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Book Variational Approach to Fracture Mechanics with Plasticity

Download or read book Variational Approach to Fracture Mechanics with Plasticity written by Roberto Alessi and published by . This book was released on 2013 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Variational Approach to Fracture and Other Inelastic Phenomena

Download or read book A Variational Approach to Fracture and Other Inelastic Phenomena written by Gianpietro Del Piero and published by Springer Science & Business Media. This book was released on 2013-08-30 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 In the year and a half elapsed after the course, the material has been revised and enriched with new and partially unpublished results.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.

Book The Variational Approach to Fracture

Download or read book The Variational Approach to Fracture written by Blaise Bourdin and published by Springer Science & Business Media. This book was released on 2008-04-19 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.

Book Plasticity and Fracture

    Book Details:
  • Author : Wolfgang Brocks
  • Publisher : Springer
  • Release : 2017-08-16
  • ISBN : 331962752X
  • Pages : 189 pages

Download or read book Plasticity and Fracture written by Wolfgang Brocks and published by Springer. This book was released on 2017-08-16 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on 40 years of research and teaching in the fields of fracture mechanics and plasticity. It will bring students and engineers from various disciplines up to date on key concepts that have become increasingly important in the design of safety-relevant engineering structures in general and in modern lightweight structures in the transportation industry in particular. Primarily intended for graduate students in the engineering sciences and practicing structural engineers, it employs a multidisciplinary approach that comprises theoretical concepts, numerical methods, and experimental techniques. In addition, it includes a wealth of analytical and numerical examples, used to illustrate the applications of the concepts discussed.

Book Applications of the Variational Approach to Fracture Mechanics

Download or read book Applications of the Variational Approach to Fracture Mechanics written by Ataollah Mesgarnejad and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Thermomechanics of Plasticity and Fracture

Download or read book The Thermomechanics of Plasticity and Fracture written by Gérard A. Maugin and published by Cambridge University Press. This book was released on 1992-05-21 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates upon the mathematical theory of plasticity and fracture as opposed to the physical theory of these fields, presented in the thermomechanical framework.

Book Variational Methods in the Mechanics of Solids

Download or read book Variational Methods in the Mechanics of Solids written by S. Nemat-Nasser and published by Elsevier. This book was released on 2017-01-31 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.

Book The Mathematical Theory of Plasticity

Download or read book The Mathematical Theory of Plasticity written by Rodney Hill and published by Oxford University Press. This book was released on 1998 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1950, this important and classic book presents a mathematical theory of plastic materials, written by one of the leading exponents.

Book Analytical Fracture Mechanics

Download or read book Analytical Fracture Mechanics written by David J. Unger and published by Courier Corporation. This book was released on 2012-06-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."

Book Fracture Mechanics

    Book Details:
  • Author : Michael Janssen
  • Publisher : CRC Press
  • Release : 2004-08-02
  • ISBN : 1482265583
  • Pages : 378 pages

Download or read book Fracture Mechanics written by Michael Janssen and published by CRC Press. This book was released on 2004-08-02 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers both theoretical and practical aspects of fracture mechanics and integrates materials science with solid mechanics.

Book Plasticity

    Book Details:
  • Author : S. Nemat-Nasser
  • Publisher : Cambridge University Press
  • Release : 2004-11-29
  • ISBN : 9780521839792
  • Pages : 858 pages

Download or read book Plasticity written by S. Nemat-Nasser and published by Cambridge University Press. This book was released on 2004-11-29 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Book Fracture and Fatigue

Download or read book Fracture and Fatigue written by J. C. Radon and published by Elsevier. This book was released on 2017-01-31 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture and Fatigue: Elasto-Plasticity, Thin Sheet and Micromechanisms Problems covers the proceedings of the Third Colloquium on Fracture. The book discusses the development and applications of fracture mechanics. The contents of the text are organized according to the areas of concerns. The first part deals with elasto-plastic fracture mechanics, which includes topics such as fracture mechanics in the elastic-plastic regime and sizing of the geometry dependence and significance of maximum load toughness values. Part II covers the micromechanisms of fracture, which includes the aspects of crack growth under monotonic loading and the effect of secondary hardening on the fracture toughness of a bainitic microstructure. Part III concerns itself with thin sheet fracture mechanics, which includes R-curves evaluation for center-cracked panels and use of the R-curve for design with contained yield. The book will be of great interest to researchers and professionals whose work involves fracture mechanics.

Book Crystal Plasticity Finite Element Methods

Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

Book Fracture Mechanics

    Book Details:
  • Author : Satya N. Atluri
  • Publisher : ASTM International
  • Release : 1992
  • ISBN : 0803114400
  • Pages : 448 pages

Download or read book Fracture Mechanics written by Satya N. Atluri and published by ASTM International. This book was released on 1992 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers of the June 1990 meeting held in Atlanta, Ga. The first volume (47 papers) concentrates on experimental and theoretical aspects of fracture mechanics. Volume two (26 papers) covers numerical and computational approaches. Topics include: ductile fracture, high-temperature and time-dependent fr

Book Mechanics of Elastic plastic Fracture

Download or read book Mechanics of Elastic plastic Fracture written by Vladimir Zalmanovich Parton and published by Core/Mechanical. This book was released on 1989 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Practical Approach to Fracture Mechanics

Download or read book A Practical Approach to Fracture Mechanics written by Jorge Luis González-Velázquez and published by Elsevier. This book was released on 2020-10-08 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Practical Approach to Fracture Mechanics provides a concise overview on the fundamental concepts of fracture mechanics, discussing linear elastic fracture mechanics, fracture toughness, ductile fracture, slow crack propagation, structural integrity, and more. The book outlines analytical and experimental methods for determining the fracture resistance of mechanical and structural components, also demonstrating the use of fracture mechanics in failure analysis, reinforcement of cracked structures, and remaining life estimation. The characteristics of crack propagation induced by fatigue, stress-corrosion, creep, and absorbed hydrogen are also discussed. The book concludes with a chapter on the structural integrity analysis of cracked components alongside a real integrity assessment. This book will be especially useful for students in mechanical, civil, industrial, metallurgical, aeronautical and chemical engineering, and for professional engineers looking for a refresher on core principles. Concisely outlines the underlying fundamentals of fracture mechanics, making physical concepts clear and simple and providing easily-understood applied examples Includes solved problems of the most common calculations, along with step-by-step procedures to perform widely-used methods in fracture mechanics Demonstrates how to determine stress intensity factors and fracture toughness, estimate crack growth rate, calculate failure load, and other methods and techniques

Book Fracture Mechanics

Download or read book Fracture Mechanics written by Dominique P. Miannay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for engineers from a variety of disciplines dealing with structural materials, this text describes the current state of knowledge. It begins by describing the fracture process at the two extremes of scale: first in the context of atomic structures, then in terms of a continuous elastic medium. Treating the fracture process in increasingly sophisticated ways, the book then considers plastic corrections and the procedures for measuring the toughness of materials. Practical considerations are then discussed, including crack propagation, geometry dependence, flaw density, mechanisms of failure by cleavage, the ductile-brittle transition, and continuum damage mechanics. The whole is rounded off with discussions of generalised plasticity and the link between the microscopic and macroscopic aspects, and problems are provided at the end of each chapter.