An Expedition To Continuum Theory
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An Expedition To Continuum Theory
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Author : Wolfgang H. Muller
language : en
Publisher:
Release Date : 2014-02-28
An Expedition To Continuum Theory written by Wolfgang H. Muller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-28 with categories.
The State Of Deformation In Earthlike Self Gravitating Objects
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Author : Wolfgang H. Müller
language : en
Publisher: Springer
Release Date : 2016-04-30
The State Of Deformation In Earthlike Self Gravitating Objects written by Wolfgang H. Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-30 with Science categories.
This book presents an in-depth continuum mechanics analysis of the deformation due to self-gravitation in terrestrial objects, such as the inner planets, rocky moons and asteroids. Following a brief history of the problem, modern continuum mechanics tools are presented in order to derive the underlying field equations, both for solid and fluid material models. Various numerical solution techniques are discussed, such as Runge-Kutta integration, series expansion, finite differences, and (adaptive) FE analysis. Analytical solutions for selected special cases, which are worked out in detail, are also included. All of these methods are then applied to the problem, quantitative results are compared, and the pros and cons of the analytical solutions and of all the numerical methods are discussed. The book culminates in a multi-layer model for planet Earth according to the PREM Model (Preliminary Earth Model) and in a viscoelastic analysis of the deformation problem, all from the viewpoint of rational continuum theory and numerical analysis.
Introduction To Engineering Plasticity
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Author : Tongxi Yu
language : en
Publisher: Elsevier
Release Date : 2022-06-20
Introduction To Engineering Plasticity written by Tongxi Yu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-20 with Technology & Engineering categories.
The theory of plasticity is a branch of solid mechanics that investigates the relationship between permanent deformation and load, and the distribution of stress and strains of materials and structures beyond their elastic limit. Engineering plasticity underpins the safety of many modern systems and structures. Realizing the full potential of materials as well as designing precise metal processing and energy absorption structures requires mastery of engineering plasticity. Introduction to Engineering Plasticity: Fundamentals with Applications in Metal Forming, Limit Analysis and Energy Absorption presents both fundamental theory on plasticity and emphasizes the latest engineering applications. The title combines theory and engineering applications of plasticity, elaborating on problem solving in real-world engineering tasks such as in metal forming, limit analysis of structures, and understanding the energy absorption of structures and materials. The five main parts of the book cover: Plastic properties of materials and their characterization; Fundamental theory in plasticity; Elastic-plastic problems and typical solutions; and Rigid-plastic problems under plane-stress conditions. This title provides students and engineers alike with the fundamentals and advanced tools needed in engineering plasticity. - Brings together plasticity theory with engineering applications and problem solving - Elaborates problem solving methods and demonstrates plasticity in various engineering fields - Covers the recent decades of research on metal forming and limit analysis - Includes energy absorption of new structures and materials where plasticity dominates analysis and design - Gives a systematic account of the theory of plasticity alongside its engineering applications
Advances In Mechanics Of Time Dependent Materials
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2023-03-09
Advances In Mechanics Of Time Dependent Materials written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Technology & Engineering categories.
This book presents current trends in Mechanics of Time Dependent Materials. It covers a number of cutting-edge themes, such as characterization of linear and nonlinear mechanical behavior of viscoelastic materials and their composites, taking into consideration large deformations, low, moderate and large strain rates, as well as failure and fracture phenomena. The contributions are inspired by advanced applications in modern technologies, such as injection molding and extrusion.
Tensor Algebra And Analysis For Engineers With Applications To Differential Geometry Of Curves And Surfaces
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Author : Paolo Vannucci
language : en
Publisher: World Scientific
Release Date : 2023-02-27
Tensor Algebra And Analysis For Engineers With Applications To Differential Geometry Of Curves And Surfaces written by Paolo Vannucci and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-27 with Mathematics categories.
In modern theoretical and applied mechanics, tensors and differential geometry are two almost essential tools. Unfortunately, in university courses for engineering and mechanics students, these topics are often poorly treated or even completely ignored. At the same time, many existing, very complete texts on tensors or differential geometry are so advanced and written in abstract language that discourage young readers looking for an introduction to these topics specifically oriented to engineering applications.This textbook, mainly addressed to graduate students and young researchers in mechanics, is an attempt to fill the gap. Its aim is to introduce the reader to the modern mathematical tools and language of tensors, with special applications to the differential geometry of curves and surfaces in the Euclidean space. The exposition of the matter is sober, directly oriented to problems that are ordinarily found in mechanics and engineering. Also, the language and symbols are tailored to those usually employed in modern texts of continuum mechanics.Though not exhaustive, as any primer textbook, this volume constitutes a coherent, self-contained introduction to the mathematical tools and results necessary in modern continuum mechanics, concerning vectors, 2nd- and 4th-rank tensors, curves, fields, curvilinear coordinates, and surfaces in the Euclidean space. More than 100 exercises are proposed to the reader, many of them complete the theoretical part through additional results and proofs. To accompany the reader in learning, all the exercises are entirely developed and solved at the end of the book.
State Of The Art And Future Trends In Material Modeling
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2019-10-23
State Of The Art And Future Trends In Material Modeling written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-23 with Technology & Engineering categories.
This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.
