Mathematical And Computational Analyses Of Cracking Formation
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Mathematical And Computational Analyses Of Cracking Formation
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Author : Yoichi Sumi
language : en
Publisher: Springer
Release Date : 2014-06-11
Mathematical And Computational Analyses Of Cracking Formation written by Yoichi Sumi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-11 with Science categories.
This book is about the pattern formation and the evolution of crack propagation in engineering materials and structures, bridging mathematical analyses of cracks based on singular integral equations, to computational simulation of engineering design. The first two parts of this book focus on elasticity and fracture and provide the basis for discussions on fracture morphology and its numerical simulation, which may lead to a simulation-based fracture control in engineering structures. Several design concepts are discussed for the prevention of fatigue and fracture in engineering structures, including safe-life design, fail-safe design, damage tolerant design. After starting with basic elasticity and fracture theories in parts one and two, this book focuses on the fracture morphology that develops due to the propagation of brittle cracks or fatigue cracks. In part three, the mathematical analysis of a curved crack is precisely described, based on the perturbation method. The stability theory of interactive cracks propagating in brittle solids may help readers to understand the formation of a fractal-like cracking patterns in brittle solids, while the stability theory of crack paths helps to identify the straight versus sharply curved or sometimes wavy crack paths observed in brittle solids. In part four, the numerical simulation method of a system of multiple cracks is introduced by means of the finite element method, which may be used for the better implementation of fracture control in engineering structures. This book is part of a series on “Mathematics for Industry” and will appeal to structural engineers seeking to understand the basic backgrounds of analyses, but also to mathematicians with an interest in how such mathematical solutions are evaluated in industrial applications.
Mathematical Analysis Of Continuum Mechanics And Industrial Applications Iii
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Author : Hiromichi Itou
language : en
Publisher: Springer Nature
Release Date : 2020-08-29
Mathematical Analysis Of Continuum Mechanics And Industrial Applications Iii written by Hiromichi Itou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-29 with Science categories.
This book focuses on mathematical theory and numerical simulation related to various areas of continuum mechanics, such as fracture mechanics, (visco)elasticity, optimal shape design, modelling of earthquakes and Tsunami waves, material structure, interface dynamics and complex systems. Written by leading researchers from the fields of applied mathematics, physics, seismology, engineering, and industry with an extensive knowledge of mathematical analysis, it helps readers understand how mathematical theory can be applied to various phenomena, and conversely, how to formulate actual phenomena as mathematical problems. This book is the sequel to the proceedings of the International Conference of Continuum Mechanics Focusing on Singularities (CoMFoS) 15 and CoMFoS16.
Analysis Of Cracks In Solids
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Author : A. M. Khludnev
language : en
Publisher: Computational Mechanics
Release Date : 2000
Analysis Of Cracks In Solids written by A. M. Khludnev and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Technology & Engineering categories.
The need for progress in modelling and analysis of crack problems in solids has resulted in renewed attempts at using modern approaches to boundary value problems. By taking a different viewpoint on the traditional treatment of many problems, such as crack theory, the range that can be resolved through mathematical tools is enlarged. This book provides a fresh outlook on crack problems, displaying new methods of studying these and proposing new models for cracks in elastic and nonelastic bodies satisfying physically suitable nonpenetration conditions between crack faces. Two- and three-dimensional bodies, plates and shells with cracks are considered. Properties of solutions such as existence of solutions, regularity up to the crack faces, and convergence of solutions as parameters of a system are varying are established, while different constitutive laws such as elastic, thermoelastic and elastoplastic are also analysed. The new approach presented by the authors is intriguing because it fails to lead to violation of physical properties. In addition, the boundary conditions analysed are given in the form of inequalities, and are properly nonpenetration conditions of crack faces. Thi
Fracture Mechanics And Crack Growth
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Author : Naman Recho
language : en
Publisher: John Wiley & Sons
Release Date : 2012-12-27
Fracture Mechanics And Crack Growth written by Naman Recho and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-27 with Technology & Engineering categories.
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.
The Life Of Cracks
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Author : Srečko Glodež
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2020-07-13
The Life Of Cracks written by Srečko Glodež and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-13 with Technology & Engineering categories.
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.
Fracture Mechanics
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Author : Surjya Kumar Maiti
language : en
Publisher: Cambridge University Press
Release Date : 2015-10-01
Fracture Mechanics written by Surjya Kumar Maiti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-01 with Science categories.
