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Engineering - Civil Engineering | Plasticity for Structural Engineers

Plasticity for Structural Engineers

Chen, Wai Fah, Han, D.J.

Softcover reprint of the original 1st ed. 1988, 252 figs. XIII, 606 pages.

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Plasticity for Structural Engineers is a practical work that provides engineers and students in structural engineering or structural mechanics with the background needed to make the transition from fundamental theory to computer implementation and engineering practice. It sets out initially to examine the stress-strain behaviors of materials under simple test conditions, goes on to show how these behaviors can be generalized under combined stresses, and finally outlines the finite element implementation of the generalized stress-strain relations for the solution of practical steel and concrete structural problems. Plasticity for Structural Engineers not only offers the reader an understanding of the fundamental principles and theory of plasticity in a form that does not require extensive mathematical experience, but also provides the reader with a compact and convenient summary of the modern development of concrete plasticity and limit analysis in structural engineering.

Content Level » Research

Keywords » concrete - finite element method - mechanics - metals - plasticity - structural mechanics

Related subjects » Civil Engineering - Classical Continuum Physics - Polymer Science

Table of contents 

I Fundamentals.- 1 Introduction.- 1.1 Introduction.- 1.2 Historical Remarks.- 1.3 Plastic Behavior in Simple Tension and Compression.- 1.4 Modeling of Uniaxial Behavior in Plasticity.- 1.5 Index Notation.- 1.6 Summary.- References.- Problems.- Answers to Selected Problems.- 2 Yield and Failure Criteria.- 2.1 Stress.- 2.2 Yield Criteria Independent of Hydrostatic Pressure.- 2.3 Failure Criterion for Pressure-Dependent Materials.- 2.4 Anisotropic Failure/Yield Criteria.- 2.5 Summary.- References.- Problems.- Answers to Selected Problems.- 3 Elastic Stress-Strain Relations.- 3.1 Strain.- 3.2 Linear Elastic Isotropic Stress-Strain Relation—Hooke’s Law.- 3.3 Nonlinear Elastic Isotropic Stress-Strain Relation.- 3.4 Principle of Virtual Work.- 3.5 Drucker’s Stability Postulate.- 3.6 Normality, Convexity, and Uniqueness for an Elastic Solid.- 3.7 Incremental Stress-Strain Relations.- 3.8 Summary.- References.- Problems.- Answers to Selected Problems.- II Plastic Stress-Strain Relations.- 4 Stress-Strain Relations for Perfectly Plastic Materials.- 4.1 Introduction.- 4.2 Plastic Potential and Flow Rule.- 4.3 Flow Rule Associated with von Mises Yield Function.- 4.4 Flow Rule Associated with Tresca Yield Function.- 4.5 Flow Rule Associated with Mohr-Coulomb Yield Function.- 4.6 Convexity, Normality, and Uniqueness for Elastic-Perfectly Plastic Materials.- 4.7 A Simple Elastic-Plastic Problem: The Expansion of a Thick-Walled Cylinder.- 4.8 Incremental Stress-Strain Relationships.- 4.9 Prandtl-Reuss Material Model (J2 Theory).- 4.10 Drucker-Prager Material Model.- 4.11 General Isotropic Material.- References.- Problems.- Answers to Selected Problems.- 5 Stress-Strain Relations for Work-Hardening Materials.- 5.1 Introduction.- 5.2 Deformation Theory of Plasticity.- 5.3 Loading Surface and Hardening Rules.- 5.4 Flow Rule and Drucker’s Stability Postulate.- 5.5 Effective Stress and Effective Strain.- 5.6 Illustrative Examples.- 5.7 Incremental Stress-Strain Relationships.- References.- Problems.- Answers to Selected Problems.- III Metal Plasticity.- 6 Implementation in Metals.- 6.1 Introduction.- 6.2 Formulation of the Elastic-Plastic Matrix.- 6.3 Finite-Element Formulation.- 6.4 Numerical Algorithms for Solving Nonlinear Equations.- 6.5 Numerical Implementation of the Elastic-Plastic Incremental Constitutive Relations.- 6.6 Bounding Surface Theory.- 6.7 Extension to Anisotropic Case.- References.- IV Concrete Plasticity.- 7 Implementation in Concretes.- 7.1 Introduction.- 7.2 Failure Criteria.- 7.3 Plasticity Modeling: Hardening Behavior.- 7.4 Plasticity Modeling: Softening Behavior.- References.- V Limit Analysis.- 8 General Theorems of Limit Analysis and Their Applications.- 8.1 Introduction.- 8.2 Theorems of Limit Analysis.- 8.3 Applications of the General Theorems.- 8.4 Discontinuous Stress Fields.- 8.5 Basic Techniques in Applications of the Upper-Bound Method.- 8.6 Example Problems in Plane Stress, Plane Strain, and 3-D.- References.- Problems.- Answers to Selected Problems.- 9 Limit Analysis of Engineering Structures.- 9.1 Introduction.- 9.2 Bending of Beams and Frames.- 9.3 Combined Axial and Bending Forces in Frames and Arches.- 9.4 Effect of Shear Force.- 9.5 Limit Analysis of Plates.- 9.6 Limit Analysis of Plates on Elastic Foundations.- 9.7 Limit Analysis of Shells.- References.- Problems.- Answers to Selected Problems.

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