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Mechanics of Materials and Interfaces
The Disturbed State Concept




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ISBN 9780849302480
Published December 20, 2000 by CRC Press
712 Pages 600 B/W Illustrations

 
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Book Description

The disturbed state concept (DSC) is a unified, constitutive modelling approach for engineering materials that allows for elastic, plastic, and creep strains, microcracking and fracturing, stiffening or healing, all within a single, hierarchical framework. Its capabilities go well beyond other available material models yet lead to significant simplifications for practical applications. Until now, however, there has been no resource that fully describes the theory, techniques, and potential of this powerful method.

Mechanics of Materials and Interfaces: Disturbed State Concept presents a detailed theoretical treatment of the DSC and shows that it can provide a unified and simplified approach for mathematical characterization of the mechanical response of materials and interfaces. Within this comprehensive treatment, the author:

  • Compares the DSC with other available models
  • Identifies the physical meaning of the relevant parameters and presents procedures to determine them from laboratory test data
  • Validates the DSC models with respect to laboratory tests used to find the parameters and independent tests not used in the calibration
  • Implements the models in computer procedures
  • Validates those procedures by comparing predictions with observations from simulated and field boundary value problems
  • Solves problems from a variety of disciplines, including civil, mechanical, and electrical engineering

    If you are involved in the mechanics of materials, you owe it to yourself to explore the disturbed state concept. Mechanics of Materials and Interfaces provides the first-and to date, the only-comprehensive means of doing so.
  • Table of Contents

    INTRODUCTION
    Prelude
    Philosophical
    Motivation
    Reference States
    Engineering Materials and Matter
    Continuous , Discontinuous or Mixture
    Transformation and Self Adjustment
    Disturbed Sate Concept
    Disturbance and Damage Models
    DSC and Other Models
    Scope

    THE DISTURBED STATE CONCEPT: Preliminaries
    Introduction
    Engineering Behavior
    Mechanism
    Fully Adjusted State
    Characteristic Dimension
    Observed Behavior
    Formulation of DSC
    Alternative Formulations of DSC
    Material Element Composed of Two Materials
    DSC-Multi -Component System
    DSC For Porous Media
    Composite Materials
    Bonded Materials
    Self Organized Criticality

    RELATIVE INTACT AND FULLY ADJUSTED STATES AND DISTURBANCE
    Specializations
    Disturbance and Function
    Laboratory Tests
    Stiffening or Healing
    Representations of Disturbance
    Creep Behavior
    Rate Dependence
    Disturbance Based on Disorder (Entropy) and Free Energy
    Material Parameters
    DSC EQUATIONS AND SPECIALIZATIONS
    Relative Intact Response
    Fully Adjusted Response
    Specializations
    Thermal Effects
    Disturbance Models
    DSC With and Without Relative Motions
    Critical State for FA Response
    DSC Euqations with Critical State
    Strain Equations
    General Formulation
    Examples 1 to 4
    THEORY OF ELASTICITY IN DSC
    Linear Elasticity
    Nonlinear Elasticity
    Relative Intact Behavior
    Fully Adjusted Behavior
    Disturbance Function
    Material Parameters
    Thermal Effects
    Examples 1 to 8

    THEORY OF PLASTICITY IN DSC
    Mechanisms
    Theoretical Development
    Continuous Yielding or Hardening
    To Hierarchical Single Surface Models
    Incremental Equations
    Parameters and Determination from Laboratory Tests
    Thermoplasticity
    Examples 1 to 7

    HIERARCHICAL SINGLE SURFACE PLASTICITY MODELS IN DSC
    Basic HISS Model
    Specializations of HISS Model
    Material Parameters
    Thermal Effects
    Rate Effects
    Repetitive Loading
    Derivation of Elastoplastic Equations
    Incremental Iterative Analysis
    Correction Procedures
    Thermoplasticity
    Examples including Validations 1 to 16
    Sensitivity Analysis

    CREEP BEHAVIOR: VISCOELASTIC AND VISCOPLASTIC MODELS
    Elastoviscoplastic Model (Perzyna)
    Mechanism of Viscoplastic Solution
    Elastoviscoplastic Equations
    One-Dimensional Formulation of Perzyna's Model
    Disturbance Function
    Finite Element Equations
    Rate Dependent Behavior
    Parameters for Viscoplastic Model
    Temperature Dependence
    Multi-component DSC and Overlay Models
    Specializations: Elastic(e), Viscoelastic(ve), Elastoviscoplastic(evp),
    Material Parameters in Overlay Models
    Examples 1 to 9

    DSC FOR SATURATED AND UNSATURATED MATERIALS
    Brief Review
    Fully Saturated Materials
    Equations
    Terzaghi's Equation
    Incremental DSC Equations
    Disturbance
    Effective Stress Parameter
    Residual Flow Concept
    HISS and DSC Models
    Softening, Degradation and Collapse
    Material Parameters
    Examples 1 to 3

    DSC FOR STRUCTURED AND STIFFENED MATERIALS
    Definition of Disturbance
    Structured Soils
    Dislocation, Softening and Stiffening
    Reinforced and Jointed Systems
    Equivalent Composite
    Individual Solid and Joint Elements
    Rest Periods: Unloading
    Examples 1 to 3

    DSC FOR INTERFACES AND JOINTS
    General Problem
    Review
    Thin Layer Interface Model
    Disturbed State Concept
    Disturbance Function
    Incremental Equations
    Determination of Parameters
    Mathematical and Physical Characteristics of DSC
    Testing
    Examples 1 to 11
    Computer Implementation

    MICROSTRUCTURE, LOCALIZATION AND INSTABILITY
    Microstructure
    Wellposedness
    Localization
    Nonlocality and Characteristic Dimension
    Regularization and Nonlocal Models
    Rate Dependent Models
    Continuum Damage Model
    Nonlocal Continuum
    Strain and Energy Based Models
    Gradient Enrichment of Continuum Models
    Cosserat Continuum
    Stability
    Disturbed State Concept: Nonlocality, Micro-crack Interaction, Characteristic
    Mesh Dependence
    Instability
    Approximate Decoupled DSC
    Stability Analysis of DSC
    Examples 1 to 4
    Appndix 12-1: Thermodynamical Analysis of DSC

    IMPLEMENTATION OF DSC IN COMPUTER PROCEDURES
    Finite Element Formulation
    Solution Schemes
    Algorithms for Creep Behavior
    Algorithms for Coupled Dynamic Behavior
    Partially Saturated Systems
    Cyclic and Repetitive Loading
    Initial Conditions
    Hierarchical Capabilities and Options
    Mesh Adaption Using DSC
    Examples of Applications: Field and Laboratory Simulated Tests 1 to 12

    CONCLUSIONS AND FUTURE TRENDS

    APPENDIX I : DISTURBED STATE, CRITICAL STATE AND SELF ORGANIZED
    CRITICALITY CONCEPTS
    APPENDIX II : DSC PARAMETERS, OPTIMIZATION AND SENSITIVITY

    ...
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