Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 3642599389
Total Pages : 477 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids by : John M. Ball

Download or read book Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids written by John M. Ball and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A traditional way to honor distinguished scientists is to combine collections of papers solicited from friendly colleagues into dedicatory volumes. To honor our friend and colleague Mort Gurtin on the occasion of his sixty-fifth birthday, we followed a surer path to produce a work of intrinsic and lasting scientific value: We collected pa pers that we deemed seminal in the field of evolving phase interfaces in solids, a field to which Mort Gurtin himself has made fundamental contributions. Our failure for lack of space to include in this volume every paper of major significance is mitigated by the ma gisterial introduction prepared by Eliot Fried, which assesses the contributions of nu merous works. We hope that this collection will prove useful and stimulating to both researchers and students in this exciting field. August 1998 JohnM. Ball David Kinderlehrer Paulo Podio-Guidugli Marshall Slemrod Contents Introduction: Fifty Years of Research on Evolving Phase Interfaces By Eliot Fried. 0 •••••••••••••••••••••••••••••••••••••••••••••••• 0 ••••• 1 I. Papers on Materials Science Surface Tension as a Motivation for Sintering By C. Herring 33 Two-Dimensional Motion of Idealized Grain Boundaries By W. W. Mullins 0 ••••••••••• 0 ••••••••••••••••••• 70 Morphological. Stability of a Particle Growing by Diffusion or Heat Flow By w. w. Mullins and R. F. Sekerka 75 Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics By J. D. Eshelby 82 The Interactions of Composition and Stress in Crystalline Solids By F. e. Larche and 1. W. Cahn 120 II.

Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites

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Publisher : Woodhead Publishing
ISBN 13 : 0128189851
Total Pages : 766 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites by : Wim Van Paepegem

Download or read book Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites written by Wim Van Paepegem and published by Woodhead Publishing. This book was released on 2020-11-25 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-scale modelling of composites is a very relevant topic in composites science. This is illustrated by the numerous sessions in the recent European and International Conferences on Composite Materials, but also by the fast developments in multi-scale modelling software tools, developed by large industrial players such as Siemens (Virtual Material Characterization toolkit and MultiMechanics virtual testing software), MSC/e-Xstream (Digimat software), Simulia (micromechanics plug-in in Abaqus), HyperSizer (Multi-scale design of composites), Altair (Altair Multiscale Designer) This book is intended to be an ideal reference on the latest advances in multi-scale modelling of fibre-reinforced polymer composites, that is accessible for both (young) researchers and end users of modelling software. We target three main groups: This book aims at a complete introduction and overview of the state-of-the-art in multi-scale modelling of composites in three axes: • ranging from prediction of homogenized elastic properties to nonlinear material behaviour • ranging from geometrical models for random packing of unidirectional fibres over meso-scale geometries for textile composites to orientation tensors for short fibre composites • ranging from damage modelling of unidirectionally reinforced composites over textile composites to short fibre-reinforced composites The book covers the three most important scales in multi-scale modelling of composites: (i) micro-scale, (ii) meso-scale and (iii) macro-scale. The nano-scale and related atomistic and molecular modelling approaches are deliberately excluded, since the book wants to focus on continuum mechanics and there are already a lot of dedicated books about polymer nanocomposites. A strong focus is put on physics-based damage modelling, in the sense that the chapters devote attention to modelling the different damage mechanisms (matrix cracking, fibre/matrix debonding, delamination, fibre fracture,...) in such a way that the underlying physics of the initiation and growth of these damage modes is respected. The book also gives room to not only discuss the finite element based approaches for multi-scale modelling, but also much faster methods that are popular in industrial software, such as Mean Field Homogenization methods (based on Mori-Tanaka and Eshelby solutions) and variational methods (shear lag theory and more advanced theories). Since the book targets a wide audience, the focus is put on the most common numerical approaches that are used in multi-scale modelling. Very specialized numerical methods like peridynamics modelling, Material Point Method, eXtended Finite Element Method (XFEM), isogeometric analysis, SPH (Smoothed Particle Hydrodynamics),... are excluded. Outline of the book The book is divided in three large parts, well balanced with each a similar number of chapters:

The Classical Stefan Problem

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Publisher : Elsevier
ISBN 13 : 0444635823
Total Pages : 752 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis The Classical Stefan Problem by : S.C. Gupta

