Crack Analysis in Structural Concrete

1st Edition

Theory and Applications

Authors: Zihai Shi
Hardcover ISBN: 9780750684460
eBook ISBN: 9780080942223
Imprint: Butterworth-Heinemann
Published Date: 25th June 2009
Page Count: 344
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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; 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.

Key Features

  • Latest theoretical models analysed and tested
  • Detailed assessment of multiple crack analysis and multi-mode fractures
  • Applications designed for solving real-life engineering problems


Graduate students in civil and structural engineering and related disciplines. Professional civil and structural engineers.

Table of Contents


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


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


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


CHAPTER 4 Extended Fictitious Crack Model for Multiple-Crack Analysis



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About the Author

Zihai Shi

Zihai Shi; R&D Centre, Nippon Koei Co., Ltd.; 2304 Inarihara, Tsukuba-shi, Ibaraki 300-1259He has engaged in renovation design of ageing sewers since 1995, and is familiar with resilience theories and practices in structural engineering.

Affiliations and Expertise

Senior Researcher, Nippon Koei Co., Ltd