1st Edition
Fracture and Size Effect in Concrete and Other Quasibrittle Materials
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.
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
R-Curves
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
References
Index
Biography
Zdenek P. Bazant, Jaime Planas