Download or read book The Classical Stefan Problem written by S.C. Gupta and published by Elsevier. This book was released on 2017-07-27 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides the fundamental theory, concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems with phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics, and functional analysis, and is thoroughly enriched with many appropriate references for in-depth background reading on theorems. Each chapter in this fully revised and updated edition begins with basic concepts and objectives, also including direction on how the subject matter was developed. It contains more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems.The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems. Provides both the phenomenology and mathematics of Stefan problems Bridges physics and mathematics in a concrete and readable manner Presents well-organized chapters that start with proper definitions followed by explanations and references for further reading Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems

Advanced Computational Methods in Mechanical and Materials Engineering

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Publisher : CRC Press
ISBN 13 : 1000483029
Total Pages : 343 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Advanced Computational Methods in Mechanical and Materials Engineering by : Ashwani Kumar

Download or read book Advanced Computational Methods in Mechanical and Materials Engineering written by Ashwani Kumar and published by CRC Press. This book was released on 2021-11-23 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides in-depth knowledge to solve engineering, geometrical, mathematical, and scientific problems with the help of advanced computational methods with a focus on mechanical and materials engineering. Divided into three subsections covering design and fluids, thermal engineering and materials engineering, each chapter includes exhaustive literature review along with thorough analysis and future research scope. Major topics covered pertains to computational fluid dynamics, mechanical performance, design, and fabrication including wide range of applications in industries as automotive, aviation, electronics, nuclear and so forth. Covers computational methods in design and fluid dynamics with a focus on computational fluid dynamics Explains advanced material applications and manufacturing in labs using novel alloys and introduces properties in material Discusses fabrication of graphene reinforced magnesium metal matrix for orthopedic applications Illustrates simulation and optimization gear transmission, heat sink and heat exchangers application Provides unique problem-solution approach including solutions, methodology, experimental setup, and results validation This book is aimed at researchers, graduate students in mechanical engineering, computer fluid dynamics,fluid mechanics, computer modeling, machine parts, and mechatronics.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 764 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multi-Scale Phenomena in Complex Fluids

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Publisher : World Scientific
ISBN 13 : 9814273260
Total Pages : 379 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Multi-Scale Phenomena in Complex Fluids by : Thomas Y. Hou

Download or read book Multi-Scale Phenomena in Complex Fluids written by Thomas Y. Hou and published by World Scientific. This book was released on 2009 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of mini-courses from OC Shanghai Summer School on Analysis and Numerics in Modern SciencesOCO, which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids."

New Achievements in Mechanics

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Publisher : Springer Nature
ISBN 13 : 3031561325
Total Pages : 457 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis New Achievements in Mechanics by : Wolfgang H. Müller

Download or read book New Achievements in Mechanics written by Wolfgang H. Müller and published by Springer Nature. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multi-Scale Phenomena in Complex Fluids

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Publisher :
ISBN 13 : 9814467952
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Multi-Scale Phenomena in Complex Fluids by :

Download or read book Multi-Scale Phenomena in Complex Fluids written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolution of Phase Transitions

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Publisher :
ISBN 13 : 9780511168499
Total Pages : 242 pages
Book Rating : 4.1/5 (684 download)

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Book Synopsis Evolution of Phase Transitions by : Rohan Abeyaratne

Download or read book Evolution of Phase Transitions written by Rohan Abeyaratne and published by . This book was released on 2006 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an essential work to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases.

Mechanics and Physics of Solids at Micro- and Nano-Scales

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Publisher : John Wiley & Sons
ISBN 13 : 1119687543
Total Pages : 243 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Mechanics and Physics of Solids at Micro- and Nano-Scales by : Ioan R. Ionescu

Download or read book Mechanics and Physics of Solids at Micro- and Nano-Scales written by Ioan R. Ionescu and published by John Wiley & Sons. This book was released on 2019-12-19 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chronicling the 11th US France Mechanics and physics of solids at macro- and nano-scales symposium, organized by ICACM (International Center for Applied Computational Mechanics) in Paris, June 2018, this book addresses the breadth of issues raised. It covers a comprehensive range of scientific and technological topics (from elementary plastic events in metals and materials in harsh environments to bio-engineered and bio-mimicking materials), offering a representative perspective on state-of-the-art research and materials. Expounding on the issues related to mesoscale modeling, the first part of the book addresses the representation of plastic deformation at both extremes of the scale between nano- and macro- levels. The second half of the book examines the mechanics and physics of soft materials, polymers and materials made from fibers or molecular networks.

Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity

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Publisher : World Scientific
ISBN 13 : 9814518956
Total Pages : 208 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity by : Attila Askar

Download or read book Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity written by Attila Askar and published by World Scientific. This book was released on 1986-07-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a discussion of lattice dynamics for perfect and imperfect lattices and their relation to continuum theories of elasticity, piezoelectricity, viscoelasticity and plasticity. Some of the material is rather classical and close in spirit to solid state physics. A major aim here is to present a coherent theory for the four basic behavior types in the style of continuum mechanics. In each case, emphasis is on an explicit display of the physical mechanisms involved rather than general formalisms. The material is presented in terms of an atomistic picture for the discrete system. The basic ideas are believed to be relevant also at an intermediate scale in the continuum description of media with structure such as granular materials and composites.

Moving Interfaces in Crystalline Solids

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Publisher : Springer
ISBN 13 : 9783211238998
Total Pages : 256 pages
Book Rating : 4.2/5 (389 download)

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Book Synopsis Moving Interfaces in Crystalline Solids by : Franz D. Fischer

Download or read book Moving Interfaces in Crystalline Solids written by Franz D. Fischer and published by Springer. This book was released on 2005-01-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moving Interfaces in Solids are typically phase boundaries and grain or subgrain boundaries. Continuum thermodynamics and continuum mechanics are applied to explain the motion process. Related numerical and experimental concepts are dealt with. Experts from material physics and mechanics bridge the gap between these fields. The reader is offered a common view of interface mtion in a unique representation. Examples are presented for various material systems.

Discrete and Continuous Dynamical Systems

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Publisher :
ISBN 13 :
Total Pages : 814 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discrete and Continuous Dynamical Systems by :

Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2008 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cumulated Index to the Books

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Publisher :
ISBN 13 :
Total Pages : 1124 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Cumulated Index to the Books by :

Download or read book Cumulated Index to the Books written by and published by . This book was released on 1999 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

50+ Years of AIMETA

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Publisher : Springer Nature
ISBN 13 : 3030941957
Total Pages : 505 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis 50+ Years of AIMETA by : Giuseppe Rega

Download or read book 50+ Years of AIMETA written by Giuseppe Rega and published by Springer Nature. This book was released on 2022-06-04 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book retraces the history of the Italian Association of Theoretical and Applied Mechanics (AIMETA) since its establishment in 1965. AIMETA is the official Italian association of mechanics adhering to IUTAM (International Union of Theoretical and Applied Mechanics), which organizes and coordinates a meaningful number of research activities, the most important of which are the biennial National Congress and the internationally renowned journal “Meccanica”, published by Springer. Besides collecting and organizing all related important data and information, as far as possible, by distinguishing among the five scientific areas – general mechanics, solids, structures, fluids, machines – encompassed by AIMETA, the history of the association is assumed as a proper perspective to overview the evolution of theoretical and applied mechanics in Italy over about the last fifty years. This is accomplished in the first part of the book. with also a specific focus on the mechanics of solids and structures, where the biographies of a meaningful number of recognized Italian scholars of mechanics in all areas are also provided, along with testimonials and memories by a few senior people meaningfully involved with AIMETA and Italian mechanics. The second part gives an account, although unavoidably incomplete, of recent developments of mechanical sciences in Italy, as reflected also in the activities of AIMETA and with reference to the international context. Contributions by a number of invited senior scholars, still very active, consist of overviews on some scientific themes in the various areas, summaries of achievements of research groups, expressions of research viewpoints, prospects for future developments.

Evolution of Phase Transitions

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Publisher : Cambridge University Press
ISBN 13 : 9781139449243
Total Pages : 272 pages
Book Rating : 4.4/5 (492 download)

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Book Synopsis Evolution of Phase Transitions by : Rohan Abeyaratne

Download or read book Evolution of Phase Transitions written by Rohan Abeyaratne and published by Cambridge University Press. This book was released on 2006-05-08 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.

American Book Publishing Record

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Publisher :
ISBN 13 :
Total Pages : 1476 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis American Book Publishing Record by :

Download or read book American Book Publishing Record written by and published by . This book was released on 1999 with total page 1476 pages. Available in PDF, EPUB and Kindle. Book excerpt: