Modelling and numerical methods for phase-field fracture in continuum mechanics

Additional Info

  • ECTS credits: 5
  • University: Leibniz University Hannover
  • Semester: 3
  • Objectives:

     

    This course is devoted to numerical modeling of phase-field fracture problems and more
    general numerical modeling of coupled variational inequality systems. Besides a bit recapitulation of continuum mechanics,
    modern nonlinear and linear algorithms are introduced and analyzed.

  • Topics:

     

    VI (variational inequality) and propagating interfaces
    Relation to obstacle problems
    Basic from continuum mechanics
    Phase-field fracture systems
    Treating crack irreversiblity: Penalization and primal-dual active set methods
    Nonlinear solution schemes
    Numerical analysis for a simplified problem

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