter 9. Limit analysis of beams and frames
9.1. Introduction
9.2. Collapse mechanism including plastic hinges
9.3. Bound theorems in limit analysis of beams and frames
9.4. Kinematical method and statical method
9.5. Limit curve and its applications
9.6. Exercises
Chapter 10. Limit analysis of plates
10.1. Fundamental equations of plates
10.2. Limit analysis of axisymmetric bending of circular plates
10.3. Kinematic solutions of noncircular plates
10.4. Load-carrying capacity of plates under large deformation
10.5. Stamping of circular plates
10.6. Exercises
Chapter 11. Utilizing plastic deformation for energy absorption
11.1. Introduction
11.2. Ring and circular tube under transverse compression
11.3. Circular tube and square tube under axial compression
11.4. Tube inversion
11.5. Energy absorption of cellular materials
11.6. Exercises
Chapter 12. Introduction to dynamic plasticity
12.1. Overview
12.2. Propagation of elastic–plastic stress waves
12.3. Dynamic characteristics of materials under a high strain rate
12.4. Dynamic response of a rigid perfectly plastic beam
12.5. Effect of loading speed on energy absorption
12.6. Exercises
Index

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Tongxi Yu

Pu Xue