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Methode Der Finiten Elemente: Eine Einführung Unter Besonderer Berücksichtigung Der Rechenpraxis
Paperback
Series: Leitfäden Der Angewandten Mathematik Und Mechanik - Teubner, Book 47
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ISBN10: 351922349X
ISBN13: 9783519223498
Publisher: Vieweg+teubner Verlag
Published: Jan 1 1991
Pages: 436
Weight: 1.11
Height: 0.89 Width: 5.50 Depth: 8.50
Language: German
ISBN13: 9783519223498
Publisher: Vieweg+teubner Verlag
Published: Jan 1 1991
Pages: 436
Weight: 1.11
Height: 0.89 Width: 5.50 Depth: 8.50
Language: German
Das vorliegende Buch entstand seinerzeit auf die Anregung meines verehrten Lehrers, Herrn Prof. Dr. E. Stiefel. Es richtet sich an Mathematiker, Physiker, Ingenieure und Naturwissenschaftler, die an einer einfachen, auf die praktische und effiziente Durchführung ausgerichteten einführenden Darstel- lung der Methode der finiten Elemente interessiert sind. Im elementar gehaltenen, einführenden Lehrbuch werden die Grundprinzi- pien der Methode der finiten Elemente für ein- und zweidimensionale Probleme eingehend dargelegt. Die Verallgemeinerung der Ideen und Vorge- hensweisen zur Lösung von dreidimensionalen Aufgaben liegt auf der Hand. Die Behandlung von ein- und zweidimensionalen Problemstellungen bietet den Vorteil anschaulich und durchsichtig zu sein. Es wurde versucht, aus dem weiten Anwendungsbereich der Methode der finiten Elemente typische und repräsentative Problemkreise auszuwählen und die zugehörigen Grundlagen darzustellen. So werden zuerst die für die Physik und verschiedene Zweige der Ingenieur- und Naturwissenschaften wichtigen stationären und instationären Feldprobleme behandelt. Darunter fallen elliptische Randwertaufgaben, instationäre Diffusions-und Wärmeleitungsprobleme sowie Schwingungsauf- gaben. Aus dem weiten Gebiet der Elastomechanik werden nur Stäbe, Balken, Scheiben und Platten betrachtet, an denen das grundsätzliche Vorgehen im Rahmen der linearen Elastizitätstheorie aufgezeigt wird.
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