Dünnwandannahme

Dünnwandannahme refers to a simplification used in structural mechanics, particularly in the analysis of thin-walled structures. This assumption is valid when one dimension of the structure, typically its thickness, is significantly smaller than the other two dimensions, such as length and width.

The core idea behind the Dünnwandannahme is to reduce the complexity of the three-dimensional stress and strain state to a more manageable two-dimensional or even one-dimensional problem. This is achieved by making certain assumptions about the behavior of the material and the geometry of the structure. For instance, it is often assumed that stresses perpendicular to the thin wall are negligible, and that strains vary linearly through the thickness.

This simplification allows for more efficient calculations and a better understanding of the overall structural behavior without the computational burden of full three-dimensional finite element analysis. Common applications where the Dünnwandannahme is employed include the analysis of beams, plates, shells, and slender structural components like airplane fuselages or pressure vessels. The validity of the assumption depends on the specific ratio of dimensions and the type of loading applied. When the thickness becomes a significant fraction of other dimensions, more advanced analysis methods are required.