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Fracture and Size Effect in Concrete and Other Quasibrittle Materials: 1st Edition (Hardback) book cover

Fracture and Size Effect in Concrete and Other Quasibrittle Materials

1st Edition

By Zdenek P. Bazant, Jaime Planas

CRC Press

640 pages

Purchasing Options:$ = USD
Hardback: 9780849382840
pub: 1997-12-29

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Fracture and Size Effect in Concrete and Other Quasibrittle Materials is the first in-depth text on the application of fracture mechanics to the analysis of failure in concrete structures. The book synthesizes a vast number of recent research results in the literature to provide a comprehensive treatment of the topic that does not give merely the facts - it provides true understanding.

The many recent results on quasibrittle fracture and size effect, which were scattered throughout many periodicals, are compiled here in a single volume. This book presents a well-rounded discussion of the theory of size effect and scaling of failure loads in structures. The size effect, which is the most important practical manifestation of fracture behavior, has become a hot topic. It has gained prominence in current research on concrete and quasibrittle materials.

The treatment of every subject in Fracture and Size Effect in Concrete and Other Quasibrittle Materials proceeds from simple to complex, from specialized to general, and is as concise as possible using the simplest level of mathematics necessary to treat the subject clearly and accurately. Whether you are an engineering student or a practicing engineer, this book provides you with a clear presentation, including full derivations and examples, from which you can gain real understanding of fracture and size effect in concrete and other quasibrittle materials.

Table of Contents

Why Fracture Mechanics?

Historical Perspective

Reasons for Fracture Mechanics Approach

Sources of Size Effect on Structural Strength

Quantification of Fracture Mechanics Size Effect

Experimental Evidence for Size Effect

Essentials of LEFM

Energy Release Rate and Fracture Energy

LEFM and Stress Intensity Factor

Size Effect in Plasticity and in LEFM

Determination of LEFM Parameters

Setting Up Solutions from Closed-Form Expressions

Approximate Energy-Based Methods

Numerical and Experimental Procedures to Obtain KI and G

Experimental Determination of KIc and Gf

Calculation of Displacements from KI-Expressions

Advanced Aspects of LEFM

Complex Variable Formulation of Plane Elasticity Problems

Plane Crack Problems and Westergaard's Stress Function

The General Near Tip Fields

Path-Independent Contour Integrals

Mixed Mode Fracture Criteria

Equivalent Elastic Cracks and R-Curves

Variability of Apparent Fracture Toughness for Concrete

Types of Fracture Behavior and Nonlinear Zone

The Equivalent Elastic Crack Concept

Fracture Toughness Determination Based on Equivalent Crack Concepts

Two Parameter Model of Jenq and Shah


Stability Analysis in the R-Curve Approach

Determination of Fracture Properties from Size Effect

Size Effect in Equivalent Elastic Crack Approximations

Size Effect Law in Relation to Fracture Characteristics

Size Effect Method: Detailed Experimental Procedures

Determination of R-Curve from Size Effect

Cohesive Crack Models

Basic Concepts in Cohesive Crack Model

Cohesive Crack Models Applied to Concrete

Experimental Determination of Cohesive Crack Properties

Pseudo-Boundary-Integral Methods for Mode I Crack Growth

Boundary-Integral Methods for Mode I Crack Growth

Crack Band Models and Smeared Cracking

Strain Localization in the Series Coupling Model

Localization of Strain in a Softening Bar

Basic Concepts in Crack Band Models

Uniaxial Softening Models

Simple Triaxial Strain-Softening Models for Smeared Cracking

Crack Band Models and Smeared Cracking

Comparison of Crack Band and Cohesive Crack Approaches

Advanced Size Effect Analysis

Size Effect Law Refinements

Size Effect in Notched Structures Based on Cohesive Crack Models

Size Effect on the Modulus of Rupture of Concrete

Compressing Splitting Tests of Tensile Strength

Compression Failure Due to Propagation of Splitting Crack Band

Scaling of Fracture of Sea Ice

Brittleness and Size Effect in Structural Design

General Aspects of Size Effect and Brittleness in Concrete Structures

Diagonal Shear Failure of Beams

Fracturing Truss Model for Shear Failure of Beams

Reinforced Beams in Flexure and Minimum Reinforcement

Other Structures

Effect of Time, Environment, and Fatigue

Phenomenology of Time-Dependent Fracture

Activation Energy Theory and Rate Processes

Some Applications of the Rate Process Theory to Concrete Fracture

Linear Viscoelastic Fracture Mechanics

Rate-Dependent R-Curve Model with Creep

Time-Dependent Cohesive Crack and Crack Band Models

Introduction to Fatigue Fracture and Its Size Dependence

Statistical Theory of Size Effect and Fracture Process

Review of Classical Weibull Theory

Statistical Size Effect Due to Random Strength

Basic Criticisms of Classical Weibull-Type Approach

Handling of Stress Singularity in Weibull-Type Approach

Approximate Equations for Statistical Size Effect

Another View: Crack Growth in an Elastic Random Medium

Fractal Approach to Fracture and Size Effect

Nonlocal Continuum Modeling of Damage Localization

Basic Concepts in Nonlocal Approaches

Triaxial Nonlocal Models and Applications

Nonlocal Model Based on Micromechanics of Crack Interactions

Material Models for Damage and Failure

Microplane Model

Calibration by Test Data, Verification, and Properties of Microplane Model

Nonlocal Adaptation of Microplane Model or Other Constitutive Models

Particle and Lattice Models

Tangential Stiffness Tensor via Solution of a Body with Many Growing Cracks



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