Elastizitätstheorie: Grundlagen Der Linearen Theorie Und Anwendungen Auf Eindimensionale, Ebene Und Räumliche Probleme
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Die, klassische" lineare Elastizitätstheorie, wie sie in diesem Buch behandelt wird, stellt nach wie vor die wichtigste Grundlage für die meisten festigkeitsmechanischen Berech- nungen in der Technik dar. Hierin liegt ihr unbestrittener Wert und auch die Veranlas- sung, sie heute noch zu lehren und zu lernen. Ausgehend davon ist dann der Weg frei fiir Erweiterungen und Verbesserungen der Berechnungsrundlagen, wo dies wünschenswert erscheint. Der vorliegende Text fu t auf Vorlesungen, die ich seit langem vor Ingenieurstudenten höherer Semester gehalten habe. Da es sich in diesem Buch um eine Einfuhrung handelt, bin ich bemüht gewesen, stets die Anschaulichkeit vor dem mathematischen Apparat in den Vordergrund zu stellen. Zum Verständnis genügen elementare Kenntnisse der Ana- lysis sowie der technischen Mechanik, wie sie im Grundstudium an Technischen Univer- sitäten vermittelt werden. Einige Bemerkungen über den Inhalt des Buchs sowie die Art der Behandlung des Stoffs fmden sich in der Einleitung. Bei der Fertigstellung des Manuskripts und der Abbildungen sowie bei der Korrektur wurde ich von meinen Assistenten, insbesondere Herrn Priv.-Dozent Dr. H. A. Richard, bestens unterstützt. Ihnen allen gebührt mein herzlicher Dank, ebenso wie Frau E. Jeblick für die Schreib-und Kopierarbeiten, ferner dem Verlag für sein Eingehen auf meine besonderen Wünsche. Das Buch möge dem Andenken meiner akademischen Lehrer Ludwig Föppl (1887-1976) Walther Kaufmann (1887-1965) Winfried Otto Schumann (1888-1974) gewidmet sein! Kaiserslautern, im Herbst 1984 H. G. Hahn Inhaltsverzeichnis 0 Einleitung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 . . . . . . . . . . . 1 Statische und kinematische Grundlagen . . . . . . . . . . . . . . . . . . 15 . . . . . 1.1 Kontinuum und Bewegungen des Kontinuums . . . . . . . . . . . . . . . 15 . . . . 1.2 Spannungen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 . . . . . . . . . . .
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