2011 | OriginalPaper | Buchkapitel
A Shell Theory with Scale Effects, Higher Order Gradients, and Meshfree Computations
verfasst von : Carlo Sansour, Sebastian Skatulla
Erschienen in: Recent Developments and Innovative Applications in Computational Mechanics
Verlag: Springer Berlin Heidelberg
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In recent times, scale effects have been given great attention due to the fact that they characterise the material behaviour at lower scales. The later being considered an important area of research in material sciences and engineering. Many applications, however, are concerned with so-called thin domains (e.g. thin films, nano tubes) which makes it more effective to run the computations via a shell theory. Hence the motivation to develop a shell theory which includes in a natural way scale effects. This is done by extending and modifying previous 3-d generalized formulations of the authors [5] to accommodate for the shell. Applications are discussed for the buckling of thin shells at small scales.