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Models And Phenomena In Fracture Mechanics


Models And Phenomena In Fracture Mechanics
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Models And Phenomena In Fracture Mechanics


Models And Phenomena In Fracture Mechanics
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Author : Leonid I. Slepyan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-07

Models And Phenomena In Fracture Mechanics written by Leonid I. Slepyan 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 2012-11-07 with Technology & Engineering categories.


Presenting the most important results, methods, and open questions, this book describes and compares advanced models in fracture mechanics. The author introduces the required mathematical technique, mainly the theory of analytical functions, from scratch.



A Variational Approach To Fracture And Other Inelastic Phenomena


A Variational Approach To Fracture And Other Inelastic Phenomena
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Author : Gianpietro Del Piero
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-30

A Variational Approach To Fracture And Other Inelastic Phenomena written by Gianpietro Del Piero 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 2013-08-30 with Science categories.


This book exposes a number of mathematical models for fracture of growing difficulty. All models are treated in a unified way, based on incremental energy minimization. They differ from each other by the assumptions made on the inelastic part of the total energy, here called the "cohesive energy". Each model describes a specific aspect of material response, and particular care is devoted to underline the correspondence of each model to the experiments. The content of the book is a re-elaboration of the lectures delivered at the First Sperlonga Summer School on Mechanics and Engineering Sciences in September 2011. In the year and a half elapsed after the course, the material has been revised and enriched with new and partially unpublished results. Significant additions have been introduced in the occasion of the course "The variational approach to fracture and other inelastic phenomena", delivered at SISSA, Trieste, in March 2013. The Notes reflect a research line carried on by the writer over the years, addressed to a comprehensive description of the many aspects of the phenomenon of fracture, and to its relations with other phenomena, such as the formation of microstructure and the changes in the material’s strength induced by plasticity and damage. Reprinted from the Journal of Elasticity, volume 112, issue 1, 2013.



Dynamic Fracture Mechanics


Dynamic Fracture Mechanics
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Author : L. B. Freund
language : en
Publisher: Cambridge University Press
Release Date : 1998-03-28

Dynamic Fracture Mechanics written by L. B. Freund 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 1998-03-28 with Mathematics categories.


This volume focuses on the development and analysis of mathematical models of fracture phenomena.



Fatigue Crack Growth In Rubber Materials


Fatigue Crack Growth In Rubber Materials
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Author : Gert Heinrich
language : en
Publisher: Springer Nature
Release Date : 2021-03-23

Fatigue Crack Growth In Rubber Materials written by Gert Heinrich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Technology & Engineering categories.


The book summarizes recent international research and experimental developments regarding fatigue crack growth investigations of rubber materials. It shows the progress in fundamental as well as advanced research of fracture investigation of rubber material under fatigue loading conditions, especially from the experimental point of view. However, some chapters will describe the progress in numerical modeling and physical description of fracture mechanics and cavitation phenomena in rubbers. Initiation and propagation of cracks in rubber materials are dominant phenomena which determine the lifetime of these soft rubber materials and, as a consequence, the lifetime of the corresponding final rubber parts in various fields of application. Recently, these phenomena became of great scientific interest due to the development of new experimental methods, concepts and models. Furthermore, crack phenomena have an extraordinary impact on rubber wear and abrasion of automotive tires; and understanding of crack initiation and growth in rubbers will help to support the growthing number of activities and worldwide efforts of reduction of tire wear losses and abrasion based emissions.



Analytical Fracture Mechanics


Analytical Fracture Mechanics
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Author : David J. Unger
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08

Analytical Fracture Mechanics written by David J. Unger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Technology & Engineering categories.


"Analytical Fracture Mechanics should prove to be a valuable resource to both the new student and the experienced researcher in fracture mechanics. It is recommended." — Applied Mechanics Review One of the central concerns of engineering is the failure of materials. Addressing this concern, fracture mechanics — an interdisciplinary subject spanning mechanical, civil, and materials engineering, applied mathematics, and physics — predicts the conditions under which such failure will occur due to crack growth. This valuable self-contained text by an expert in the field supplements standard fracture mechanics texts by focusing on analytical methods for determining crack-tip stress and strain fields. Following a comprehensive 120-page introduction — which provides all the background necessary for understanding the remaining chapters — the book is organized around a series of elastoplastic and hydrogen-assisted crack-tip problems and their solutions. The first chapter presents the only proven solution technique for the second order nonlinear partial differential equation governing a mode I elastoplastic crack problem. Other chapters deal with plastic zone transitions, environmental cracking, and small-scale yielding versus exact linear elastic solutions. One of the excellent features of this book is the clarity with which groups of problems are presented and related to each other. Another is the careful attention it gives to the various modes of fracture (I, II, and III) and to showing the circumstances under which information from a solution for one mode may be used to infer information in another mode. For this edition, the author has added a new appendix, "Stress Across an Elastoplastic Boundary of a Mode I Crack: Parabolic to Hyperbolic Plasticity Transition."



