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Kontinuumsmechanik: Einführung in Die Materialunabhängigen Und Materialabhängigen Gleichungen
Paperback
Technology & EngineeringGeneral MathematicsPhysics
ISBN13: 9783662575031
Publisher: Springer Vieweg
Published: Sep 6 2018
Pages: 345
Weight: 1.26
Height: 0.75 Width: 6.69 Depth: 9.61
Language: German
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 hei t die Kinematik, die Kinetik und die Bilanzen. In den abschlie enden 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.
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