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Analysis And Simulation Of Multifield Problems

Author: Wolfgang L. Wendland
Publisher: Springer Science & Business Media
ISBN: 3540365273
Size: 58.75 MB
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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.

Multifield Problems In Solid And Fluid Mechanics

Author: Rainer Helmig
Publisher: Springer Science & Business Media
ISBN: 3540349618
Size: 16.16 MB
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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.

Numerische N Herungsverfahren F R Elliptische Randwertprobleme

Author: Olaf Steinbach
Publisher: Springer-Verlag
ISBN: 3322800547
Size: 79.97 MB
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Für die näherungsweise Lösung von Randwertproblemen zweiter Ordnung wird eine einheitliche Theorie der Finiten Elemente Methode und der Randelementmethode präsentiert. Neben der Stabilitäts- und Fehleranalysis wird vor allem auf effiziente Lösungsverfahren eingegangen. Für die Diskretisierung der auftretenden Randintegraloperatoren werden schnelle Randelementmethoden (Wavelets, Multipol, algebraische Techniken) mit der Darstellung durch partielle Integration verknüpft. Durch die Kopplung von FEM und BEM mittels Gebietszerlegungsmethoden können gekoppelte Randwertprobleme in komplexen Strukturen behandelt werden. Numerische Beispiele illustrieren die theoretischen Aussagen.

Simulation Of Manufacturing Sequences Of Functionally Graded Structures

Author: Gleim, Tobias
Publisher: kassel university press GmbH
ISBN: 3737602506
Size: 51.60 MB
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The current paper establishes an axisymmetric model for an inductive heating process. Therein, the fully coupled MAXWELL equations, assuming a temperature dependent permeability, are combined with the non-linear heat conduction equation to yield a monolithic solution strategy. The latter is based on a consistent linearization together with a higher order finite element discretization using GALERKIN'S method in space. For the temporal discretization, the generalized Newmark-α methods, higher order RUNGE-KUTTA methods, and discontinuous and continuous GALERKIN methods are used. Furthermore, the residual error is introduced to open an alternative way to obtain a numerically efficient estimation of the time integration accuracy. Simulation results of the electric, magnetic and thermal fields are provided, together with parameter studies concerning spatial discretization, frequency dependence and penetration depth of the heating zone. Another topic analyzed is the residual error and its estimation quality regarding polynomial degree and time step size. A further aspect of this work is the investigation of the thermal fluid-structure interaction with respect to functionally graded materials. Different coupling strategies for the acceleration of the fixed-point iteration in each time step is in the foreground. Relaxation methods as well as extrapolation methods make it possible to significantly reduce the number of fixed point iterations. At the same time, an adaptive strategy with higher order RUNGE-KUTTA methods can provide a further advantage in combination with acceleration methods.

Aiaa Journal

Author: American Institute of Aeronautics and Astronautics
Size: 44.73 MB
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Innovative Numerical Approaches For Multi Field And Multi Scale Problems

Author: Kerstin Weinberg
Publisher: Springer
ISBN: 3319390228
Size: 74.87 MB
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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.

Trends In Computational Contact Mechanics

Author: Giorgio Zavarise
Publisher: Springer Science & Business Media
ISBN: 9783642221675
Size: 24.60 MB
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The subject of Computational Contact Mechanics has many facets. Its main impact lies in the transfer of knowledge form theoretical research to applied sciences, and from there to industry. The application fields are literally countless, ranging from classical engineering to biomechanics and nano-sciences. The remarkable increase of computer power in recent years has been instrumental in enabling the development of simulation-based analysis in current design activity. This still involves tremendous effort in research, which focuses on, for example, multi-field and multi-scale problems, algorithmic robustness, and geometrical accuracy. Moreover, several aspects of Contact Mechanics, Debonding and Fracture Mechanics, have been combined to offer new enhanced possibilities to the computer simulation of complex phenomena. With these contributions of prominent scientists, this book offers a wide overview on the ongoing research at the highest level in the field.

An Introduction To Computational Micromechanics

Author: Tarek I. Zohdi
Publisher: Springer Science & Business Media
ISBN: 3540323600
Size: 58.22 MB
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In this, its second corrected printing, Zohdi and Wriggers’ illuminating text presents a comprehensive introduction to the subject. The authors include in their scope basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. This volume is ideal for researchers and engineers, and can be used in a first-year course for graduate students with an interest in the computational micromechanical analysis of new materials.

Electromagnetic Properties Of Multiphase Dielectrics

Author: Tarek I. Zohdi
Publisher: Springer Science & Business Media
ISBN: 3642284272
Size: 21.62 MB
Format: PDF, Mobi
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Recently, several applications, primarily driven by microtechnology, have emerged where the use of materials with tailored electromagnetic (dielectric) properties are necessary for a successful overall design. The ``tailored'' aggregate properties are achieved by combining an easily moldable base matrix with particles having dielectric properties that are chosen to deliver (desired) effective properties. In many cases, the analysis of such materials requires the simulation of the macroscopic and microscopic electromagnetic response, as well as its resulting coupled thermal response, which can be important to determine possible failures in ``hot spots.'' This necessitates a stress analysis. Furthermore, because, oftentimes, such processes initiate degratory chemical processes, it can be necessary to also include models for these processes as well. A central objective of this work is to provide basic models and numerical solution strategies to analyze the coupled response of such materials by direct simulation using standard laptop/desktop equipment. Accordingly, this monograph covers: (1) The foundations of Maxwell's equations, (2) Basic homogenization theory, (3) Coupled systems (electromagnetic, thermal, mechanical and chemical), (4) Numerical methods and (5) An introduction to select biological problems. The text can be viewed as a research monograph suitable for use in an upper-division undergraduate or first year graduate course geared towards students in the applied sciences, mechanics and mathematics that have an interest in the analysis of particulate materials.

Technische Mechanik

Author: Dietmar Gross
Publisher: Springer-Verlag
ISBN: 3540275460
Size: 25.84 MB
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Der Band Elastostatik ist der zweite Teil des vierbändigen Lehrbuches über Technische Mechanik für Ingenieurstudenten aller Fachrichtungen. Ziel des Werkes ist es, das Verständnis der wesentlichen Grundgesetze der Mechanik zu vermitteln. Der Studierende soll die Fähigkeiten entwickeln, mit Hilfe der Mechanik Ingenieurprobleme zu formulieren und selbständig zu lösen. Das Buch enthält zahlreiche durchgerechnete Beispiele, mit deren Hilfe der Leser die Anwendung der Grundgesetze nachvollziehen kann. Der dargestellte Stoff orientiert sich inhaltlich an den Kursen in Technischer Mechanik an deutschsprachigen Hochschulen. Der große Erfolg des Buches macht bereits nach kurzer Zeit eine weitere Neuauflage notwendig. In der achten Auflage neu hinzugekommen ist ein Kapitel, das sich mit Stäben und Balken aus Verbundmaterialien befasst.