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Variational Methods For Crystalline Microstructure Analysis And Computation


Variational Methods For Crystalline Microstructure Analysis And Computation
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Variational Methods For Crystalline Microstructure Analysis And Computation


Variational Methods For Crystalline Microstructure Analysis And Computation
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Author : Georg Dolzmann
language : en
Publisher: Springer
Release Date : 2004-10-23

Variational Methods For Crystalline Microstructure Analysis And Computation written by Georg Dolzmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-23 with Mathematics categories.


Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.



Variational Methods For Crystalline Microstructure Analysis And Computation


Variational Methods For Crystalline Microstructure Analysis And Computation
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Author : Georg Dolzmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-01-31

Variational Methods For Crystalline Microstructure Analysis And Computation written by Georg Dolzmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-31 with Mathematics categories.


Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.



Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media


Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media
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Author : B. Daya Reddy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-24

Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media written by B. Daya Reddy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-24 with Technology & Engineering categories.


This work comprises papers based on some of the talks presented at the IUTAM Symposium of the same name, held in Cape Town, January 14-18, 2008. This volume treats cutting-edge issues in modelling, the behaviour of various classes of inelastic media, and associated algorithms for carrying out computational simulations. A key feature of the contributions are works directed at modelling behaviour at the meso and micro-scales, and at bridging the micro-macro scales.



Theory And Numerics Of Differential Equations


Theory And Numerics Of Differential Equations
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Author : James Blowey
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Theory And Numerics Of Differential Equations written by James Blowey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


The Ninth EPSRC Numerical Analysis Summer School was held at the Uni versity of Durharn, UK, from the 10th to the 21st of July 2000. This was the first of these schools to be held in Durharn, having previously been hosted, initially by the University of Lancaster and latterly by the University of Leicester. The purpose of the summer school was to present high quality in structional courses on topics at the forefront of numerical analysis research to postgraduate students. Eminent figures in numerical analysis presented lectures and provided high quality lecture notes. At the time of writing it is now more than two years since we first con tacted the guest speakers and during that period they have given significant portions of their time to making the summer school, and this volume, a suc cess. We would like to thank all six of them for the care which they took in the preparation and delivery of their lectures. The speakers were Christine Bernardi, Petter Bj0rstad, Carsten Carstensen, Peter Kloeden, Ralf Kornhu ber and Anders Szepessy. This volume presents written contributions from five of the six speakers. In all cases except one, these contributions are more comprehensive versions of the lecture not es which were distributed to participants during the meeting. Peter Kloeden's contribution is intended to be complementary to his lecture course and numerous references are given therein to sources of the lecture material.



Analysis Modeling And Simulation Of Multiscale Problems


Analysis Modeling And Simulation Of Multiscale Problems
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Author : Alexander Mielke
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-14

Analysis Modeling And Simulation Of Multiscale Problems written by Alexander Mielke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-14 with Mathematics categories.


This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.



Microstructure Of Martensite


Microstructure Of Martensite
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Author : Kaushik Bhattacharya
language : en
Publisher: Oxford University Press
Release Date : 2003-11-06

Microstructure Of Martensite written by Kaushik Bhattacharya and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-06 with Computers categories.


The science of materials (metallurgy) tells us that every material contains microscopic features that vary at different length scales. This underlying microstructure determines the mechanical properties of the material. This book presents the particularly dramatic and compelling case of shape-memory alloys, technologically important materials, beautifully explaining the link between microstructure and macroscopic properties. A sample wire of shape memory material is included with the book.



Mathematical Models Of Granular Matter


Mathematical Models Of Granular Matter
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Author : Gianfranco Capriz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-18

Mathematical Models Of Granular Matter written by Gianfranco Capriz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-18 with Technology & Engineering categories.


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.



Inverse Problems And Imaging


Inverse Problems And Imaging
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Author : Ana Carpio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-17

Inverse Problems And Imaging written by Ana Carpio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-17 with Mathematics categories.


In the CIME Summer School on Imaging, experts in mathematical techniques and applications presented useful introductions to many aspects of the field. This volume contains updated lectures as well as additional contributions on other related topics.



Oxford Users Guide To Mathematics


Oxford Users Guide To Mathematics
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Author : Eberhard Zeidler
language : en
Publisher: Oxford University Press, USA
Release Date : 2004-08-19

Oxford Users Guide To Mathematics written by Eberhard Zeidler and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-19 with Business & Economics categories.


The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.



The Wulff Crystal In Ising And Percolation Models


The Wulff Crystal In Ising And Percolation Models
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Author : Raphaël Cerf
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-12

The Wulff Crystal In Ising And Percolation Models written by Raphaël Cerf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-12 with Mathematics categories.


This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.