Topological derivatives and generalized shape design

  • Bendsøe, Martin P. (Project Participant)
  • Haber, Robert B. (Project Participant)
  • Totorelli, Daniel (Project Participant)

    Project Details

    Description

    In this project we have developed a fictitious domain method for topology optimization in which the boundary of the optimal design is identified by a level
    set of the topological derivative field of the objective function
    that satisfies a given resource constraint. The response analysis
    employs a smooth and consistent projection of the geometry onto the
    fictitious analysis domain. We use a simple fixed-point iteration
    algorithm to solve the optimization problem. The geometry
    projection delivers smooth and accurate representations of the
    variable structural boundary. This enhances convergence of the
    optimization algorithm and supports the reintroduction of solid
    material in void regions, a critical requirement for robust topology
    optimization. Several examples for compliance
    minimization subject to a volume resource constraint have been solved.
    StatusFinished
    Effective start/end date01/01/200531/12/2006