Dr Lukasz Kaczmarczyk
- Lecturer (Infrastructure and Environment)
telephone: 3305348
email: Lukasz.Kaczmarczyk@glasgow.ac.uk
Biography
I have been a lecturer at the Department of Civil Engineering at the University of Glasgow since September 2010. I graduated with Civil Engineering degree, specializing in Computational Mechanics, form Cracow University of Technology, Poland. My doctoral studies were undertaken at the same institution, which I defended with distinction in 2006. My PhD thesis was entitled “Numerical analysis of multi-scale problems in mechanics of heterogeneous materials”.
Research Interests
My main research interest is computational mechanics, with the current focus on modeling of quasi-brittle materials. I am particularly interested in approximation methods and solution techniques which are suitable for analysis of materials with evolving geometries, f.e. fracturing, defragmentation, bone growth and remodeling, etc. I put emphasis on accuracy of approximation methods and implicit solutions strategies, although numerical efficiency of algorithms is important as well.
Numerical efficiency motivates development of methods tailored for distributed memory computers. This is a reason why High Performance Computing is an essential part of my research. In order to solve large scale problems I employ advanced numerical tools like:
1. A Mesh-Oriented datABase
2. PETSc
3. METIS/ParMETIS
YaFFEMS is an on going project to develop a parallel implementation of the Finite Element Method suitable for large scale computations. The project was initialized during an EPSRC project. Our focus is multi-scale analysis which is extremely demanding on computational resources. Therefore our strategy from the beginning of this project was to develop appropriate computational tools that could take maximum advantage of high performance computing facilities. On the other hand we put effort to apply fast semi-analytical solutions for fine scale microstructures.
The Bone Remodeling project focuses on development of an efficient and realistic model for analysis of the bone growth. Its goal is to provide a tool for researchers from Scottish Centre for Innovation in Spinal Cord Injury.
Co-rotational Formulation is a work in progress, focusing on a Lagrange formulation for the analysis of fracturing and defragmenting bodies. In the Lagrange Co-rotational (CR) formulation strains are assumed to be small while the magnitude of rotations from the reference configuration is not restricted. As far as I know this is the first successful attempt of implementation this methodology for 3D solids. Although here the Lagrange CR formulation is applied to Hybrid-Stress Trefftz elements, the presented methodology can be applied to an arbitrary discretization technique, e.g. finite volume methods and lattice models, discreet element methods, etc. Efficiency of the CR formulation can be utilized in post-buckling stability analysis, damage and fracture mechanics, modeling of dynamic fragmentation of bodies made from quasi-brittle materials, solid fluid interaction, analysis of post-stressed structures and discreet body dynamics.
Configurational Stresses is a measure introduced by Elsheby (1975) which enables us to describe a change of system energy as a result of geometry evolution. I work on yet unexplored possibility of using configurational stresses to describe trabecular bone growth and crack propagation. An exciting prospect is to approximate the configurational stresses with the use Hybrid Trefftz Elements.
Droplet model. Inspired by the experimental work of our colleagues form the Bioelectronics group. I am developing a numerical model of a droplet, tailored for analysis of acoustic streaming.
Engineering Mechanics 1
Structural Mechanics 2
Nonlinear Mechanics