Plasticity Theory

Plasticity Theory

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The aim of Plasticity Theory is to provide a comprehensive introduction to the contemporary state of knowledge in basic plasticity theory and to its applications. It treats several areas not commonly found between the covers of a single book: the physics of plasticity, constitutive theory, dynamic plasticity, large-deformation plasticity, and numerical methods, in addition to a representative survey of problems treated by classical methods, such as elastic-plastic problems, plane plastic flow, and limit analysis; the problem discussed come from areas of interest to mechanical, structural, and geotechnical engineers, metallurgists and others.
The necessary mathematics and basic mechanics and thermodynamics are covered in an introductory chapter, making the book a self-contained text suitable for advanced undergraduates and graduate students, as well as a reference for practitioners of solid mechanics.
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Product details

  • Paperback | 544 pages
  • 157.48 x 231.14 x 30.48mm | 657.71g
  • New York, United States
  • English
  • Illustrations, unspecified
  • 0486462900
  • 9780486462905
  • 975,091

Table of contents

1. Introduction to Continuum Thermomechanics1.1 Mathematical Fundamentals1.2 Continuum Deformation1.3 Mechanics of Continuous Bodies1.4 Constitutive Relations: Elastic1.5 Constitutive Relations: Inelastic2. The Physics of Plasticity2.1 Phenomenology of Plastic Deformation2.2 Crystal Plasticity2.3 Plasticity of Soils, Rocks and Concrete3. Constitutive Theory3.1 Viscoplasticity3.2 Rate-Independent Plasticity3.3 Yield Criteria, Flow Rules and Hardening Rules3.4 Uniqueness and Extremum Theorems3.5 Limit-Analysis and Shakedown Theorems4. Problems in Contained Plastic Deformation4.1 Elementary Problems4.2 Elastic-Plastic Torsion4.3 The Thick-Walled Hollow Sphere and Cylinder4.4 Elastic-Plastic Bending4.5 Numerical Methods5. Problems in Plastic Flow and Collapse I: Theories and "Exact" Solutions5.1 Plane Problems5.2 Collapse of Circular Plates5.3 Plastic Buckling6. Problems in Plastic Flow and Collapse II: Applications of Limit Analysis6.1 Limit Analysis of Plane Problems6.2 Beams Under Combined Stresses6.3 Limit Analysis of Trusses, Beams and Frames6.4 Limit Analysis of Plates and Shells7. Dynamic Problems7.1 Dynamic Loading of Structures7.2 One-Dimensional Plastic Waves7.3 Three-Dimensional Waves8. Large-Deformation Plasticity8.1 Large-Deformation Continuum Mechanics8.2 Large-Deformation Constitutive Theory8.3 Numerical Methods in Large-Deformation PlasticityReferencesIndex
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About Jacob Lubliner

Jacob Lubliner is Professor Emeritus of Civil and Environmental Engineering at the University of California at Berkeley.
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