Reliable Simulation in the Mechanics of Materials and Structures


Dr.-Ing. Y. Heider

M.Sc. S. Mostafavi

Lecture2 SWS
Discussion Section2 SWS 
Final ExamTo be arranged
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Course content:

  • Verification, validation and prediction: general definitions within the field of Computational Mechanics.
  • Abstraction and idealization of a physical problem: based on examples, the processes of abstraction and idealization from a real world problem into a mathematical model (depending on the aim of simulation) will be clarified. The influence of faulty idealization will be thoroughly discussed.
  • Verification of a model: to ensure the accuracy of the numerical implementation of the mathematical model, the results will be compared with a reference solution (e.g. analytical solution).
  • Factors affecting the FEM implementation: time integration scheme (explicit or implicit) , time step size, element type, static or dynamic model, linear or non-linear model geometric non-linearity, etc. .
  • Validation of a model: by comparison of a numerical model with reality (e.g. experimental results, complete systems).
  • Solving coupled problems: suitable solution strategies for weakly and strongly coupled problems. Example: differential equations of a coupled spring, damper and mass system.
  • Example of strongly coupled problems: multiphase porous media.
  • Introduction to multi-scale modeling: Effect of the time scale and space dimensions on the choice of the modeling method (nano- to micro- to macro-scale).
    Example: applying the molecular-dynamics simulation to solve problems on the nano-scale.