Cracks And Fracture

Cracks and Fracture consists of nine chapters in logical sequence. In two introductory chapters, physical processes in the vicinity of the crack edge are discussed and the fracture process is described. Chapter 3 develops general basic concepts and relations in crack mechanics, such as path independent integrals, stress intensity factors and energy flux into the crack edge region. Chapters 4-7 deal with elastostatic cracks, stationary or slowly moving elastic-plastic cracks, elastodynamic crack mechanics and elastoplastic aspects of fracture, including dynamic fracture mechanics. Appendices include general formulae, the basic theory of analytic functions, introduction to Laplace and Hankel transforms and description of certain basic relations, for instance for stress waves in solids. There is an extensive bibliography, containing references to both classical and recent work, and a comprehensive index. Presents an extensive bibliography containing references to both classical and recent works and a comprehensive index Appendices include general formulas, the basic theory of analytic functions, introduction to Laplace and Hankel transforms, and descriptions of certain basic relations, for instance for stress waves in solids

Cracks and Fracture consists of nine chapters in logical sequence. In two introductory chapters, physical processes in the vicinity of the crack edge are discussed and the fracture process is described. Chapter 3 develops general basic concepts and relations in crack mechanics, such as path independent integrals, stress intensity factors and energy flux into the crack edge region. Chapters 4-7 deal with elastostatic cracks, stationary or slowly moving elastic-plastic cracks, elastodynamic crack mechanics and elastoplastic aspects of fracture, including dynamic fracture mechanics. Appendices include general formulae, the basic theory of analytic functions, introduction to Laplace and Hankel transforms and description of certain basic relations, for instance for stress waves in solids. There is an extensive bibliography, containing references to both classical and recent work, and a comprehensive index. Key Features * Presents an extensive bibliography containing references to both classical and recent works and a comprehensive index * Appendices include general formulas, the basic theory of analytic functions, introduction to Laplace and Hankel transforms, and descriptions of certain basic relations, for instance for stress waves in solids

This book presents recent advances related to the following two topics: how mechanical fields close to material or geometrical singularities such as cracks can be determined; how failure criteria can be established according to the singularity degrees related to these discontinuities. Concerning the determination of mechanical fields close to a crack tip, the first part of the book presents most of the traditional methods in order to classify them into two major categories. The first is based on the stress field, such as the Airy function, and the second resolves the problem from functions related to displacement fields. Following this, a new method based on the Hamiltonian system is presented in great detail. Local and energetic approaches to fracture are used in order to determine the fracture parameters such as stress intensity factor and energy release rate. The second part of the book describes methodologies to establish the critical fracture loads and the crack growth criteria. Singular fields for homogeneous and non-homogeneous problems near crack tips, v-notches, interfaces, etc. associated with the crack initiation and propagation laws in elastic and elastic-plastic media, allow us to determine the basis of failure criteria. Each phenomenon studied is dealt with according to its conceptual and theoretical modeling, to its use in the criteria of fracture resistance; and finally to its implementation in terms of feasibility and numerical application. Contents 1. Introduction. Part 1: Stress Field Analysis Close to the Crack Tip 2. Review of Continuum Mechanics and the Behavior Laws. 3. Overview of Fracture Mechanics. 4. Fracture Mechanics. 5. Introduction to the Finite Element Analysis of Cracked Structures. Part 2: Crack Growth Criteria 6. Crack Propagation. 7. Crack Growth Prediction in Elements of Steel Structures Submitted to Fatigue. 8. Potential Use of Crack Propagation Laws in Fatigue Life Design.

Stochastic Crack Propagation: Essential Practical Aspects describes a feature important to the analysis of stochastic crack propagation, starting with essential background theory. Processes, or phenomena, which are of practical importance in the work of design engineers or R&D teams are described chapter by chapter. Many examples are described and supported by listed references, and files of data that can be used with specialist software to practice design situations are included. Advice on how to use various computer programs to design and predict for stochastic crack growth is also provided, giving professionals a complete guide. Presents instructions and exercises in the ideal format for professionals, focusing on applications Explains a methodology on how to optimize the engineering design process by including stochastic crack growth behavior Provides computational files to help readers get up-to-speed with design using programs like ANSYS and NASTRAN for stochastic crack growth

The purpose of Fitness-for-Service Fracture Assessment of Structures Containing Cracks is to facilitate the use of fracture mechanics based failure assessment procedures for the evaluation and design of structures and components. All practical structures contain flaws and the optimum combination of cost efficiency and safety whilst achieving the required capability, can only be realised by using state of the art methods such as that represented by the European flaw assessment method SINTAP/FITNET to analyse the safety risk. This book is written by practitioners with extensive experience in both the development and use of integrity assessment methods and provides comprehensive information on the basic principles and use of analytical flaw assessment. It provides an introduction to the method, its background, how it can be applied, its potential and, importantly, its limitations. The explanations are complimented by using a large number of worked examples and validation exercises which illustrate all aspects of the procedure. In addition, for students and engineers who are new to the subject, a comprehensive glossary of basic terms used in fracture mechanics based integrity evaluations is included. The topics addressed include: Crack driving force (CDF) and failure assessment diagram (FAD) type analyses Preparation of the input parameters (crack dimensions, stress-strain properties, fracture toughness, statistical aspects) Determination of the model parameters, (stress intensity factor and yield load solutions) Treatment of combined primary and secondary loading, together with residual stress effects Analysis of the effect of constraint effects (treatment of small defects and section size effects) Treatment of mixed mode loading Consideration of the influences of strength mismatch Reliability aspects Comprehensive description of the use of structural integrity methods to optimise cost effectiveness and safety Detailed description of how to evaluate the integrity of structures containing cracks Valuable background information for understanding the methods, their potential and limitations Large number of worked examples, which demonstrate all aspects of the methods Descriptive, readable writing style Applicable to a wide range of interests, from the student (university or self study) to the expert who requires a 'state of the art' document

Crack Control: Using Fracture Theory to Create Tough New Materials goes beyond just trying to understand the origin of cracks and fracture in materials by also providing readers with the knowledge and techniques required to stop cracks at the nano- and micro-levels, covering the fundamentals of crack propagation, prevention, and healing. The book starts by providing a concise foundational overview of cracks and fracture mechanics, then looks at real-life ways that new tougher materials have been developed via crack inhibition. Topics such as crack equilibrium, stress criterion, and stress equations are then outlined, as are methods for inventing new crack-resistant materials. The importance of crack healing is emphasized and cracks that grow under tension, bending, compression, crazing, and adhesion are discussed at length as well Provides a better understanding of crack formation in various materials allowing for more efficient investigations of crack-based material or structural failure Demonstrates how to prevent cracks by arresting them at the nano- and micro-levels Looks at methods for developing new tougher and stronger materials through crack inhibition Emphasizes the importance of crack healing and explains crack stopping through changing the peel shape in various ways

Many people find the concept of fracture and damage mechanics to be somewhat problematic, mainly because, until recently, close attention in mechanics was focused especially on the strength and resistance of materials. In this sense, to speak of fracture is as uncomfortable for some as it is to speak of a deadly disease. In confronting and preventing a fatal disease, one must understand its complexity, symptoms, and behavior; by the same token, in securing the strength of an engineering structure, one must understand the reasons and type of its potential failure. This book will provide knowledge and insights on this matter to its readers.

Introduction to geologic fracture mechanics covering geologic structural discontinuities from theoretical and field-based perspectives.