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Polish Academy of Sciences

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Adam Mrozek

AGH University of Science and Technology (PL)

Doctoral thesis
2009-09-23 Kontynualno-molekularny model ośrodka materialnego w analizie komputerowej odkształcalnych układów mechanicznych  (PŚl)
supervisor -- Tadeusz Burczyński, PŚl
 

Recent publications
1.  Akhter M.J., Kuś W., Mrozek A., Burczyński T., Mechanical properties of monolayer MoS2 with randomly distributed defects, Materials, ISSN: 1996-1944, DOI: 10.3390/ma13061307, Vol.13, No.6, pp.1307-1-14, 2020

Abstract:
The variation of elastic constants stiffness coefficients with respect to different percentage ratios of defects in monolayer molybdenum disulfide (MLMoS2) is reported for a particular set of atomistic nanostructural characteristics. The common method suggested is to use conventional defects such as single vacancy or di vacancy, and the recent studies use stone-walled multiple defects for highlighting the differences in the mechanical and electronic properties of 2D materials. Modeling the size influence of monolayer MoS2 by generating defects which are randomly distributed for a different percentage from 0% to 25% is considered in the paper. In this work, the geometry of the monolayer MoS2 defects modeled as randomized over the domain are taken into account. For simulation, the molecular static method is adopted and study the effect of elastic stiffness parameters of the 2D MoS2 material. Our findings reveals that the expansion of defects concentration leads to a decrease in the elastic properties, the sheer decrease in the elastic properties is found at 25%. We also study the diffusion of Molybdenum (Mo) in Sulphur (S) layers of atoms within MoS2 with Mo antisite defects. The elastic constants dwindle in the case of antisite defects too, but when compared to pure defects, the reduction was to a smaller extent in monolayer MoS2. Nevertheless, the Mo diffusion in sulfur gets to be more and more isotropic with the increase in the defect concentrations and elastic stiffness decreases with antisite defects concentration up to 25%. The distribution of antisite defects plays a vital role in modulating Mo diffusion in sulfur. These results will be helpful and give insights in the design of 2D materials.

Keywords:
mono-layer MoS2, mechanical properties, molecular statics/dynamics, defects, random distributed defects

Affiliations:
Akhter M.J. - other affiliation
Kuś W. - Silesian University of Technology (PL)
Mrozek A. - AGH University of Science and Technology (PL)
Burczyński T. - IPPT PAN
2.  Maździarz M., Mrozek A., Kuś W., Burczyński T., Anisotropic-Cyclicgraphene: A New Two-Dimensional Semiconducting Carbon Allotrope, Materials, ISSN: 1996-1944, DOI: 10.3390/ma11030432, Vol.11, No.3, pp.432, 2018

Abstract:
A potentially new, single-atom thick semiconducting 2D-graphene-like material, called Anisotropic-cyclicgraphene, has been generated by the two stage searching strategy linking molecular and ab initio approach. The candidate was derived from the evolutionary-based algorithm and molecular simulations was then profoundly analysed using first-principles density functional theory from the structural, mechanical, phonon, and electronic properties point of view. The proposed polymorph of graphene (rP16-P1m1) is mechanically, dynamically, and thermally stable and can achieve semiconducting with a direct band gap of 0.829 eV.

Keywords:
carbon, graphene, graphyne, ab initio calculations, Semiconductors

Affiliations:
Maździarz M. - IPPT PAN
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
Burczyński T. - IPPT PAN
3.  Maździarz M., Mrozek A., Kuś W., Burczyński T., First-principles study of new X-graphene and Y-graphene polymorphs generated by the two stage strategy, MATERIALS CHEMISTRY AND PHYSICS, ISSN: 0254-0584, DOI: 10.1016/j.matchemphys.2017.08.066, Vol.202, pp.7-14, 2017

Abstract:
Two potentially new, 2D-graphene-like materials have been generated by the two stage searching strategy combining molecular and ab initio approach. The two candidates obtained from the evolutionary based algorithm and molecular calculations were then in depth analysed using first-principles Density Functional Theory from the mechanical, structural, phonon and electronic properties point of view. Both proposed polymorphs of graphene (oP8-P2mm) are mechanically and dynamically stable and can be metallic-like.

