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Author : Morton E Gurtin,Geoffrey B McFadden
Publisher : Unknown
Page : 156 pages
File Size : 51,5 Mb
Release : 1992-04-16
Category : Electronic
ISBN : 1461392128
Author : Morton E. Gurtin,Geoffrey B. McFadden
Publisher : Unknown
Page : 160 pages
File Size : 52,7 Mb
Release : 1992
Category : Mathematics
ISBN : UOM:39015021523223
Author : Morton E. Gurtin,Geoffrey B. McFadden
Publisher : Springer Science & Business Media
Page : 144 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461392118
This IMA Volume in Mathematics and its Applications ON THE EVOLUTION OF PHASE BOUNDARIES is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries". The purpose of the workshop was to bring together mathematicians and other scientists working on the Stefan problem and related theories for modeling physical phenomena that occurs in two phase systems. We thank M.E. Gurtin and G. McFadden for editing the proceedings. We also take this opportunity to thank the National Science Foundation, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE A primary goal of the IMA workshop on the Evolution of Phase Boundaries from September 17-21, 1990 was to emphasize the interdisciplinary nature of contempo rary research in this field, research which combines ideas from nonlinear partial dif ferential equations, asymptotic analysis, numerical computation, and experimental science. The workshop brought together researchers from several disciplines, includ ing mathematics, physics, and both experimental and theoretical materials science.
Author : Rohan Abeyaratne,James K. Knowles
Publisher : Cambridge University Press
Page : 272 pages
File Size : 47,7 Mb
Release : 2006-05-08
Category : Science
ISBN : 1139449249
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.
Author : Irena Pawłow
Publisher : Unknown
Page : 236 pages
File Size : 45,9 Mb
Release : 1987
Category : Boundary value problems
ISBN : UCAL:B4128732
Author : David G. Green,Jing Liu,Hussein A. Abbass
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 52,7 Mb
Release : 2013-11-12
Category : Technology & Engineering
ISBN : 9781441984234
The aim of the book is to lay out the foundations and provide a detailed treatment of the subject. It will focus on two main elements in dual phase evolution: the relationship between dual phase evolution and other phase transition phenomena and the advantages of dual phase evolution in evolutionary computation and complex adaptive systems. The book will provide a coherent picture of dual phase evolution that encompasses these two elements and frameworks, methods and techniques to use this concept for problem solving.
Author : Theodore R. Johnstone, M.D.
Publisher : Trafford Publishing
Page : 205 pages
File Size : 41,8 Mb
Release : 2014-08-30
Category : Science
ISBN : 9781490745664
Boundaries of Evolution describes the unlikelihood of evolutionary theory to explain how it is supposed to scale three major biological cliffs. The first cliff is the need for a logical explanation of how random chemical reactions could produce the first living cell from the primordial soup. The second is the problem of explaining how the first single-celled eukaryote evolved from a prokaryote. Mathematical improbabilities of evolutionary theory to scale the first two cliffs, in the time available, are demonstrated. The third insurmountable cliff is the necessity for a reasonable explanation of how millions of different kinds of multi-celled eukaryotes could have quickly evolved from single-celled eukaryotes. Random mutations occurring in DNA, accepted or rejected by natural selection, are hailed as the source of advancement for the increase in biotic complexity. The most common time for mutations to occur in the DNA is during replication. Therefore, evolutionary advancement should occur faster in biota with the most frequent replication cycles. If both evolutionary theory and the fossil record are correct, prokaryotes, which replicate in as little as 20 minutes took 2 billion years to evolve the first single-celled eukaryote. Single-celled eukaryotes, generally having shorter reproductive times than multi-celled eukaryotes, took another billion years to evolve the first multi-celled eukaryote. Then during Cambrian times, the multi-celled eukaryotes with the longest reproductive cycles literally exploded in diversity in a comparatively short time. How could this be? Other inadequacies of Darwin's theory are presented for everyone to see.
