Download or read book Continuum Models And Discrete Systems Proceedings Of The Eighth International Symposium written by Konstantin Z Markov and published by World Scientific. This book was released on 1996-01-15 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this symposium is to bring together scientists working on continuum theories of discrete mechanical and thermodynamical systems in the realm of mathematics, theoretical and applied mechanics, physics, material science and engineering. It aims to join together the divergent languages, questions and methods developed in the respective disciplines and to stimulate broad interdisciplinary exchange of ideas and results. The main topics, discussed in the lectures, concern thermodynamics, transport theory, statistical mechanics; continuum mechanics of complex fluids and deformable solids with microstructure; continuum theory of living structures; defect dynamics, synergetics, solitons, coherent structures; dislocations and plasticity; fundamentals of fracture mechanics.
Download or read book Discrete and Continuum Models for Complex Metamaterials written by Francesco dell'Isola and published by Cambridge University Press. This book was released on 2020-03-12 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Including a comprehensive bibliography and historical review of the field, and a pedagogical mathematical treatment, it is ideal for graduate students and researchers in mechanical and civil engineering, and materials science.
Download or read book Thermodynamic Approaches in Engineering Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2016-05-20 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamic Approaches in Engineering Systems responds to the need for a synthesizing volume that throws light upon the extensive field of thermodynamics from a chemical engineering perspective that applies basic ideas and key results from the field to chemical engineering problems. This book outlines and interprets the most valuable achievements in applied non-equilibrium thermodynamics obtained within the recent fifty years. It synthesizes nontrivial achievements of thermodynamics in important branches of chemical and biochemical engineering. Readers will gain an update on what has been achieved, what new research problems could be stated, and what kind of further studies should be developed within specialized research. - Presents clearly structured chapters beginning with an introduction, elaboration of the process, and results summarized in a conclusion - Written by a first-class expert in the field of advanced methods in thermodynamics - Provides a synthesis of recent thermodynamic developments in practical systems - Presents very elaborate literature discussions from the past fifty years
Download or read book Hysteresis and Phase Transitions written by Martin Brokate and published by Springer Science & Business Media. This book was released on 1996-06-20 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.
Download or read book Fatigue Mechanisms written by W. L. Morris and published by ASTM International. This book was released on 1983 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Developments in Micromechanics written by D.R. Axelrad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the lectures presented at the mini-symposium on "Micromechanics" held in conjunction with the CSME Mechanical Engineer ing Forum 1990 between the 3rd and 8th June, 1990 at the University of Toronto, Canada. The expressed purpose of this symposium was to discuss some recent developments in the Micromechanics of Materials and how ad vances in this field now relate to the solution of practical engineer ing problems. Due to the time limit set for this section of the Engineer ing Forum as well as the restriction on the number of papers to be pre sented, it was not possible to cover a much wider range of topics. How ever, an attempt was made to include the most important advances asso ciated with the progress made in micromechanics in its application to material science and engineering over the past decade. Thus, the topics are concerned with: the fundamental aspects of the thermodynamics of structured solids (part I), - the micromechanical behaviour of alloys (part II), - the modelling of the material behaviour on the basis of continuum theory (part III), and finally the important new approach to the characterization of various mate rials and their responses to external agencies by the use of proba bilistic micromechanics (part IV). We would like to take this opportunity to thank the Chairman of the Organizing Committee, Prof. F. P. J. Rimrott, and the President of the CSME, Prof. T. S.
Download or read book Modeling Damage Fatigue and Failure of Composite Materials written by Ramesh Talreja and published by Elsevier. This book was released on 2023-09-23 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Damage, Fatigue and Failure of Composite Materials, Second Edition provides the latest research in the field of composite materials, an area that has attracted a wealth of research, with significant interest in the areas of damage, fatigue, and failure. The book is fully updated, and is a comprehensive source of physics-based models for the analysis of progressive and critical failure phenomena in composite materials. It focuses on materials modeling while also reviewing treatments for analyzing failure in composite structures. Sections review damage development in composite materials such as generic damage and damage accumulation in textile composites and under multiaxial loading. Part Two focuses on the modeling of failure mechanisms in composite materials, with attention given to fiber/matrix cracking and debonding, compression failure, and delamination fracture. Final sections examine the modeling of damage and materials response in composite materials, including micro-level and multi-scale approaches, the failure analysis of composite materials and joints, and the applications of predictive failure models. - Provides a comprehensive source of physics-based models for the analysis of progressive and critical failure phenomena in composite materials - Assesses failure and life prediction in composite materials - Discusses the applications of predictive failure models such as computational approaches to failure analysis - Covers further developments in computational analyses and experimental techniques, along with new applications in aerospace, automotive, and energy (wind turbine blades) fields - Covers delamination and thermoplastic-based composites
Download or read book Thermomechanics of Continua written by Krzysztof Wilmanski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of continuum thermodynamics, adopted in this book, is primarily understood as a strategy for development of continuous models of various physical systems. The examples of such a strategy presented in the book have both the classical character (e. g. thermoelastic materials, viscous fluids, mixtures) and the extended one (ideal gases, Maxwellian fluids, thermoviscoelastic solids etc. ). The latter has been limited intentionally to non-relativistic models; many important relativistic applications of the true extended thermodynamics will not be considered but can be found in the other sources. The notion of extended thermodynamics is also adopted in a less strict sense than suggested by the founders. For instance, in some cases we allow the constitutive dependence not only on the fields themselves but also on some derivatives. In this way, the new thermodynamical models may have some features of the usual nonequilibrium models and some of those of the extended models. This deviation from the strategy of extended thermodynamics is motivated by practical aspects; frequently the technical considerations of extended thermodynamics are so involved that one can no longer see important physical properties of the systems. This book has a different form from that usually found in books on continuum mechanics and continuum thermodynamics. The presentation of the formal structure of continuum thermodynamics is not always as rigorous as a mathematician might anticipate and the choice of physical subjects is too disperse to make a physicist happy.
