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Plasticity for Structural Engineers : J Ross Publishing Classics - Wai-Fah Chen

Plasticity for Structural Engineers

J Ross Publishing Classics

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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. 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 Fully-worked examples, end-of-chapter problems, answers to selected problems, and clear illustrations and tables are provided -Important constitutive equations for structural materials and applications to steel and concrete structures -Examples of the most useful constitutive models and analytical methods

"One of the best books on the elastic and plastic behavior of structural elements under complex stress conditions." -M. Grujicic, Clemson University; "Professors Chen and Han are to be congratulated for their quite unique contribution... a treasure on the bookshelf of those who seriously commit themselves in the study of structural plasticity" -Applied Mechanics Reviews

Prefacep. v
Notationp. xi
Fundamentals
Introductionp. 3
Introductionp. 3
Historical Remarksp. 5
Plastic Behavior in Simple Tension and Compressionp. 7
Modeling of Uniaxial Behavior in Plasticityp. 11
Index Notationp. 26
Summaryp. 40
Referencesp. 40
Problemsp. 40
Answers to Selected Problemsp. 44
Yield and Failure Criteriap. 46
Stressp. 46
Yield Criteria Independent of Hydrostatic Pressurep. 72
Failure Criterion for Pressure-Dependent Materialsp. 84
Anisotropic Failure/Yield Criteriap. 99
Summaryp. 103
Referencesp. 104
Problemsp. 104
Answers to Selected Problemsp. 111
Elastic Stress-Strain Relationsp. 117
Strainp. 117
Linear Elastic Isotropic Stress-Strain Relation-Hooke's Lawp. 138
Nonlinear Elastic Isotropic Stress-Strain Relationp. 148
Principle of Virtual Workp. 161
Drucker's Stability Postulatep. 163
Normality, Convexity, and Uniqueness for an Elastic Solidp. 165
Incremental Stress-Strain Relationsp. 171
Summaryp. 172
Referencesp. 173
Problemsp. 174
Answers to Selected Problemsp. 176
Plastic Stress-Strain Relations
Stress-Strain Relations for Perfectly Plastic Materialsp. 179
Introductionp. 179
Plastic Potential and Flow Rulep. 181
Flow Rule Associated with von Mises Yield Functionp. 183
Flow Rule Associated with Tresca Yield Functionp. 85
Flow Rule Associated with Mohr-Coulomb Yield Functionp. 189
Convexity, Normality, and Uniqueness for Elastic-Perfectly Plastic Materialsp. 192
A Simple Elastic-Plastic Problem: The Expansion of a Thick-Walled Cylinderp. 197
Incremental Stress-Strain Relationshipsp. 207
Prandti-Reuss Material Model (J2 Theory)p. 210
Drucker-Prager Material Modelp. 216
General Isotropic Materialp. 221
Referencesp. 225
Problemsp. 226
Answers to Selected Problemsp. 230
Stress-Strain Relations for Work-Hardening Materialsp. 232
Introductionp. 232
Deformation Theory of Plasticityp. 233
Loading Surface and Hardening Rulesp. 239
Flow Rule and Drucker's Stability Postulatep. 250
Effective Stress and Effective Strainp. 256
Illustrative Examplesp. 261
Incremental Stress-Strain Relationshipsp. 267
Referencesp. 281
Problemsp. 282
Answers to Selected Problemsp. 286
Metal Plasticity
Implementation in Metalsp. 293
Introductionp. 293
Formulation of the Elastic-Plastic Matrixp. 294
Finite-Element Formulationp. 296
Numerical Algorithms for Solving Nonlinear Equationsp. 299
Numerical Implementation of the Elastic-Plastic Incremental Constitutive Relationsp. 308
Bounding Surface Theoryp. 317
Extension to Anisotropic Casep. 326
Referencesp. 340
Concrete Plasticity
Implementation in Concretesp. 345
Introductionp. 345
Failure Criteriap. 353
Plasticity Modehng: Hardening Behaviorp. 368
Plasticity Modeling: Softening Behaviorp. 383
Referencesp. 399
Appendixp. 401
Limit Analysis
General Theorems of Limit Analysis and Their Applicationsp. 409
Introductionp. 409
Theorems of Limit Analysisp. 411
Applications of the General Theoremsp. 421
Discontinuous Stress Fieldsp. 427
Basic Techniques in Applications of the Upper-Bound Methodp. 447
Example Problems in Plane Stress, Plane Strain, and 3-Dp. 468
Referencesp. 486
Problemsp. 486
Answers to Selected Problemsp. 489
Limit Analysis of Engineering Structuresp. 492
Introductionp. 492
Bending of Beams and Framesp. 497
Combined Axial and Bending Forces in Frames and Archesp. 506
Effect of Shear Forcep. 518
Limit Analysis of Platesp. 526
Limit Analysis of Plates on Elastic Foundationsp. 533
Limit Analysis of Shellsp. 568
Referencesp. 589
Problemsp. 590
Answers to Selected Problemsp. 596
Indexp. 601
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9781932159752
ISBN-10: 1932159754
Series: J Ross Publishing Classics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 606
Published: 1st February 2007
Country of Publication: US
Dimensions (cm): 22.86 x 15.24  x 3.18
Weight (kg): 0.83