Author : Michael J. Ruf
Publisher : BoD – Books on Demand
Page : 193 pages
File Size : 47,9 Mb
Release : 2018-12-14
Category : Science
ISBN : 9783868881332
Thanks to new, improving experimental techniques, modern biology is discovering a steadily growing body of new facts and data about the living nature. A good example of this advancement is the decryption of the complete genome of a rapidly increasing number of organisms, including humans. Regardless of these impressive results, however, there are still no satisfying answers to very basic questions of biology, such as "What is life?" and "Why does matter organize into biological forms that become more complex in the course of evolution?". The Interaction Theory by Michael J. Ruf assumes that this unsatisfying situation is not simply the consequence that certain experimental data are still missing. The lack of explanation of what life is actually and why simple molecules evolve into complex organisms rather reflects an existing conceptual problem that can only be solved with a radically new conceptual approach. Interaction Theory is the result of such a radically new approach to life and evolution. In contrast to conventional evolutionary theory, the generation sequences of living forms are considered to be the decisive quality of life. By clarifying how the continuation of these generation sequences can be sustainable over billions of years, new fundamental principles become obvious and the phenomenon of an increasing biological complexity understandable. As a result, a law-like process of biological complexity increase can be derived as immanent part of the evolution of life. This allows Interaction Theory to provide new answers to key questions such as why sexual reproduction, what species are and what life is. The theory is, however, not limited to cells and organisms and their evolution. It addresses the self-organization to higher complexity of all kinds of structures that are subject to an evolution through multiplication processes. This means that Interaction Theory also provides an understanding of why and how molecular networks, social communities and even societies become more complex over time.
Author : Andrea Bonito,Ricardo Horacio Nochetto
Publisher : Elsevier
Page : 572 pages
File Size : 52,9 Mb
Release : 2021-01-26
Category : Mathematics
ISBN : 9780444643063
Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs
Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer
Page : 329 pages
File Size : 55,8 Mb
Release : 2014-10-01
Category : Science
ISBN : 9783662441336
The continuous evolution and development of experimental techniques is at the basis of any fundamental achievement in modern physics. Strongly correlated systems (SCS), more than any other, need to be investigated through the greatest variety of experimental techniques in order to unveil and crosscheck the numerous and puzzling anomalous behaviors characterizing them. The study of SCS fostered the improvement of many old experimental techniques, but also the advent of many new ones just invented in order to analyze the complex behaviors of these systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. The volume presents a representative collection of the modern experimental techniques specifically tailored for the analysis of strongly correlated systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for any other researcher in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.
Author : Dierk Raabe,Franz Roters,Frédéric Barlat,Long-Qing Chen
Publisher : John Wiley & Sons
Page : 904 pages
File Size : 41,8 Mb
Release : 2004-08-06
Category : Technology & Engineering
ISBN : 3527307605
Die Simulation von Materialien gehört zu den interessantesten neuen Forschungsgebieten der Ingenieurwissenschaften. Dieser Band spricht alle wichtigen Aspekte des Themas an, von den mathematischen Grundlagen der Simulation über Anwendungen beim Design von Mikrostrukturen bis zur computergestützten Werkstoffauswahl und -entwicklung. Doktoranden und Praktiker aus Materialwissenschaft und Technik lernen, aus den existierenden Simulationsmethoden den für ihr Problem am besten geeigneten Ansatz auszuwählen.
Author : Pierluigi Colli,Claudio Verdi,Augusto Visintin
Publisher : Birkhäuser
Page : 342 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878937
Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
Author : Tobias Gleim ,Stephan Lange
Publisher : kassel university press GmbH
Page : 493 pages
File Size : 46,6 Mb
Release : 2019-09-04
Category : Technology & Engineering
ISBN : 9783737650939
This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.
Author : Pierluigi Colli,Nobuyuki Kenmochi,J. Sprekels
Publisher : World Scientific
Page : 321 pages
File Size : 53,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812566508
Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid-liquid system, evaporation, solid-solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic materials, glass formation, phase transitions in polymers, and plasticity.The practical interest of such phenomenology is evident and has deeply influenced the technological development of our society, stimulating intense mathematical research in this area.This book analyzes and approximates some models and related partial differential equation problems that involve phase transitions in different contexts and include dissipation effects.
Author : S.H. Davis,H.E. Huppert,U. Müller,M.G. Worster
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401128094
The phase transformation from liquid to solid is a phenomenon central to a wide range of manufacturing and natural processes. The presence of phase transformation can drive convection in the melt through the liberation of latent heat, the rejection of solute, and the change of density upon freezing. The fluid mechanics itself can playa central role; the phase transformation can be strongly altered by convective transport in the liquid through the modification of the thermal and solutal environment of the solid-liquid interface; these local fields control the freezing characteristics at the interface. The convection can be generated naturally by buoyancy forces arising from gradients of temperature and concentration in the liquid, by density changes upon freezing, and by thermocapillary and solutocapillary forces on liquid-solid interfaces. The interactive coupling between solidification and convection forms the subject of this volume. Such coupled processes are significant on a large range of scales. Among the applications of interest are the manufacture of single crystals, the processing of surfaces using laser or molecular beams, and the processes of soldering and welding. One wants to understand and predict macrosegregation in castings, transport and fractionation in geological and geophysical systems, and heat accumulation in energy redistribution and storage systems. This volume contains papers presented at the NATO Advanced Research Workshop on "Interactive Dynamics of Convection and Solidification" held in Chamonix, France, March 8-13, 1992.