Keywords:
Carbon, Graphene, Ab initio calculations, Mechanical properties, Elastic properties

Affiliations:
Maździarz M. - IPPT PAN
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
Burczyński T. - IPPT PAN
4.  Mrozek A., Kuś W., Burczyński T., Method for determining structures of new carbon-based 2D materials with predefined mechanical properties, INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, ISSN: 1543-1649, DOI: 10.1615/IntJMultCompEng.2017020429, Vol.15, No.5, pp.379-394, 2017

Abstract:
The following article presents the description and application of an algorithm for optimal searching for the new stable atomic arrangements of two-dimensional graphenelike carbon lattices with predefined mechanical properties. The proposed method combines the evolutionary algorithm and the conjugate-gradient optimization. The main goal of the optimization is to find stable arrangements of carbon atoms placed in the unit cell with imposed periodic boundary conditions, which reveal desired mechanical properties. Examples of the newly obtained models of the flat, carbon materials are presented. Their mechanical properties are additionally validated during the simulation of the tensile tests using molecular dynamics.

Keywords:
2D atomic structures, graphenelike materials, hybrid algorithm, evolutionary algorithm, mechanical properties

Affiliations:
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
Burczyński T. - IPPT PAN
5.  Burczyński T., Mrozek A., Kuś W., Computational Intelligent Design of 2D Nanostructures Based on Carbon, Journal of the Serbian Society for Computational Mechanics, ISSN: 1820-6530, DOI: 10.24874/jsscm.2017.11.01.09, Vol.11, No.1, pp.94-96, 2017

Abstract:
The pap er describes an application of the hybrid intelligent algorithm to optimal searching for new, stable atomic arrangements of 2D graphene -like carbon lattices. The proposed approach combines the parallel evolutionary algorithm and the conjugated -gradient optimization technique. The main goal is to find stable arrangements of carbon atoms under certain imposed condi tions such as density, shape and size of the unit cell and also predefined mechanical properties. The nanostructure is considered a discrete atomic model and interactions between atoms are modeled using the AIREBO potential, especially developed for carbon. The parallel approach is used in computations. Validation of the obtaine d results and examples of new models of the new grapheme -like materials are presented

Keywords:
Hybrid intelligent algorithm, 2D nanostructures, new grapheme-like materials

Affiliations:
Burczyński T. - IPPT PAN
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
6.  Kuś W., Mrozek A., Burczyński T., Memetic Optimization of Graphene-Like Materials on Intel PHI Coprocessor, Lecture Notes in Artificial Intelligence, ISSN: 0302-9743, DOI: 10.1007/978-3-319-39378-0_35, Vol.9692, pp.401-410, 2016

Abstract:
The paper is devoted to the optimization of energy of carbon based atomic structure with use of the memetic algorithm. The graphene like atoms structure is coded into floating point genes and underwent evolutionary changes. The global optimization algorithm is supported by local gradient based improvement of chromosomes. The optimization problem is solved with the use of Intel PHI (Intel Many Integrated Core Architecture – Intel MIC). The example of optimization and speedup measurement for parallel optimization are given in the paper.

Keywords:
Parallel computing, Intel PHI, Optimization, Graphene-like materials

Affiliations:
Kuś W. - Silesian University of Technology (PL)
Mrozek A. - AGH University of Science and Technology (PL)
Burczyński T. - IPPT PAN
7.  Mrozek A., Kuś W., Burczyński T., Nano level optimization of graphene allotropes by means of a hybrid parallel evolutionary algorithm, COMPUTATIONAL MATERIALS SCIENCE, ISSN: 0927-0256, DOI: 10.1016/j.commatsci.2015.05.002, Vol.106, pp.161-169, 2015

Abstract:
The article describes the application of a Hybrid Parallel Evolutionary Algorithm (HPEA) to optimal searching for new, stable atomic arrangements of two-dimensional graphene-like carbon lattices. The proposed approach combines the parallel evolutionary algorithm and the conjugated-gradient optimization technique. The main goal of the optimization is to find stable arrangements of carbon atoms under certain imposed conditions (e.g. density, shape and size of the unit cell). The fitness function is formulated as the total potential energy of an atomic system. The optimized structure is considered as a discrete atomic model and interactions between atoms are modeled using the AIREBO potential, especially developed for carbon and hydrocarbon materials. The parallel approach used in computations allows significant reduction of computation time. Validation of the obtained results and examples of the models of the new 2D materials obtained using the described algorithm are presented, along with their mechanical properties.

Keywords:
Graphene-like materials, Optimization at the nano level, AIREBO potential, Evolutionary algorithm, Parallel computing

Affiliations:
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
Burczyński T. - IPPT PAN
8.  Mrozek A., Burczyński T., Computational models of polycrystalline materials, INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, ISSN: 1543-1649, DOI: 10.1615/IntJMultCompEng.2015013090, Vol.13, No.2, pp.145-161, 2015

Abstract:
Methods of creating digital material representations of polycrystalline structures based on molecular dynamics (MD) simulations are presented in this paper. All simulations are performed using the massively parallel MD solver and the canonical ensemble. The simple pair-wise model and the more sophisticated many-body atomic potential model are utilized. All of the unique features and parameters (e.g., size and crystallographic orientation grain) of each approach, along with the results of the simulations, are discussed in detail and illustrated with proper numerical examples. Additionally, a comparison of the mechanical properties between the ideal monocrystal structure and a series of obtained polycrystalline structures is included, along with a description of the algorithm used in the computation of the mechanical properties and the stress-strain relationships.

