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Plasticity for Structural Engineers / Edition 1
     

Plasticity for Structural Engineers / Edition 1

by Wai-Fah Chen, Da-Jian Han
 

ISBN-10: 1932159754

ISBN-13: 9781932159752

Pub. Date: 02/28/2007

Publisher: J Ross Pub

This comprehensive text addresses the elastic and plastic behavior of general structural elements under combined stress. It sets out to examine the stress-strain behaviors of materials under simple test conditions and proceeds to show how these behaviors can be generalized under combined stress. The topic of structural plasticity is presented in a manner that is

Overview

This comprehensive text addresses the elastic and plastic behavior of general structural elements under combined stress. It sets out to examine the stress-strain behaviors of materials under simple test conditions and proceeds to show how these behaviors can be generalized under combined stress. The topic of structural plasticity is presented in a manner that is simple and concise, encompassing the classical theory of metal plasticity as well as concrete plasticity.

An unabridged J. Ross Publishing republication of the edition published by Springer-Verlag, New York, 1988, 606pp. Key features: Outlines the finite element implementation of the generalized stress-strain relations for the solution of practical steel and concrete structural problems, Provides worked examples, end-of-chapter problems, answers to selected problems, and clear illustrations and tables, Includes important constitutive equations for structural materials and applications to steel and concrete structures, Offers examples of the most useful constitutive models and analytical methods.

Product Details

ISBN-13:
9781932159752
Publisher:
J Ross Pub
Publication date:
02/28/2007
Series:
J. Ross Publishing Classics Series
Edition description:
Reprint
Pages:
606
Product dimensions:
6.09(w) x 8.75(h) x 1.30(d)

Table of Contents


Preface     v
Notation     xi
Fundamentals
Introduction     3
Introduction     3
Historical Remarks     5
Plastic Behavior in Simple Tension and Compression     7
Modeling of Uniaxial Behavior in Plasticity     11
Index Notation     26
Summary     40
References     40
Problems     40
Answers to Selected Problems     44
Yield and Failure Criteria     46
Stress     46
Yield Criteria Independent of Hydrostatic Pressure     72
Failure Criterion for Pressure-Dependent Materials     84
Anisotropic Failure/Yield Criteria     99
Summary     103
References     104
Problems     104
Answers to Selected Problems     111
Elastic Stress-Strain Relations     117
Strain     117
Linear Elastic Isotropic Stress-Strain Relation-Hooke's Law     138
Nonlinear Elastic Isotropic Stress-Strain Relation     148
Principle of Virtual Work     161
Drucker's Stability Postulate     163
Normality, Convexity, and Uniqueness for an Elastic Solid     165
Incremental Stress-Strain Relations     171
Summary     172
References     173
Problems     174
Answers to Selected Problems     176
Plastic Stress-Strain Relations
Stress-Strain Relations for Perfectly Plastic Materials     179
Introduction     179
Plastic Potential and Flow Rule     181
Flow Rule Associated with von Mises Yield Function     183
Flow Rule Associated with Tresca Yield Function     85
Flow Rule Associated with Mohr-Coulomb Yield Function     189
Convexity, Normality, and Uniqueness for Elastic-Perfectly Plastic Materials     192
A Simple Elastic-Plastic Problem: The Expansion of a Thick-Walled Cylinder     197
Incremental Stress-Strain Relationships     207
Prandti-Reuss Material Model (J2 Theory)     210
Drucker-Prager Material Model     216
General Isotropic Material     221
References     225
Problems     226
Answers to Selected Problems     230
Stress-Strain Relations for Work-Hardening Materials     232
Introduction     232
Deformation Theory of Plasticity     233
Loading Surface and Hardening Rules      239
Flow Rule and Drucker's Stability Postulate     250
Effective Stress and Effective Strain     256
Illustrative Examples     261
Incremental Stress-Strain Relationships     267
References     281
Problems     282
Answers to Selected Problems     286
Metal Plasticity
Implementation in Metals     293
Introduction     293
Formulation of the Elastic-Plastic Matrix     294
Finite-Element Formulation     296
Numerical Algorithms for Solving Nonlinear Equations     299
Numerical Implementation of the Elastic-Plastic Incremental Constitutive Relations     308
Bounding Surface Theory     317
Extension to Anisotropic Case     326
References     340
Concrete Plasticity
Implementation in Concretes     345
Introduction     345
Failure Criteria     353
Plasticity Modehng: Hardening Behavior     368
Plasticity Modeling: Softening Behavior     383
References     399
Appendix     401
Limit Analysis
General Theorems of Limit Analysis and Their Applications     409
Introduction     409
Theorems of Limit Analysis     411
Applications of the General Theorems     421
Discontinuous Stress Fields     427
Basic Techniques in Applications of the Upper-Bound Method     447
Example Problems in Plane Stress, Plane Strain, and 3-D     468
References     486
Problems     486
Answers to Selected Problems     489
Limit Analysis of Engineering Structures     492
Introduction     492
Bending of Beams and Frames     497
Combined Axial and Bending Forces in Frames and Arches     506
Effect of Shear Force     518
Limit Analysis of Plates     526
Limit Analysis of Plates on Elastic Foundations     533
Limit Analysis of Shells     568
References     589
Problems     590
Answers to Selected Problems     596
Index     601

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