Research

My research work was related to the development of computational methods in the field of multiscale methods and numerical homogenization, that direct applications can be found in modelling advanced materials. My studies were focused on the application of an innovative multiscale finite element method (MsFEM) in the analysis of heterogeneous materials, such as composites, metamaterials, and objects produced using 3D printing technology. My thesis advisor was Prof. Witold Cecot from the Cracow University of Technology.

Among my most significant achievements are original modifications of the MsFEM method: the introduction of B-spline functions into the method's algorithm and anisotropic approximation for modeling beam and sandwich-type plate structures; the application of a three-scale approach in modeling 3D printed elements. Additionally, I conducted experimental tests to validate the numerical approach.

Below, I provide lists of my publications, conference presentations, courses, and my doctoral thesis.

Dryzek M., Cecot W., Tekieli M.: Experimental and multiscale computational static and dynamic study of 3D printed elements with mesostructure, Finite Elements in Analysis and Design, 215:103876, 2023

Dryzek M., Cecot. W.: The iterative multiscale finite element method for sandwich beams and plates, International Journal for Numerical Methods in Engineering, 122:6714–6735, 2021

Dryzek M., Cecot W.: A coupling of multiscale finite element method and isogeometric analysis, International Journal for Multiscale Computational Engineering, 18:439–454, 2020

Dryzek J., Horodek P., Dryzek M.: Damage range in swift Xe²⁶⁺ ion irradiated polycrystalline iron and silver studied by positron annihilation technique, long-range effect, Applied Physics A-Materials Science & Processing, 124:451, 2018

Dryzek M., Dryzek E.: Positron annihilation lifetime spectroscopy of ABS objects manufactured by fused deposition modelling, Acta Physica Polonica A, Polish Academy of Sciences, 132:1506-1508, 2017

Dryzek M.: Symulacja energetyczna domu pasywnego: dostosowanie typowego projektu domu jednorodzinnego do standardów pasywnych, Budownictwo Zrównoważone, Wydawnictwo Uczelniane Uniwersytetu Technologiczno-Przyrodniczego, Bydgoszcz, 2016, str. 61-71, Monografia pokonferencyjna

Dryzek M., Cecot W.: The multiscale finite element method for sandwich beams and plates, 24^th International Conference on Computer Methods in Mechanics and 42^nd Solid Mechanics Conference CMM-SolMech, Świnoujście

Dryzek M., Cecot W.: Higher order multiscale finite element analysis of orthotropic materials, 23^rd International Conference on Computer Methods in Mechanics CMM, Kraków

Cecot W., Oleksy M., Klimczak M., Dryzek M.: Multiscale FEM with DPG methodology, XXVI Conference on Computer Methods in Materials Technology KomPlasTech 2019, Zakopane

Dryzek M., Cecot W.: Development of the multiscale finite element method for the analysis of advanced materials, 41^st Solid Mechanics Conference SOLMECH 2018, Warszawa

Dryzek M., Dryzek E.: Positron annihilation lifetime spectroscopy of ABS objects manufactured by fused deposition modelling, 12^th International Workshop on Positron and Positronium Chemistry, Lublin

Dryzek M.: Symulacja energetyczna domu pasywnego: dostosowanie typowego projektu domu jednorodzinnego do standardów pasywnych, I Ogólnopolska Konferencji Studentów i Doktorantów Budownictwo Zrównoważone, Bydgoszczy

Plasticity in Geomechanics, Coordinators: Prof. Stanisław Pietruszczak, Prof. Andrzej Truty; Cracow University of Technology, Krakow, 4-5.07.2022

The Art of Modeling in Computational Solid Mechanics, Coordinators: Prof. Jörg Schröder, Prof. Peter Wriggers; International Centre for Mechanical Sciences (CIMS), Udine, 7-11.10.2019

The ECCOMAS Advance Course - Mathematical Theory of Finite Elements 2019, Coordinators: Prof. Leszek Demkowicz, Prof. Jerzy Rojek; Institute of Fundamental Technological Research, Polish Academy of Science, Warsaw, 24-28.06.2019

Nanomechanika Materiałów i Struktur Materialnych, Coordinators: Prof. Gwidon Szefer, Prof. Jerzy Pamin; Cracow University of Technology, Krakow, 6-7.10.2016