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Domain Decomposition and Parallel Direct Solvers as an Adaptive Multiscale Strategy for Damage Simulation in Quasi-Brittle Materials

  • Frank P. X. EverdijEmail author
  • Oriol Lloberas-Valls
  • Angelo Simone
  • Daniel J. Rixen
  • Lambertus J. Sluys
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)

Abstract

We employ domain decomposition to 2D systems representing concrete-like materials by describing the material across multiple scales with different models and meshes. This enables us to perform failure mechanics using nonlinear material models such as the gradient-enhanced damage (GD) model. Early results of classical FETI show that heterogeneous materials combined with the GD model necessitates new developments in preconditioners for solving the interface problem iteratively. Alternatively, recent advancements in parallel direct solvers and the ubiquity of computer memory enables solving domain decomposition problems through the fully assembled matrix. Speed and memory usage of various solvers will be presented.

Keywords

Domain Decomposition Damage Evolution Iterative Solver Interface Transition Zone Full Numerical Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Frank P. X. Everdij
    • 1
    Email author
  • Oriol Lloberas-Valls
    • 2
  • Angelo Simone
    • 1
  • Daniel J. Rixen
    • 3
  • Lambertus J. Sluys
    • 1
  1. 1.Faculty of Civil Engineering and GeosciencesDelft University of TechnologyDelftThe Netherlands
  2. 2.International Center for Numerical Methods in Engineering (CIMNE)BarcelonaSpain
  3. 3.Faculty of Mechanical EngineeringTechnische Universität MünchenGarchingGermany

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