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Multifield Problems


Multifield Problems
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Multifield Problems In Solid And Fluid Mechanics


Multifield Problems In Solid And Fluid Mechanics
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Author : Rainer Helmig
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-28

Multifield Problems In Solid And Fluid Mechanics written by Rainer Helmig 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 2006-11-28 with Technology & Engineering categories.


This book gives an overview of the research projects within the SFB 404 "Mehrfeldprobleme in der Kontinuumsmechanik". The book is for researchers and graduate students in applied mechanics and civil engineering.



Multifield Problems


Multifield Problems
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Author : A.-M. Sändig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Multifield Problems written by A.-M. Sändig 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 2013-06-29 with Science categories.


The simulation of complex engineering problems often involves an interaction or coupling of individual phenomena, which are traditionally related by themselves to separate fields of applied mechanics. Typical examples of these so-called multifield problems are the thermo-mechanical analysis of solids with coupling between mechanical stress analysis and thermal heat transfer processes, the simulation of coupled deformation and fluid transport mechanisms in porous media, the prediction of mass transprot and phase transition phenomena of mixtures, the analysis of sedimentation processes based on an interaction of particle dynamics and viscous flow, the simulation of multibody systems and fluid-structure interactions based on solid-to-solid and solid-to-fluid contact mechanisms.



Analysis And Simulation Of Multifield Problems


Analysis And Simulation Of Multifield Problems
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Author : Wolfgang L. Wendland
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-10

Analysis And Simulation Of Multifield Problems written by Wolfgang L. Wendland 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 2012-11-10 with Technology & Engineering categories.


The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany.



Advances In Multifield Theories For Continua With Substructure


Advances In Multifield Theories For Continua With Substructure
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Author : Gianfranco Capriz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Advances In Multifield Theories For Continua With Substructure 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 2012-12-06 with Mathematics categories.


Toachieve design, implementation,and servicing ofcomplex systems and struc tures in an efficient and cost-effective way,a deeper knowledge and understanding of the subtle cast and detailed evolution of materials is needed. The analysis in demand borders with the molecular and atomic one, spanning all the way down from classical continua. The study of the behavior of complex materials in sophisticated devices also opens intricate questions about the applicability of primary axioms ofcontinuum mechanics such as the ultimate nature of the material element itselfand the possibility ofidentifying itperfectly. So it is necessary to develop tools that allow usto formulate both theoretical models and methods of numerical approximation for the analysis of material substructures. Multifield theories in continuum mechanics, which bridge classical materials science and modern continuum mechanics, provide precisely these tools. Multifield theories not only address problems of material substructures, but also encompass well-recognized approaches to the study of soft condensed matter and allow one to model disparate conditions in various states ofmatter. However, research inmultifield theories is vast, and there is little in the way of a comprehensive distillation of the subject from an engineer's perspective. Therefore, the papers in the present volume, 1 which grew out of our experience as editors for an engineeringjournal, tackle some fundamental questions,suggest solutions of concrete problems, and strive to interpret a host of experimental evidence. In this spirit, each of the authors has contributed original results having in mind their wider applicability.



Variational Methods For Dissipative Multifield Problems In Solid Mechanics


Variational Methods For Dissipative Multifield Problems In Solid Mechanics
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Author : Stephan Teichtmeister
language : en
Publisher:
Release Date : 2021

Variational Methods For Dissipative Multifield Problems In Solid Mechanics written by Stephan Teichtmeister and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.




Classical And Mixed Multilayered Plate Shell Models For Multifield Problems Analysis


Classical And Mixed Multilayered Plate Shell Models For Multifield Problems Analysis
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Author : Salvatore Brischetto
language : en
Publisher:
Release Date : 2009

Classical And Mixed Multilayered Plate Shell Models For Multifield Problems Analysis written by Salvatore Brischetto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.


