Crack Analysis In Structural Concrete - Shi

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Résumé :
This new book on the fracture mechanics of concrete focuses on the latest developments in computational theories, and how to apply those theories to solve real engineering problems. Zihai Shi uses his extensive research experience to present detailed examination of multiple-crack analysis and mixed-mode fracture.Compared with other mature engineering disciplines, fracture mechanics of concrete is still a developing field with extensive new research and development. In recent years many different models and applications have been proposed for crack analysis...

Biographie:

Preface

CHAPTER 1 Introduction

1.1 Aims of the Book

1.2 Multiple-Crack Problems

1.3 Mixed-Mode Crack Problems

1.4 Crack Interaction and Localization

1.5 Failure Mode and the Maximum Load

1.6 Outline of this Book

References

CHAPTER 2 Linear Elastic and Nonlinear Fracture Mechanics

2.1 Elastic Crack-Tip Fields

2.1.1 Equations of Elasticity and Airy Stress Function

2.1.2 The Williams Solution of Elastic Stress Fields at the Crack Tip

2.1.3 The Complex Stress Function Approach to Elastic Stress Fields at the Crack Tip

2.2 Stress Intensity Factor and K-Controlled Crack-Tip Fields

2.3 The Energy Principles

2.3.1 The Griffith Fracture Theory

2.3.2 The Energy Release Rate G

2.3.3 Relationship between K and G

2.3.4 The Criterion for Crack Propagation

2.4 Plastic Zone Theories at Crack Tip

2.4.1 The Irwin Plastic Zone Corrections

2.4.2 Cohesive Zone Models by Dugdale and Barenblatt

2.5 Fracture Process Zone and Tension-Softening Phenomenon in Concrete

2.6 Fracture Energy GF and Tension-Softening Law in Concrete

2.6.1 Fracture Energy GF

2.6.2 Tension-Softening Law

References

CHAPTER 3 The Fictitious Crack Model and its Numerical Implementation

3.1 Introduction

3.2 Hillerborg and Colleagues' Fictitious Crack Model

3.2.1 Modeling Concept

3.2.2 Numerical Formulation by Petersson's Influence Function Method

3.3 The Principle of Superposition

3.4 The Reciprocity Principle

3.5 The Singularity Issue

3.6 Crack Path Modeling with Dual Nodes

3.7 The Remeshing Scheme for an Arbitrary Crack Path

3.8 The Solution Scheme for Incremental Stress Analysis

References

CHAPTER 4 Extended Fictitious Crack Model for Multiple-Crack Analysis

4.1 Introduction

4.2 Core Issues and Solution Strategy

4.3 Numerical Formulation of a Single-Crack Problem

4.4 Numerical Formulation of a Multiple-Crack Problem

4.5 Crack Analysis of a Simple Beam under Bending

4.5.1 Crack Analysis with a Fixed Crack Path

4.5.2 Crack Analysis with a Curvilinear Crack Path

4.6 Crack Analysis of a Fracture Test of a Real-Size Tunnel-Lining Specimen

4.6.1 Fracture Test on a Tunnel-Lining Specimen

4.6.2 Crack Analysis with a Half-FE-Model

4.6.3 Crack Analysis with a Full-FE-Model

4.7 Crack Analysis of a Scale-Model Test of a Gravity Dam by Carpinteri and Colleagues

4.7.1 Background

4.7.2 Model I: Single-Crack Propagation

4.7.3 Model II: Multiple-Crack Propagation

4.7.4 Model III: Multiple-Crack Propagation

References

CHAPTER 5 Crack Interaction and Localization

5.1 Introduction

5.2 Coefficient of Interaction

5.2.1 Crack Equations and the Source of Crack Interaction

5.2.2 Coefficient of Interaction and Principal Tip Force Coefficient

5.3 Crack Interactions in Notched Concrete Beams under Four-Point Bending

5.3.1 Beams with Small Notches

5.3.2 Beams with Both Small and Large Notches

5.4 Crack Interactions in Tunnel Linings

5.5 Characteristics of Crack Interactions with One and Multiple Tension Zones

References

CHAPTER 6 Failure Modes and Maximum Loads of Notched Concrete Beams

6.1 Introduction

6.2 Numerical Analysis of Notched Beams under Various Load Conditions

6.2.1 Maximum Loads with Monotonic Loadings

6.2.2 Maximum Load Increase with Higher Density of Initial Notches

6.2.3 Maximum Loads with Alternative Loadings

6.3 Critical Initial Notch and...

Sommaire:
the author assesses these in turn, identifying their limitations and offering a detailed treatment of those which have been proved to be robust by comprehensive use. After introducing stress singularity in numerical modelling and some basic modelling techniques, the Extended Fictitious Crack Model (EFCM) for multiple-crack analysis is explained with numerical application examples. This theoretical model is then applied to study two important issues in fracture mechanics - crack interaction and localization, and fracture modes and maximum loads. The EFCM is then reformulated to include the shear transfer mechanism on crack surfaces and the method is used to study experimental problems. With a carefully balanced mixture of theory, experiment and application, Crack Analysis in Structural Concrete is an important contribution to this fast-developing field of structural analysis in concrete....