Events

Here you can find upcoming and past events organized by our group.

  • Thu
    11
    Jan
    2018

    11:30SC Seminar Room 32-349

    Johannes Blühdorn, TU Kaiserslautern

    Title:
    Efficient Solution of the Unit Cell Problem

    Abstract:

    For materials with complex microstructure, analytical descriptions of the effective (macroscopic) behaviour are usually not available. In the context of mathematical homogenization, the effective behaviour is approximated based on a simulation of a material unit cell on the microscopic scale. There, one has to solve an elliptic PDE. The best approximation is usually obtained with periodic boundary conditions. While the unit cell problem can traditionally be solved by finite element methods, Moulinec and Suquet proposed a more efficient algorithm that needs no meshing and can work directly on data obtained from CT images. It relies upon the reformulation of the original problem in terms of the periodic Lippmann-Schwinger equation. The solution to this integral equation is approximated in the space of trigonometric polynomials by means of a fixed point iteration. In each iteration, a PDE with constant coefficients must be solved, which is done efficiently in Fourier space. In this talk, we derive the method for linear elasticity at small deformations. We outline how it extends to nonlinear material laws and large deformations and discuss its advantages, limitations and more recent adaptions.

  • Thu
    18
    Jan
    2018

    11:30SC Seminar Room 32-349

    Dr. Stefan Görtz, DLR Braunschweig, Institut für Aerodynamik und Strömungstechnik

    Title:
    TBA

    Abstract:

    TBA

  • Thu
    25
    Jan
    2018

    11:30SC Seminar Room 32-349

    Max Stein, TU Kaiserslautern

    Title:
    TBA

    Abstract:

    TBA

  • Thu
    01
    Feb
    2018

    11:30SC Seminar Room 32-349

    Johannes Blühdorn, TU Kaiserslautern

    Title:
    TBA

    Abstract:

    TBA

  • Thu
    08
    Feb
    2018

    11:30SC Seminar Room 32-349

    Falko Schneider, ITWM

    Title:
    TBA

    Abstract:

    TBA