Kontinuumsmechanik
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Author : Holm Altenbach
language : de
Publisher: Springer-Verlag
Release Date : 2018-08-27
Kontinuumsmechanik written by Holm Altenbach and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-27 with Science categories.
Innovative technische Projekte mit komplexen Aufgabenstellungen erfordern oft solide Kenntnisse in der Kontinuumsmechanik. Denn häufig handelt es sich um Mehrfeldprobleme, die sich im Rahmen klassischer Konzepte der Technischen Mechanik nicht lösen lassen. Das Buch führt leicht verständlich in das anspruchsvolle Gebiet der Kontinuumsmechanik ein. Der Schwerpunkt liegt bei festen deformierbaren Körpern, wobei sich die vorgestellten Konzepte problemlos auch auf Fluide übertragen lassen. Das Lehrbuch gliedert sich in vier Abschnitte: Grundbegriffe und mathematische Grundlagen, Materialunabhängige Gleichungen, Materialabhängige Gleichungen. Nach einer kurzen Einführung in Aufgaben, Betrachtungsweisen und Modelle der Kontinuumsmechanik werden zunächst die Grundzüge der Tensorrechnung vorgestellt. Die folgenden Kapitel behandeln systematisch die materialunabhängigen Aussagen der Kontinuumsmechanik, das heißt die Kinematik, die Kinetik und die Bilanzen. In den abschließenden Kapiteln zeigt der Autor anhand der für technische Anwendungen besonders wichtigen Teilgebiete (z.B. die lineare Theorie der Elastizität und der Thermoelastizität) wie die materialunabhängigen und die materialabhängigen Gleichungen zusammengefasst werden können. Zahlreiche Beispiele mit vollständigen Lösungen illustrieren den theoretischen Teil und erleichtern so das Verständnis. In der 4. Auflage wurden zahlreiche Abschnitte überarbeitet und präzisiert, wobei auch die unterschiedlichen Konzepte der Kontinuumsmechanik noch deutlicher gemacht werden. Zahlreiche Fehler wurden beseitigt. Gleichzeitig wurde die Referenzliteratur erweitert sowie die Liste der weiterführenden Literatur ergänzt und aktualisiert. Diese Einführung in die Kontinuumsmechanik richtet sich an Studierende an Universitäten und Fachhochschulen im Bereich Maschinenbau und Bauingenieurwesen, Physik und Technomathematik sowie an Wissenschaftler und Praktiker in der Industrie. Vorausgesetzt werden Kenntnisse der Höheren Mathematik, der Physik, der Technischen Mechanik, der Thermodynamik, der Strömungslehre und der Werkstoffkunde, wie sie zu Beginn der Ausbildung vermittelt werden.
Continuum Theory
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Author : Alejandro Illanes
language : en
Publisher: CRC Press
Release Date : 2002-07-25
Continuum Theory written by Alejandro Illanes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-25 with Mathematics categories.
Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor Nadler, theorems on the structure and uniqueness of hyperspaces, results on the dynamics of solenoids, examples involving inverse limits of
Mec Nica Dos S Lidos
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Author : Emil de Souza Sánchez Filho
language : pt-BR
Publisher: INTERCIÊNCIA
Release Date : 2025-02-26
Mec Nica Dos S Lidos written by Emil de Souza Sánchez Filho and has been published by INTERCIÊNCIA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-26 with Technology & Engineering categories.
Este livro apresenta, de maneira detalhada, oito capítulos sobre a Análise das Deformações do Contínuo. O emprego da notação tensorial e da notação indicial visa dar concisão e generalidade aos temas abordados. Dentre os diversos itens apresentados, constam: a definição dos conceitos de Contínuo; a formulação das deformações finitas, com as deduções dos tensores de Cauchy-Green (enfoque de Lagrange), de Almansi-Hamel (enfoque de Euler) e, com a simplificação advinda da hipótese dos pequenos deslocamentos, se apresenta o tensor de Cauchy. As quádricas das deformações específicas e o elipsoide de Lamé são analisados em todas as suas particularidades, com a descrição detalhada dos diversos casos que essas superfícies representam. As diferentes definições das deformações específicas são unificadas em expressões tensoriais, associadas aos dois sistemas referenciais, material e espacial. Os campos das deformações específicas são vinculados às equações de compatibilidade, e se deduz o tensor de incompatibilidade, que realça a abrangência dessas equações. O Estado Plano das Deformações é apresentado, com as simplificações das várias equações deduzidas para o tensor de Cauchy. As deduções das taxas de variações das distintas variedades e a objetividade dos tensores apresentada neste texto são pesquisadas e determinadas para cada tipo peculiar de tensor. O texto é fartamente ilustrado e apresenta exemplos e exercícios resolvidos.
Proceedings Of Workshop On Expansive Clays And Shales In Highway Design And Construction December 13 15 1972 Preface
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Author : Donald Roy Lamb
language : en
Publisher:
Release Date : 1973
Proceedings Of Workshop On Expansive Clays And Shales In Highway Design And Construction December 13 15 1972 Preface written by Donald Roy Lamb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Clay categories.
These proceedings are comprised of technical papers, reports remarks and discussions presented at the workshop on "expansive clays and shales in highway design and construction," in Denver, Colorado. The proceedings cover the state of the art on highway design and construction on expansive clays and shales.