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Kompaktkurs Finite Elemente Für Einsteiger: Theorie Und Beispiele Zur Approximation Linearer Feldprobleme
Paperback
ISBN13: 9783658334109
Publisher: Springer Vieweg
Published: Aug 5 2021
Pages: 325
Weight: 1.19
Height: 0.71 Width: 6.69 Depth: 9.61
Language: German
Dieses studentenerprobte Lehrbuch stellt die Finite-Elemente-Methode (FEM) als ein allgemeines numerisches Approximationsverfahren für partielle Differentialgleichungen mit einem Fokus auf die lineare Elastostatik vor. Neben dem systematischen Vorgehen zur Erstellung von Finite Elementen und dem daraus resultierenden Gleichungssystem aus den physikalischen Fragestellungen mithilfe von Ansatzfunktionen wird die Konsequenz dieser Diskretisierung aufgezeigt. Diese umfasst die Phänomene des Locking und des Hourglassing. Zur praktischen Berechnung einer approximativen Lösung werden Verfahren vorgestellt, die für die computergestützte Berechnung benötigt werden, wie z. B. das isoparametrische Konzept und die numerische Integration. Abschlie end wird die Berechnung abgeleiteter Grö en erläutert und ihre Signifikanz für die Bewertung der Berechnungsergebnisse dargelegt. Etliche begleitende und weiterführende Beispielaufgaben mit ausführlichen Lösungen aus verschiedenen Blickwinkeln tragen zum Verständnis der Theorie und den damit verbundenen Problemen zur Lösungsfindung bei.
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