Fracture mechanics studies the development and spreading of cracks in materials. The study uses two techniques including analytical and experimental solid mechanics. The former is used to determine the driving force on a crack and the latter is used to measure material's resistance to fracture. The text begins with a detailed discussion of fundamental concepts including linear elastic fracture mechanics (LEFM), yielding fracture mechanics, mixed mode fracture and computational aspects of linear elastic fracture mechanics. It explains important topics including Griffith theory of brittle crack propagation and its Irwin and Orowan modification, calculation of theoretical cohesive strength of materials through an atomic model and analytical determination of crack tip stress field. This book covers MATLAB programs for calculating fatigue life under variable amplitude cyclic loading. The experimental measurements of fracture toughness parameters KIC, JIC and crack opening displacement (COD) are provided in the last chapter.
Fracture Mechanics
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Author : Alan T. Zehnder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-03
Fracture Mechanics written by Alan T. Zehnder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-03 with Science categories.
Fracture mechanics is a vast and growing field. This book develops the basic elements needed for both fracture research and engineering practice. The emphasis is on continuum mechanics models for energy flows and crack-tip stress- and deformation fields in elastic and elastic-plastic materials. In addition to a brief discussion of computational fracture methods, the text includes practical sections on fracture criteria, fracture toughness testing, and methods for measuring stress intensity factors and energy release rates. Class-tested at Cornell, this book is designed for students, researchers and practitioners interested in understanding and contributing to a diverse and vital field of knowledge.
Inverse And Crack Identification Problems In Engineering Mechanics
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Author : Georgios E. Stavroulakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Inverse And Crack Identification Problems In Engineering Mechanics written by Georgios E. Stavroulakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.
Written for structural and mechanical engineers involved in nondestructive testing and quality control projects as well as research engineers and applied mathematicians, this monograph provides all the required material for the mathematical and numerical modeling of crack identification testing procedures in statis and dynamics. It uses boundary element techniques for delicate computational mechanics modeling and considers both elastostatic and harmonic or transient dynamic problems. Inverse problems are formulated as output error minimization problems and are theoretically studied as a bilevel optimization problem. Beyond classical numerical optimization, soft computing tools (neural networks and genetic algorithms) and filter algorithms are used for the numerical solution. Stavroulakis teaches applied mathematics and civil engineering at the Technical University Carolo Wilhelmina. c. Book News Inc.
Fracture Mechanics And Statistical Mechanics Of Reinforced Elastomeric Blends
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Author : Wolfgang Grellmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-05
Fracture Mechanics And Statistical Mechanics Of Reinforced Elastomeric Blends written by Wolfgang Grellmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Science categories.
Elastomers are found in many applications ranging from technology to daily life applications for example in tires, drive systems, sealings and print rollers. Dynamical operation conditions put extremely high demands on the performance and stability of these materials and their elastic and flow properties can be easily adjusted by simple manipulations on their elastic and viscous properties. However, the required service life suffers often from material damage as a result of wear processes such as abrasion and wear fatigue, mostly caused by crack formation and propagation. This book covers interdisciplinary research between physics, physical chemistry, material sciences and engineering of elastomers within the range from nanometres to millimetres and connects these aspects with the constitutive material properties. The different chapters describe reliable lifetime and durability predictions based on new fracture mechanical testing concepts and advanced material-theoretical methods which are finally implemented in the finite element method for structural simulations. The use of this approach allows a realistic description of complex geometrical and loading conditions which includes the peculiarities of the mechanical behaviour of elastomeric materials in detail. Furthermore, this approach demonstrates how multi-scale research concepts provide an ambitious interdisciplinary challenge at the interface between engineering and natural sciences. This book covers the interests of academic researchers, graduate students and professionals working in polymer science, rubber and tire technology and in materials science at the interface of academic and industrial research.
Fracture Mechanics
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Author : Nestor Perez
language : en
Publisher: Springer
Release Date : 2016-08-13
Fracture Mechanics written by Nestor Perez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-13 with Science categories.
The second edition of this textbook includes a refined presentation of concepts in each chapter, additional examples; new problems and sections, such as conformal mapping and mechanical behavior of wood; while retaining all the features of the original book. The material included in this book is based upon the development of analytical and numerical procedures pertinent to particular fields of linear elastic fracture mechanics (LEFM) and plastic fracture mechanics (PFM), including mixed-mode-loading interaction. The mathematical approach undertaken herein is coupled with a brief review of several fracture theories available in cited references, along with many color images and figures. Dynamic fracture mechanics is included through the field of fatigue and Charpy impact testing.