Keywords:
nanomechanics, mono- and polycrystals, molecular dynamics, digital material representation, mechanical properties

Affiliations:
Mrozek A. - AGH University of Science and Technology (PL)
Burczyński T. - IPPT PAN
9.  Mrozek A., Kuś W., Burczyński T., Hybrid parallel evolutionary algorithm in optimization of 2D grapehene-like materials, COMPUTER METHODS IN MATERIALS SCIENCE / INFORMATYKA W TECHNOLOGII MATERIAŁÓW, ISSN: 1641-8581, Vol.15, No.1, pp.103-110, 2015

Abstract:
Development and application of the hybrid parallel evolutionary-conjugated gradient algorithm for searching for new, stable atomic arrangements of the two-dimensional graphene-like carbon lattices was described in this paper. The main goal of the optimization is to find stable arrangements of carbon atoms under imposed conditions (e.g. density, shape and size of the unit cell). Such configurations correspond to the minimal values of the total potential energy of the atomic system. Thus, the fitness function is formulated as the total potential energy of the atoms. Interactions between carbon atoms are modeled using Adaptive Intermolecular Reactive Bond Order potential. The parallel approach used in computations allows significant reduction of computation time. Validation of the achieved results and example of the model of new 2D material obtained using presented method were presented in this paper. The numerical scalability tests of the algorithm were performed on the IBM BlueGene/Q supercomputer.

Keywords:
nano-scale modeling, carbon materials, AIREBO potential, evolutionary algorithm, conjugate gradient minimization, parallel computing

Affiliations:
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
Burczyński T. - IPPT PAN

List of recent monographs
1. 
Burczyński T., Pietrzyk M., Kuś W., Madej Ł., Mrozek A., Rauch Ł., Multiscale Modelling and Optimisation of Materials and Structures, Wiley, pp.1-512, 2022

Conference papers
1.  Mrozek A., Kuś W., Burczyński T., Modelling of molybdenum-based 2D materials, CMM 2017, 22nd International Conference on Computer Methods in Mechanics, 2017-09-13/09-16, Lublin (PL), DOI: 10.1063/1.5019036, Vol.1922, pp.030002-1-8, 2018

Abstract:
The flat, two dimensional materials play important role in the research and industrial applications in the last 15 years. The new materials with flat atomic structures are discovered almost every month. The focus of the paper is on the discrete modellingof the single layer molybdenum disulphide based material (SLMoS2). Two methods, based on the molecular statics and molecular dynamics of estimation of materials properties and numerical simulations at the nanolevel are described and discussed.

Affiliations:
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
Burczyński T. - IPPT PAN

Conference abstracts
1.  Burczyński T., Kuś W., Mrozek A., INTELLIGENT DESIGN OF 2D NANOSTRUCTURES BASED ON MOLYBDENUM, 8th European Congress on Computational Methods in Applied Sciences and Engineering, 2022-06-05/06-09, Oslo (NO), pp.1, 2022
2.  Burczyński T., Kuś W., Mrozek A., Computational Intelligence in Design of New Nanostructures, Congress on Numerical Methods in Engineering CMN2022 , 2022-09-12/09-14, Las Palmas de Gran Canaria (ES), pp.1, 2022
3.  Burczyński T., Kuś W., Maździarz M., Mrozek A., DESIGN OF NANOSTRUCTURES BASED ON MOLYBDENUM, CMM-SolMech 2022, 24th International Conference on Computer Methods in Mechanics; 42nd Solid Mechanics Conference, 2022-09-05/09-08, Świnoujście (PL), No.268, pp.1-1, 2022
4.  Burczyński T., Kuś W., Maździarz M., Mrozek A., Intelligent design of new 2D nano-materials, 25th International Congress of Theoretical and Applied Mechanics, 2021-08-22/08-27, Montreal (CA), pp.1-2, 2021
5.  Kuś W., Mrozek A., Burczyński T., Akhter M.J., Optimal design of mechanical properties of MoS2 nanostructures, WCCM, 14th World Congress in Computational Mechanics, ECCOMAS Congress 2020, 2021-01-11/01-15, Paris (virtual) (FR), pp.1, 2020

