Homogenization And Effective Moduli Of Materials And Media
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Homogenization And Effective Moduli Of Materials And Media
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Author : Jerald L. Ericksen
language : en
Publisher:
Release Date : 1986
Homogenization And Effective Moduli Of Materials And Media written by Jerald L. Ericksen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Mathematics Of Multiscale Materials
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Author : Kenneth M. Golden
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics Of Multiscale Materials written by Kenneth M. Golden 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 2012-12-06 with Computers categories.
Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, gels, foams, granular aggregates, sea ice, shape-memory metals, magnetic materials, and electro-rheological fluids are all examples of materials where an understanding of the mathematics on the different length scales is a key to interpreting their physical behavior. In their analysis of these media, scientists coming from a number of disciplines have encountered similar mathematical problems, yet it is rare for researchers in the various fields to meet. The 1995-1996 program at the Institute for Mathematics and its Applications was devoted to Mathematical Methods in Material Science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. The present volume contains chapters which have emerged from four of the workshops held during the year, focusing on the following areas: Disordered Materials; Interfaces and Thin Films; Mechanical Response of Materials from Angstroms to Meters; and Phase Transformation, Composite Materials and Microstructure. The scales treated in these workshops ranged from the atomic to the microstructural to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to the highly applied. Taken together, these works form a compelling and broad account of many aspects of the science of multiscale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science.
Function Spaces Interpolation Theory And Related Topics
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Author : Michael Cwikel
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
Function Spaces Interpolation Theory And Related Topics written by Michael Cwikel and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.
Random Media And Composites
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Author : Robert V. Kohn
language : en
Publisher: SIAM
Release Date : 1989-01-01
Random Media And Composites written by Robert V. Kohn and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Technology & Engineering categories.
Variational Methods For Structural Optimization
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Author : Andrej Cherkaev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Variational Methods For Structural Optimization written by Andrej Cherkaev 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 2012-12-06 with Science categories.
In recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathematical foundations of structural optimization. The challenge of this book is to bridge a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in a sufficiently simple form to make them available for practical use and to allow their critical appraisal for improving and adapting these results to specific models. Special attention is to pay to the description of optimal structures of composites; to deal with this problem, novel mathematical methods of nonconvex calculus of variation are developed. The exposition is accompanied by examples.
An Introduction To Convergence
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Author : Gianni Dal Maso
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Convergence written by Gianni Dal Maso 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 2012-12-06 with Mathematics categories.
An Introduction To G Convergence
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Author : Gianni Dal Maso
language : en
Publisher: Springer Science & Business Media
Release Date : 1993
An Introduction To G Convergence written by Gianni Dal Maso 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 1993 with Mathematics categories.
The last twentyfive years have seen an increasing interest for variational convergences and for their applications to different fields, like homogenization theory, phase transitions, singular perturbations, boundary value problems in wildly perturbed domains, approximation of variatonal problems, and non smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -convergence held by the author in Trieste at the International School for Advanced Studies (S. I. S. S. A. ) during the academic years 1983-84,1986-87, 1990-91, and in Rome at the Istituto Nazionale di Alta Matematica (I. N. D. A. M. ) during the spring of 1987. This text is far from being a treatise on r -convergence and its appli cations.
Random Heterogeneous Materials
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Author : Salvatore Torquato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Random Heterogeneous Materials written by Salvatore Torquato 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 2013-04-17 with Mathematics categories.
The interdisciplinary subject of random heterogeneous materials has experienced remarkable growth since the publication of the well-known monograph Statistical Con tinuum Theories by Beran ( 1968). Many of these advances, especially those concerning the statistical characterization of the microstructure and its effect on the physical prop erties of the material, have not been treated fully in any book. One of the intents of the present book is to fill this gap. This book also distinguishes itself in that it provides a unified rigorous framework to characterize the microstructures and macroscopic properties of the widely diverse types of heterogeneous materials found in nature and synthetic products. Emphasis is placed on providing foundational theoretical methods that can simultaneously yield results of practical utility. This book treats a wide breadth of topics, but the choice of subjects naturally reflects my own interests. The sheer enormity of the field has prevented me from covering many important topics. I apologize to those colleagues, known and unknown, who may not find enough of their own work cited in the ensuing pages.
The Rock Physics Handbook
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Author : Gary Mavko
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-09
The Rock Physics Handbook written by Gary Mavko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-09 with Business & Economics categories.
Brings together widely scattered theoretical and laboratory rock physics relations critical for modelling and interpretation of geophysical data.
Discrete And Continuum Models For Complex Metamaterials
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Author : Francesco dell'Isola
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-12
Discrete And Continuum Models For Complex Metamaterials written by Francesco dell'Isola and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-12 with Science categories.
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.