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Logo: Institut für Kontinuumsmechanik/Leibniz Universität Hannover
Logo Leibniz Universität Hannover
Logo: Institut für Kontinuumsmechanik/Leibniz Universität Hannover
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Numerical simulation on arbitrary point clouds: Ensuring accuracy, stability, efficiency and industrial applicability

Meshfree solution schemes are still a big promise in computational mechanics. Although finite element methods are convincing by an exact and robust solution of partial differential equations, their use is limited by the mesh dependence of the simulation domain. By eliminating the connectivity, any applications can be simulated. Not only does this allow for simplification in the area of fluid-structure interactions, but also very complex processes, e.g. additive or subtractive manufacturing processes can be reproduced realistically in a very simple way.

Depending on the procedure, challenges are:

  • Accuracy of mathematical operators such as divergence

  • Admissible particle distribution

  • Under Integration

  • Imposition of boundary conditions

  • Efficient solution of partial differential equations


A reliable method that meets all criteria is not found until today. In the field of method development at the IKM, different, promising concepts are developed and combined in order to master the above-mentioned challenges and pave the way for industrial application. In addition, new concepts are developed and tested so that the optimum can be achieved. The goal is to simulate true-to-life applications. Therefore, efficient parallel programming of the new software is an equally important part of the development process.

Team:

Philipp Hartmann
Dengpeng Huang
Sandeep Kumar
Henning Wessels

Netzfreie Methoden

Process Simulation for Selective Laser Melting

Bild zum Projekt Process Simulation for Selective Laser Melting

Leitung:

Christian Weißenfels, Peter Wriggers

Bearbeitung:

M.Sc. Henning Wessels

Kurzbeschreibung:

A phase change model for solution with the meshfree Galerkin OTM method is developed.

 

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3D-Printing of Curing Polymers

Bild zum Projekt 3D-Printing of Curing Polymers

Leitung:

Christian Weißenfels, Peter Wriggers

Bearbeitung:

M.Sc. Philipp Hartmann

Förderung durch:

DFG (Graduiertenkolleg 1627)

Kurzbeschreibung:

3D-Printing simulations of curing polymers within the concept of Peridynamics are developed.

 

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