Teilprojekt P11 - Fracture Control by Material Optimization

Third Party Funds Group - Sub project

Overall project details

Overall project: Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)

Overall project speaker:
Prof. Dr.-Ing. Paul Steinmann (Lehrstuhl für Technische Mechanik)

Project Details

Project leader:
Prof. Dr. Michael Stingl
PD Dr. Julia Mergheim

Contributing FAU Organisations:
Professur für Mathematische Optimierung
Technische Fakultät
Zentralinstitut für Scientific Computing (ZISC)

Funding source: DFG / Graduiertenkolleg (GRK)
Acronym: GRK2423 - P11
Start date: 02/01/2019
End date: 30/06/2023

Research Fields

Material Mechanics
Lehrstuhl für Technische Mechanik
Multiscale mechanics
Lehrstuhl für Technische Mechanik
Lehrstuhl für Technische Mechanik

Abstract (technical / expert description):

In previous works, the dependence of
failure mechanisms in composite materials like debonding of the
matrix-fibre interface or fibre breakage have been discussed.  The
underlying model was based on specific cohesive zone elements, whose
macroscopic properties could be derived from DFT. It has been shown that
the dissipated energy could be increased by appropriate choices of
cohesive parameters of the interface as well as aspects of the fibre.
However due to the numerical complexity of applied simulation methods
the crack path had to be fixed a priori. Only recently models allow
computing the full crack properties at macroscopic scale in a
quasi-static scenario by the solution of a single nonlinear variational
inequality for a
given set of material parameters and thus model based optimization of
the fracture properties can be approached.

The goal of the project is to develop an optimization method, in the
framework of which crack properties (e.g. the crack path) can be
optimized in a mathematically rigorous way. Thereby material properties
of matrix, fibre and interfaces should serve as optimization variables.

Last updated on 2019-19-03 at 14:59