Plasticity Theory

ISBN-10: 0486462900

ISBN-13: 9780486462905

Edition: 2008

Authors: Jacob Lubliner

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Description:

This self-contained text for advanced undergraduate and graduate students is devoted to classical quasistatic problems of rate-independent plasticity theory. It discusses the finite element method for both viscoplastic and rate-independent plastic solids, in addition to large deformation plasticity numerical methods for rate-based formulations and hyperelastic methods. 1990 edition.
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Book details

List price: $32.95
Copyright year: 2008
Publisher: Dover Publications, Incorporated
Publication date: 2/29/2008
Binding: Paperback
Pages: 544
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.518
Language: English

Introduction to Continuum Thermomechanics
Mathematical Fundamentals
Notation
Cartesian Tensors
Vector and Tensor Calculus
Curvilinear Coordinates
Continuum Deformation
Displacement
Strain
Principal Strains
Compatibility Conditions
Mechanics of Continuous Bodies
Introduction
Stress
Mohr's Circle
Plane Stress
Boundary-Value Problems
Constitutive Relations: Elastic
Energy and Thermoelasticity
Linear Elasticity
Energy Principles
Constitutive Relations: Inelastic
Inelasticity
Linear Viscoelasticity
Internal Variables: General Theory
Flow Law and Flow Potential
The Physics of Plasticity
Phenomenology of Plastic Deformation
Experimental Stress-Strain Relations
Plastic Deformation
Temperature and Rate Dependence
Crystal Plasticity
Crystals and Slip
Dislocations and Crystal Plasticity
Dislocation Models of Plastic Phenomena
Plasticity of Soils, Rocks and Concrete
Plasticity of Soil
"Plasticity" of Rock and Concrete
Constitutive Theory
Viscoplasticity
Internal-Variable Theory of Viscoplasticity
Transition to Rate-Independent Plasticity
Viscoplasticity Without a Yield Surface
Rate-Independent Plasticity
Flow Rule and Work-Hardening
Maximum-Dissipation Postulate and Normality
Strain-Space Plasticity
Yield Criteria, Flow Rules and Hardening Rules
Introduction
Yield Criteria Independent of the Mean Stress
Yield Criteria Dependent on the Mean Stress
Yield Criteria Under Special States of Stress or Deformation
Hardening Rules
Uniqueness and Extremum Theorems
Uniqueness Theorems
Extremum and Variational Principles
Rigid-Plastic Materials
Limit-Analysis and Shakedown Theorems
Standard Limit-Analysis Theorems
Nonstandard Limit-Analysis Theorems
Shakedown Theorems
Problems in Contained Plastic Deformation
Elementary Problems
Introduction: Statically Determinate Problems
Thin-Walled Circular Tube in Torsion and Extension
Thin-Walled Cylinder Under Pressure and Axial Force
Statically Indeterminate Problems
Elastic-Plastic Torsion
The Torsion Problem
Elastic Torsion
Plastic Torsion
The Thick-Walled Hollow Sphere and Cylinder
Elastic Hollow Sphere Under Internal and External Pressure
Elastic-Plastic Hollow Sphere Under Internal Pressure
Thermal Stresses in an Elastic-Plastic Hollow Sphere
Hollow Cylinder: Elastic Solution and Initial Yield Pressure
Elastic-Plastic Hollow Cylinder
Elastic-Plastic Bending
Pure Bending of Prismatic Beams
Rectangular Beams Under Transverse Loads
Plane-Strain Pure Bending of Wide Beams or Plates
Numerical Methods
Integration of Rate Equations
The Finite-Element Method
Finite-Element Methods for Nonlinear Continua
Problems in Plastic Flow and Collapse I: Theories and "Exact" Solutions
Introduction
Plane Problems
Slip-Line Theory
Simple Slip-Line Fields
Metal-Forming Problems
Collapse of Circular Plates
Introduction to Plate Theory
Elastic Plates
Yielding of Plates
Plastic Buckling
Introduction to Stability Theory
Theories of the Effective Modulus
Plastic Buckling of Plates and Shells
Problems in Plastic Flow and Collapse II: Applications of Limit Analysis
Introduction
Limit Analysis of Plane Problems
Blocks and Slabs with Grooves or Cutouts
Problems in Bending
Problems in Soil Mechanics
Beams Under Combined Stresses
Generalized Stress
Extension and Bending
Combined Extension, Bending and Torsion
Bending and Shear
Limit Analysis of Trusses, Beams and Frames
Trusses
Beams
Limit Analysis of Frames
Limit Design of Frames
Limit Analysis of Plates and Shells
Limit Analysis of Plates
Limit Analysis of Shells: Theory
Limit Analysis of Shells: Examples
Dynamic Problems
Dynamic Loading of Structures
Introduction
Dynamic Loading of Beams
Dynamic Loading of Plates and Shells
One-Dimensional Plastic Waves
Theory of One-Dimensional Waves
Waves in Elastic-Plastic bars
Rate Dependence
Application of the Method of Characteristics
Three-Dimensional Waves
Theory of Acceleration Waves
Special Cases
Large-Deformation Plasticity
Large-Deformation Continuum Mechanics
Continuum Deformation
Continuum Mechanics and Objectivity
Large-Deformation Constitutive Theory
Thermoelasticity
Inelasticity: Kinematics
Inelasticity: Thermomechanics
Yield Condition and Flow Rule
Numerical Methods in Large-Deformation Plasticity
Rate-Based Formulations
"Hyperelastic" Numerical Methods
References
Index
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