Mechanics Of Fatigue


Mechanics Of Fatigue
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Author : Vladimir V. Bolotin
language : en
Publisher: CRC Press
Release Date : 2020-07-09

Mechanics Of Fatigue written by Vladimir V. Bolotin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-09 with Science categories.


Mechanics of Fatigue addresses the range of topics concerning damage, fatigue, and fracture of engineering materials and structures. The core of this resource builds upon the synthesis of micro- and macro-mechanics of fracture. In micromechanics, both the modeling of mechanical phenomena on the level of material structure and the continuous approach are based on the use of certain internal field parameters characterizing the dispersed micro-damage. This is referred to as continuum damage mechanics. The author develops his own theory for macromechanics, called analytical fracture mechanics. This term means the system cracked body - loading or loading device - is considered as a mechanical system and the tools of analytical (rational) mechanics are applied thoroughly to describe crack propagation until the final failure. Chapter discuss: preliminary information on fatigue and engineering methods for design of machines and structures against failures caused by fatigue fatigue crack nucleation, including microstructural and continuous models theory of fatigue crack propagation fatigue crack growth in linear elastic materials subject to dispersed damage fatigue cracks in elasto-plastic material, including crack growth retardation due to overloading as well as quasistationary approximation fatigue and related phenomena in hereditary solids application of the theory fatigue crack growth considering environmental factors unidirectional fiber composites with ductile matrix and brittle, initially continuous fibers laminate composites Mechanics of Fatigue serves students dealing with mechanical aspects of fatigue, conducting research in fracture mechanics, structural safety, mechanics of composites, as well as modern branches of mechanics of solids and structures.



Fracture Mechanics


Fracture Mechanics
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Author : Alan T. Zehnder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05

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 2012-01-05 with Technology & Engineering 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.



Damage Mechanics And Micromechanics Of Localized Fracture Phenomena In Inelastic Solids


Damage Mechanics And Micromechanics Of Localized Fracture Phenomena In Inelastic Solids
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Author : George Z Voyiadjis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-29

Damage Mechanics And Micromechanics Of Localized Fracture Phenomena In Inelastic Solids written by George Z Voyiadjis 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 2012-01-29 with Technology & Engineering categories.


This book resulted from a series of lecture notes presented in CISM, Udine in July 7 -11, 2008. The papers inform about recent advances in continuum damage mechanics for both metals and metal matrix composites as well as the micromechanics of localization in inelastic solids. Also many of the different constitutive damage models that have recently appeared in the literature and the different approaches to this topic are presented, making them easily accessible to researchers and graduate students in civil engineering, mechanical engineering, engineering mechanics, aerospace engineering, and material science.



Methods Of Fracture Mechanics Solid Matter Physics


Methods Of Fracture Mechanics Solid Matter Physics
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Author : G.P. Cherepanov
language : en
Publisher: Springer
Release Date : 2013-01-22

Methods Of Fracture Mechanics Solid Matter Physics written by G.P. Cherepanov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-22 with Science categories.


Modern fracture mechanics considers phenomena at many levels, macro and micro; it is therefore inextricably linked to methods of theoretical and mathematical physics. This book introduces these sophisticated methods in a straightforward manner. The methods are applied to several important phenomena of solid state physics which impinge on fracture mechanics: adhesion, defect nucleation and growth, dislocation emission, sintering, the electron beam effect and fractal cracks. The book shows how the mathematical models for such processes may be set up, and how the equations so formulated may be solved and interpreted. The many open problems which are encountered will provide topics for MSc and PhD theses in fracture mechanics, and in theoretical and experimental physics. As a supplementary text, the book can be used in graduate level courses on fracture mechanics, solid matter physics, and mechanics of solids, or in a special course on the application of fracture mechanics methods in solid matter physics.



Statistical Physics Of Fracture Breakdown And Earthquake


Statistical Physics Of Fracture Breakdown And Earthquake
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Author : Soumyajyoti Biswas
language : en
Publisher: John Wiley & Sons
Release Date : 2015-08-10

Statistical Physics Of Fracture Breakdown And Earthquake written by Soumyajyoti Biswas 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 2015-08-10 with Science categories.


In this book, the authors bring together basic ideas from fracture mechanics and statistical physics, classical theories, simulation and experimental results to make the statistical physics aspects of fracture more accessible. They explain fracture-like phenomena, highlighting the role of disorder and heterogeneity from a statistical physical viewpoint. The role of defects is discussed in brittle and ductile fracture, ductile to brittle transition, fracture dynamics, failure processes with tension as well as compression: experiments, failure of electrical networks, self-organized critical models of earthquake and their extensions to capture the physics of earthquake dynamics. The text also includes a discussion of dynamical transitions in fracture propagation in theory and experiments, as well as an outline of analytical results in fiber bundle model dynamics With its wide scope, in addition to the statistical physics community, the material here is equally accessible to engineers, earth scientists, mechanical engineers, and material scientists. It also serves as a textbook for graduate students and researchers in physics.