Analytical and numerical models have been implemented in this work to study multifield problems for multilayered structures. The dissertation is organized in three main parts: an extension of the geometrical relations and constitutive equations to multifield problems and multilayered plates and shells; the introduction of Carrera's Unified Formulation (CUF), the use of variational statements, and their extension to multifield problems; the results of several multifield couplings. Constitutive equations for multifield problems are given in the first part and they are extended to functionally graded materials by employing opportune thickness functions to describe the physical properties that continuously change in the thickness direction. The multifield constitutive equations, obtained in a generalized way by employing thermodynamic considerations, are discussed for several multifield couplings and rewritten opportunely for the case of mixed models. Geometrical relations for plates and shells are discussed, with particular attention to their extension to multifield problems. The second part is devoted to CUF, with the introduction of a general and unified manner of describing the variables related to mechanical, thermal and electrical fields in multilayered plates and shells. The proposed two-dimensional models are defined as refined or advanced, according to the considered variational statement: refined models are based on the principle of virtual displacements (PVD), advanced models employ Reissner's mixed variational theorem (RMVT). The third part is about the results of the pure mechanical analysis, the thermo-mechanical analysis and the electro-mechanical coupling.



Green S Function And Boundary Elements Of Multifield Materials


Green S Function And Boundary Elements Of Multifield Materials
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Author : Qing-Hua Qin
language : en
Publisher: Elsevier
Release Date : 2010-07-07

Green S Function And Boundary Elements Of Multifield Materials written by Qing-Hua Qin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-07 with Technology & Engineering categories.


Green's Function and Boundary Elements of Multifield Materials contains a comprehensive treatment of multifield materials under coupled thermal, magnetic, electric, and mechanical loads. Its easy-to-understand text clarifies some of the most advanced techniques for deriving Green's function and the related boundary element formulation of magnetoelectroelastic materials: Radon transform, potential function approach, Fourier transform. Our hope in preparing this book is to attract interested readers and researchers to a new field that continues to provide fascinating and technologically important challenges. You will benefit from the authors' thorough coverage of general principles for each topic, followed by detailed mathematical derivation and worked examples as well as tables and figures where appropriate. In-depth explanations of the concept of Green's function Coupled thermo-magneto-electro-elastic analysis Detailed mathematical derivation for Green's functions



Macro Micro Theory On Multifield Coupling Behavior Of Heterogeneous Materials


Macro Micro Theory On Multifield Coupling Behavior Of Heterogeneous Materials
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Author : Qing-Hua Qin
language : en
Publisher:
Release Date : 2010-10-19

Macro Micro Theory On Multifield Coupling Behavior Of Heterogeneous Materials written by Qing-Hua Qin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-19 with categories.


This book contains a comprehensive treatment of heterogeneous materials under coupled thermal, magnetic, electric, and mechanical loads. The easy-to-understand text clarifies some of the most advanced techniques for analysing and solving multifield problems of heterogeneous materials: micromechanics approach and homogenization method. Readers will benefit from the authors " thorough coverage of the fundamentals followed by detailed mathematical derivation with worked examples.



Innovative Numerical Approaches For Multi Field And Multi Scale Problems


Innovative Numerical Approaches For Multi Field And Multi Scale Problems
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Author : Kerstin Weinberg
language : en
Publisher: Springer
Release Date : 2016-06-24

Innovative Numerical Approaches For Multi Field And Multi Scale Problems written by Kerstin Weinberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-24 with Science categories.


This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is a continuing source of inspiration for many researchers. It is hoped that by providing a "taste" of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.



Lifetime Oriented Structural Design Concepts


Lifetime Oriented Structural Design Concepts
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Author : Friedhelm Stangenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-26

Lifetime Oriented Structural Design Concepts written by Friedhelm Stangenberg 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 2009-11-26 with Technology & Engineering categories.


Safety and reliability are important for the whole expected service duration of an engineering structure. Therefore, prognostical solutions for different building types are needed and uncertainties have to be handled. Life-cycle strategies to control future structural degradations by concepts of appropriate design have to be developed, in case including means of inspection, maintenance, and repair. Aspects of costs and sustainability also matter. The Cooperative Research Center for Lifetime-Oriented Design Concepts (SFB 398) at Ruhr University in Bochum combines the wide range of scientific topics between structural engineering, structural and soil mechanics and material sciences regarding structural lifetime management in this present extraordinary monolithic format. The characterization and modeling of lifetime-related external actions of multiple origin are presented in this book as well as the physical description, the modeling and the validation of material degradation. Adaptive numerical methods and simulation techniques are provided for the lifetime-oriented design concepts to forecast material and structural degradation. Stochastic aspects, mathematical optimization methods and interactions between various influences are included. Thus, a solid basis is provided for future practical use and also for standardization of structural design with respect to lifetime-prediction.