Optimierung von mechanischen Strukturen und Systemen
Projects:
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Klassische kontinuierliche Ansätze berücksichtigen die besondere atomare oder molekulare Struktur von Materialien nicht explizit. Somit sind sie für die korrekte Beschreibung hochgradig multiskaliger Phänomene wie beispielsweise Rissausbreitung oder Interphaseneffekte in Polymerwerkstoffen nicht gut geeignet. Um die atomare Auflösungsebene zu integrieren, wurde die „Capriccio“-Methode als eine neuartige Multiskalentechnik entwickelt. Sie wird z.B. für die Untersuchung des Einflusses nanoskaliger…
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This project targets the formulation and implementation of a method for structural shape and topology optimization within an embedding domain setting. Thereby, the main consideration is to embed the evolving structural component into a uniform finite element mesh which is then used for the structural analyses throughout the course of the optimization. A boundary tracking procedure based on adaptive (or hierarchical) mesh refinement is used to identify interior and exterior elements, as well as s…
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We consider local refinements of finite element triangulations as continuous graph operations, for instance by splitting nodes and inflating edges to elements. This approach allows for the derivation of sensitivities for functionals depending on the finite element solution, which may in turn be used to define local refinement indicators. Thereby, we develop adaptive algorithms exploiting sensitivities for both hierarchical and non-hierarchical mesh changes, and analyze their properties and perfo…
Funding source: DFG / Graduiertenkolleg (GRK)
Acronym: GRK2423 - P8
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The mechanical properties and the fracture toughness of polymers can be increased by adding silica nanoparticles. This increase is mainly caused by the development of localized shear bands, initiated by the stress concentrations due to the silica particles. Other mechanisms responsible for the observed toughening are debonding of the particles and void growth in the matrix material. The particular mechanisms depend strongly on the structure and chemistry of the polymers and will be analysed for…
Funding source: DFG / Graduiertenkolleg (GRK)
Acronym: GRK2423 - P10
Project leader: ,
In a continuum the tendency of pre-existing cracks to propagate through the ambient material is assessed based on the established concept of configurational forces. In practise crack propagation is however prominently affected by the presence and properties of either surfaces and/or interfaces in the material. Here materials exposed to various surface treatments are mentioned, whereby effects of surface tension and crack extension can compete. Likewise, surface tension in inclusion-matrix interf…
Funding source: DFG / Graduiertenkolleg (GRK)
Acronym: GRK2423 - P11
Project leader: ,
In previous works, the dependence of failure mechanisms in composite materials like debonding of the matrix-fibre interface or fibre breakage have been discussed. The underlying model was based on specific cohesive zone elements, whose macroscopic properties could be derived from DFT. It has been shown that the dissipated energy could be increased by appropriate choices of cohesive parameters of the interface as well as aspects of the fibre. However due to the numerical complexity of applied si…