Download or read book Single Cell Based Models in Biology and Medicine written by Alexander Anderson and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.
Download or read book Nonlinear Evolution Equations That Change Type written by Barbara L. Keyfitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications NONLINEAR EVOLUTION EQUATIONS THAT CHANGE TYPE is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshop focussed on prob lems of ill-posedness and change of type which arise in modeling flows in porous materials, viscoelastic fluids and solids and phase changes. We thank the Coordinat ing Committee: James Glimm, Daniel Joseph, Barbara Lee Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing an exciting and stimulating year-long program. We especially thank the workshop organizers, Barbara Lee Keyfitz and Michael Shearer, for their efforts in bringing together many of the major figures in those research fields in which theories for nonlinear evolution equations that change type are being developed. A vner Friedman Willard Miller, J r. ix PREFACE During the winter and spring quarters of the 1988/89 IMA Program on Non linear Waves, the issue of change of type in nonlinear partial differential equations appeared frequently. Discussion began with the January 1989 workshop on Two Phase Waves in Fluidized Beds, Sedimentation and Granular Flow; some of the papers in the proceedings of that workshop present strategies designed to avoid the appearance of change of type in models for multiphase fluid flow.
Download or read book Groundwater in Fractured Rocks written by John M. Sharp and published by CRC Press. This book was released on 2007-07-05 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hydrogeologic environment of fractured rocks represents vital natural systems, examples of which occur on every continent. This book discusses key issues, methodologies and techniques in the hydrogeology of fractured rocks, summarizing recent progress and anticipating the outcome of future investigations. Forty-four revised and updated papers w
Download or read book Mathematical Models of Granular Matter written by Gianfranco Capriz and published by Springer Science & Business Media. This book was released on 2008-04-18 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.
Download or read book Continuum Scale Simulation of Engineering Materials written by Dierk Raabe and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 885 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book fills a gap by presenting our current knowledge and understanding of continuum-based concepts behind computational methods used for microstructure and process simulation of engineering materials above the atomic scale. The volume provides an excellent overview on the different methods, comparing the different methods in terms of their respective particular weaknesses and advantages. This trains readers to identify appropriate approaches to the new challenges that emerge every day in this exciting domain. Divided into three main parts, the first is a basic overview covering fundamental key methods in the field of continuum scale materials simulation. The second one then goes on to look at applications of these methods to the prediction of microstructures, dealing with explicit simulation examples, while the third part discusses example applications in the field of process simulation. By presenting a spectrum of different computational approaches to materials, the book aims to initiate the development of corresponding virtual laboratories in the industry in which these methods are exploited. As such, it addresses graduates and undergraduates, lecturers, materials scientists and engineers, physicists, biologists, chemists, mathematicians, and mechanical engineers.
Download or read book The Frenkel Kontorova Model written by Oleg M. Braun and published by Springer Science & Business Media. This book was released on 2004-01-09 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical physics deals with physical models. The main requirements for a good physical model are simplicity and universality. Universal models which can be applied to describe a variety of different phenomena are very rare in physics and, therefore, they are of key importance. Such models attract the special attention of researchers as they can be used to describe underlying physical concepts in a simple way. Such models appear again and again over the years and in various forms, thus extending their applicability and educa tional value. The simplest example of this kind is the model of a pendulum; this universal model serves as a paradigm which encompasses basic features of various physical systems, and appears in many problems of very different physical context. Solids are usually described by complex models with many degrees of freedom and, therefore, the corresponding microscopic equations are rather complicated. However, over the years a relatively simple model, known these days as the Prenkel-K ontorova model, has become one of the fundamental and universal tools of low-dimensional nonlinear physics; this model describes a chain of classical particles coupled to their neighbors and subjected to a pe riodic on-site potential.
Download or read book Computational Mathematics written by Robert E. White and published by CRC Press. This book was released on 2015-11-11 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI is a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requirin
Download or read book Stochastic Modeling of Microstructures written by Kazimierz Sobczyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.
Download or read book Granulation written by Agba D. Salman and published by Elsevier. This book was released on 2006-11-24 with total page 1403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Granulation provides a complete and comprehensive introduction on the state-of-the-art of granulation and how it can be applied both in an academic context and from an industrial perspective. Coupling science and engineering practices it covers differing length scales from the sub-granule level through behaviour through single granules, to bulk granule behaviour and equipment design. With special focus on a wide range of industrially relevant areas from fertilizer production, through to pharmaceuticals. Experimental data is complemented by mathematical modelling in this emerging field, allowing for a greater understanding of the basis of particle products and this important industry sector.Four themes run through the book: 1. The Macro Scale processing for Granulation – including up to date descriptions of the methods used for granulation and how they come about and how to monitor – on-line these changes.2. The Applications of granulation from an industrial perspective, with current descriptive roles and how they are undertaken with relevance to industry, and effective properties.3. Mechanistic descriptions of granulation and the different rate processes occurring within the granulator. This includes methods of modelling the process using Population – Balance Equations, and Multi-level Computational Fluid Dynamics Models.4. The Micro Scale: Granules and Smaller, looking at single granules and there interactions and modelling, while also considering the structure of granules and their constituent liquid bridges.* Covers a wide range of subjects and industrial applications* Provides an understanding of current issues for industrial and academic environments* Allows the reader an understanding of the science behind engineered granulation processes
