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Generalized Plasticity / Edition 1

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Overview

Generalized Plasticity deals with the plasticity of materials and structures. It is an expansion of the "Unified Strength Theory to Plasticity Theory", leading to a unified treatment of metal plasticity and plasticity of geomaterials, generally. It includes the metal plasticity for Tresca materials, Huber-von-Mises materials and twin-shear materials and the geomaterial plasticity for Mohr-Coulomb materials, generalized twin-shear materials and the Unified Strength Theory.

The book is divided into five major parts: 1. Yield function and choice; 2. Constitutive relation; 3. Slip-line Field Theory for plane strain problems, Characteristics Field Theory for plane stress problems and Characteristics Field Theory for spatial axisymmetrical problems; 4. Plastic zone analysis at crack tip and fracture criterion for mixed mode crack; 5. Limit loads and shakedown loads for pressure vessel. Examples of applications and problems are given for most chapters.

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Product Details

  • ISBN-13: 9783540251279
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/1/2005
  • Edition description: 2006
  • Edition number: 1
  • Pages: 448
  • Product dimensions: 6.30 (w) x 9.20 (h) x 1.20 (d)

Table of Contents

1 Introduction 1
2 Stress space and stress state 15
3 Basic characteristic of yield of materials under complex stress 33
4 Unified strength theory and its material parameters 50
5 Reasonable choice of a yield function 95
6 Elasto-plastic costitutive relations 122
7 Concrete plasticity 155
8 Twin-shear slip-line field for plane strain problem 195
9 Unified slip-line field theory for plane strain problem 225
10 Twin-shear characteristic field for plane stress problem 270
11 Unified characteristics field theory for plane stress problem 293
12 Unified characteristics line theory for spatial axisymmetric problem 322
13 Unified solution of plastic zones at crack tip under small scale yielding 351
14 Unified fracture criteria for mixed mode crack initiation and fatigue crack growth 375
15 Limit load and shakedown load of pressures vessel 401
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