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Models and Phenomena in Fracture Mechanics

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Release : 2012-11-07
Genre : Technology & Engineering
Kind : eBook
Book Rating : 102/5 ( reviews)

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Book Synopsis Models and Phenomena in Fracture Mechanics by : Leonid I. Slepyan

Download or read book Models and Phenomena in Fracture Mechanics written by Leonid I. Slepyan. This book was released on 2012-11-07. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Release : 2013-08-30
Genre : Science
Kind : eBook
Book Rating : 262/5 ( reviews)

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Book Synopsis A Variational Approach to Fracture and Other Inelastic Phenomena by : Gianpietro Del Piero

Download or read book A Variational Approach to Fracture and Other Inelastic Phenomena written by Gianpietro Del Piero. This book was released on 2013-08-30. 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 In the year and a half elapsed after the course, the material has been revised and enriched with new and partially unpublished results.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.

Dynamic Fracture Mechanics

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Release : 1998-03-28
Genre : Mathematics
Kind : eBook
Book Rating : 225/5 ( reviews)

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Book Synopsis Dynamic Fracture Mechanics by : L. B. Freund

Download or read book Dynamic Fracture Mechanics written by L. B. Freund. This book was released on 1998-03-28. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the development and analysis of mathematical models of fracture phenomena.

Analytical Fracture Mechanics

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Release : 2012-06-08
Genre : Technology & Engineering
Kind : eBook
Book Rating : 856/5 ( reviews)

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Book Synopsis Analytical Fracture Mechanics by : David J. Unger

Download or read book Analytical Fracture Mechanics written by David J. Unger. This book was released on 2012-06-08. 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."

Mechanics of Fatigue

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Release : 2020-07-09
Genre : Science
Kind : eBook
Book Rating : 82X/5 ( reviews)

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Book Synopsis Mechanics of Fatigue by : Vladimir V. Bolotin

Download or read book Mechanics of Fatigue written by Vladimir V. Bolotin. This book was released on 2020-07-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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