Reinhold Kienzler

Holm Altenbach

Ingrid Ott

Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Critical Review and New Applications

Theories of Plates and Shells

Roland Schröder

Aufbauend auf dem Grundkurs in Technischer Mechanik (Statik, Elastostatik) führen die Autoren behutsam in die Grundgleichungen der linearen dreidimensionalen und ebenen Elastizitätstheorie in kartesischen Koordinaten ein. Die Grundlagen werden verständlich und nachvollziehbar dargelegt und anhand von Beispielen sowie Übungsaufgaben vertieft. Spannungszustand, Verzerrungszustand, Werkstoffgesetz und die Ansätze zur Lösung der Grundgleichungen werden in einzelnen Kapiteln betrachtet. Hinweise zur weiterführenden Literatur ergänzen den Lehrstoff.

Reinhold Kienzler

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