Mechanics of Materials and Interfaces: The Disturbed State Concept, 1st Edition (Hardback) book cover

Mechanics of Materials and Interfaces

The Disturbed State Concept, 1st Edition

By Chandrakant S. Desai

CRC Press

712 pages | 600 B/W Illus.

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pub: 2000-12-20
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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

    Subject Categories

    BISAC Subject Codes/Headings:
    SCI041000
    SCIENCE / Mechanics / General
    TEC009020
    TECHNOLOGY & ENGINEERING / Civil / General
    TEC021000
    TECHNOLOGY & ENGINEERING / Material Science