Reinhold Kienzler Knihy

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.

This book contains selected papers from the International Symposium on Defect and Material Mechanics (ISDMM 15) held in Bremen, Germany, September 14-17, 2015. The symposium brought together researchers in the areas of the mechanics of defects (cracks, dislocations, inclusions, precipitates, phase boundaries amongst others) and the material (configurational) mechanics in the sense of Eshelby, as a rational framework for the description of driving forces on evolving inhomogeneities and structural changes in continua. Important developments in Configurational Mechanics have been performed in the last years and the symposium aimed at promoting scientific exchanges between researchers in the field. Previously published in the International Journal of Fracture, Volume 202:2, 2016

The aim of the book is to present, in a novel and unified fashion, the elements of Mechanics in Material Space or Configurational Mechanics, with applications to fracture and defect mechanics. This mechanics, in contrast to Newtonian mechanics in physical space, is concerned with defects such as cracks and dislocations, which are embedded in the material and might move in it. The level is kept accessible to any engineer, scientist or graduate student possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.

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.

Wegunabhängige Integrale finden ihre Anwendung hauptsächlich in der Bruchmechanik. Erreichen die Integrale infolge äußerer Belastung kritische, werkstoffspezifische Werte, tritt Bauteilversagen bzw. Rißfortschritt ein. Die Ableitung von Erhaltungssätzen, die auf wegunabhängige Integrale führen, erfolgt im Rahmen der Kontinuumsmechanik ganz algemein. Zur Anwendung auf Bruchmechanikprobleme werden die Integrale durch Einführung entsprechender Werkstoffg esetze spezialisiert.