PhD Defence by Hansotto Kristiansen "Topology optimization of transient problems and finite strain"

This thesis demonstrates the application of topology optimization for transient structural problems that include frictional contact. This work is largely divided into three parts that together describe the natural progression of the project. It is important to crawl before you walk and walk before you run. Therefore, this work takes its offset from a static example found in the literature. We use this to ensure that the developed formulation is capable of utilizing potential contact.

This dissertation documents the development from the static benchmark example to a transient framework capable of accounting for the potential frictional contact between an elastic domain and a rigid obstacle. Within the static setting, we demonstrate compliance minimization with potential contact and pressure uniformity optimization. A transient example simulates a drop test and demonstrates the optimization of a protective shell around a payload.

A second-order Krylov reduction method is investigated to decrease the computational cost associated with the time-integration of transient linear problems, and speedup factors of approximately three orders of magnitude are demonstrated. Finally, a framework based upon C++ and PETSc enables a significant increase in attainable spatial problem size. The framework is to be made freely available online in the interest of the scientific community. I hope that it can serve as a stepping stone for future research within transient structural optimization.

Supervisor:
Associate Professor Niels Aage, DTU Mechanical Engineering

Co-supervisors:
Professor Ole Sigmund, DTU Mechanical Engineering
Senior Researcher Konstantinos Poulios, DTU Mechanical Engineering

Examiners:
Professor Jakob Søndergaard Jensen, DTU Mechanical Engineering
Associate Professor Oded Amir, Technion, Haifa, Israel
Professor Niclas Strömberg, Örebro University, Sweden

Chairman:
Associate Professor Casper Schousboe Andreasen, DTU Mechanical Engineering

 

Tidspunkt

tir 02 mar 21
13:00 - 17:00

Arrangør

DTU Mekanik

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