92 research outputs found
From fracture to fragmentation: discrete element modeling -- Complexity of crackling noise and fragmentation phenomena revealed by discrete element simulations
Discrete element modelling (DEM) is one of the most efficient computational
approaches to the fracture processes of heterogeneous materials on mesoscopic
scales. From the dynamics of single crack propagation through the statistics of
crack ensembles to the rapid fragmentation of materials DEM had a substantial
contribution to our understanding over the past decades. Recently, the
combination of DEM with other simulation techniques like Finite Element
Modelling further extended the field of applicability. In this paper we briefly
review the motivations and basic idea behind the DEM approach to cohesive
particulate matter and then we give an overview of on-going developments and
applications of the method focusing on two fields where recent success has been
achieved. We discuss current challenges of this rapidly evolving field and
outline possible future perspectives and debates
Orthotropic rotation-free thin shell elements
A method to simulate orthotropic behaviour in thin shell finite elements is
proposed. The approach is based on the transformation of shape function
derivatives, resulting in a new orthogonal basis aligned to a specified
preferred direction for all elements. This transformation is carried out solely
in the undeformed state leaving minimal additional impact on the computational
effort expended to simulate orthotropic materials compared to isotropic,
resulting in a straightforward and highly efficient implementation. This method
is implemented for rotation-free triangular shells using the finite element
framework built on the Kirchhoff--Love theory employing subdivision surfaces.
The accuracy of this approach is demonstrated using the deformation of a
pinched hemispherical shell (with a 18{\deg} hole) standard benchmark. To
showcase the efficiency of this implementation, the wrinkling of orthotropic
sheets under shear displacement is analyzed. It is found that orthotropic
subdivision shells are able to capture the wrinkling behavior of sheets
accurately for coarse meshes without the use of an additional wrinkling model.Comment: 10 pages, 8 figure
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