Keywords:
optimization, material properties, MoS2, molecular statics

Affiliations:
Kuś W. - Silesian University of Technology (PL)
Mrozek A. - AGH University of Science and Technology (PL)
Burczyński T. - IPPT PAN
Akhter M.J. - IPPT PAN
6.  Burczyński T., Kuś W., Mrozek A., Optimization of 2D materials based on Molybdenum, CNM 2019, 6th CONFERENCE ON NANO- AND MICROMECHANICS, 2019-07-03/07-05, Rzeszów (PL), pp.1-2, 2019
7.  Kuś W., Akhter M.J., Mrozek A., Burczyński T., Bioinspired optimization of mos2 2d material with presence of defects, PCM-CMM, 4th Polish Congress of Mechanics, 23rd International Conference on Computer Methods in Mechanics, 2019-09-08/09-12, Kraków (PL), pp.1, 2019
8.  Burczyński T., Maździarz M., Mrozek A., Kuś W., Designing of new 2d semiconducting carbon allotrope as an inverse problem, IPM 2019, 5th ECCOMAS Thematic Conference on Inverse Problems Methods, 2019-05-22/05-24, Rzeszów-Kombornia (PL), pp.1-2, 2019
9.  Burczyński T., Kuś W., Maździarz M., Mrozek A., Computational intelligence in design of new nanomaterials, Computational Sciences and AI in Industry, 2019-06-12/06-14, Jyvaskyla (FI), pp.1, 2019
10.  Mrozek A., Kuś W., Burczyński T., Bioinspired optimization of mechanical properties of two-phase single-layered mos2 structures, PCM-CMM, 4th Polish Congress of Mechanics, 23rd International Conference on Computer Methods in Mechanics, 2019-09-08/09-12, Kraków (PL), pp.1, 2019
11.  Kuś W., Akhter M.J., Mrozek A., Burczyński T., The influence of defects on mechanical properties in molybdenum disulfide flat material, KOMPLASTECH 2019, XXVI CONFERENCE ON COMPUTER METHODS IN MATERIALS TECHNOLOGY, 2019-01-13/01-16, Zakopane (PL), pp.1-2, 2019
12.  Burczyński T., Kuś W., Maździarz M., Mrozek A., Molecular and Ab-initio Approaches in Computational Design of New 2D Nano-Structures, COUPLED 2019, VIII International Conference on Coupled Problems in Science and Engineering, 2019-06-03/06-05, Sitges (ES), pp.1, 2019
13.  Mrozek A., Kuś W., Burczyński T., Inverse problem for design of new carbon-based 2D materials with predifined mechanical properties, ECCOMAS International Conference IPM 2017 on Inverse Problems in Mechanics of Structure and Materials, 2017-05-31/06-02, Rzeszów-Krasiczyn (PL), pp.1-2, 2017
14.  Burczyński T., Mrozek A., Kuś W., Design of New Flat Nanomaterials Based on Carbon, NanoWorld Conference, 2017-04-03/04-05, Boston (US), pp.1, 2017
15.  Mrozek A., Kuś W., Burczyński T., Modelling of molybdenum-based 2D materials, CMM 2017, 22nd International Conference on Computer Methods in Mechanics, 2017-09-13/09-16, Lublin (PL), pp.MS14-27-28, 2017

Abstract:
The flat, two dimensional materials play important role in the research and industrial applications in the last 15 years. The new materials with flat atomic structures are discovered every month. The focus of the paper is on the modelling of the single layer molybdenum disulphide based material. The numerical simulations and mechanical material properties are described and discussed.

Keywords:
molybdenum, two dimensional materials, molecular modelling, MoS2

Affiliations:
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
Burczyński T. - IPPT PAN
16.  Burczyński T., Mrozek A., Kuś W., Generation of graphene-like atoms structures by means of memetic algorithms, ECCOMAS 2016, European Congress on Computational Methods in Applied Sciences and Engineering, 2016-06-05/06-10, Hersonissos (GR), No.9447, pp.1, 2016

Keywords:
carbon nano-structures, atom structures, memetic algorithms

Affiliations:
Burczyński T. - other affiliation
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
17.  Burczyński T., Mrozek A., Kuś W., Computational models of new graphene-like nano-structures, SolMech 2016, 40th Solid Mechanics Conference, 2016-08-29/09-02, Warszawa (PL), No.P253, pp.1-2, 2016

Keywords:
carbon nano-structures, conjugated gradient method, evolutionary algorithm

Affiliations:
Burczyński T. - other affiliation
Mrozek A. - AGH University of Science and Technology (PL)
Kuś W. - Silesian University of Technology (PL)
18.  Burczyński T., Mrozek A., Atomistic models of polycrystalline and porous structures, SolMech 2014, 39th Solid Mechanics Conference, 2014-09-01/09-05, Zakopane (PL), pp.189-190, 2014

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