Partner: Wacław Kuś 

Doctoral thesis
20021031  Połączona metoda elementów brzegowych i skończonych w optymalizacji układów mechanicznych (PŚl)
 1050 
Recent publications
1.  Akhter M.J., Kuś W.^{♦}, Mrozek A.^{♦}, Burczyński T., Mechanical properties of monolayer MoS2 with randomly distributed defects, Materials, ISSN: 19961944, DOI: 10.3390/ma13061307, Vol.13, No.6, pp.1307114, 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 stonewalled 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:monolayer MoS2, mechanical properties, molecular statics/dynamics, defects, random distributed defects Affiliations:
 
2.  Maździarz M., Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., AnisotropicCyclicgraphene: A New TwoDimensional Semiconducting Carbon Allotrope, Materials, ISSN: 19961944, DOI: 10.3390/ma11030432, Vol.11, No.3, pp.432, 2018 Abstract: A potentially new, singleatom thick semiconducting 2Dgraphenelike material, called Anisotropiccyclicgraphene, has been generated by the two stage searching strategy linking molecular and ab initio approach. The candidate was derived from the evolutionarybased algorithm and molecular simulations was then profoundly analysed using firstprinciples density functional theory from the structural, mechanical, phonon, and electronic properties point of view. The proposed polymorph of graphene (rP16P1m1) 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:
 
3.  Maździarz M., Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., Firstprinciples study of new Xgraphene and Ygraphene polymorphs generated by the two stage strategy, MATERIALS CHEMISTRY AND PHYSICS, ISSN: 02540584, DOI: 10.1016/j.matchemphys.2017.08.066, Vol.202, pp.714, 2017 Abstract: Two potentially new, 2Dgraphenelike 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 firstprinciples Density Functional Theory from the mechanical, structural, phonon and electronic properties point of view. Both proposed polymorphs of graphene (oP8P2mm) are mechanically and dynamically stable and can be metalliclike. Keywords:Carbon, Graphene, Ab initio calculations, Mechanical properties, Elastic properties Affiliations:
 
4.  Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., Method for determining structures of new carbonbased 2D materials with predefined mechanical properties, INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, ISSN: 15431649, DOI: 10.1615/IntJMultCompEng.2017020429, Vol.15, No.5, pp.379394, 2017 Abstract: The following article presents the description and application of an algorithm for optimal searching for the new stable atomic arrangements of twodimensional graphenelike carbon lattices with predefined mechanical properties. The proposed method combines the evolutionary algorithm and the conjugategradient 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:
 
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: 18206530, DOI: 10.24874/jsscm.2017.11.01.09, Vol.11, No.1, pp.9496, 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 graphemelike materials Affiliations:
 
6.  Kuś W.^{♦}, Mrozek A.^{♦}, Burczyński T., Memetic Optimization of GrapheneLike Materials on Intel PHI Coprocessor, Lecture Notes in Artificial Intelligence, ISSN: 03029743, DOI: 10.1007/9783319393780_35, Vol.9692, pp.401410, 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, Graphenelike materials Affiliations:
 
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: 09270256, DOI: 10.1016/j.commatsci.2015.05.002, Vol.106, pp.161169, 2015 Abstract: The article describes the application of a Hybrid Parallel Evolutionary Algorithm (HPEA) to optimal searching for new, stable atomic arrangements of twodimensional graphenelike carbon lattices. The proposed approach combines the parallel evolutionary algorithm and the conjugatedgradient 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:Graphenelike materials, Optimization at the nano level, AIREBO potential, Evolutionary algorithm, Parallel computing Affiliations:
 
8.  Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., Hybrid parallel evolutionary algorithm in optimization of 2D grapehenelike materials, COMPUTER METHODS IN MATERIALS SCIENCE / INFORMATYKA W TECHNOLOGII MATERIAŁÓW, ISSN: 16418581, Vol.15, No.1, pp.103110, 2015 Abstract: Development and application of the hybrid parallel evolutionaryconjugated gradient algorithm for searching for new, stable atomic arrangements of the twodimensional graphenelike 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:nanoscale modeling, carbon materials, AIREBO potential, evolutionary algorithm, conjugate gradient minimization, parallel computing Affiliations:
 
9.  Dziatkiewicz J.^{♦}, Kuś W.^{♦}, Majchrzak E.^{♦}, Burczyński T.^{♦}, Turchan Ł.^{♦}, Bioinspired Identification of Parameters in Microscale Heat Transfer, INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, ISSN: 15431649, DOI: 10.1615/IntJMultCompEng.2014007963, Vol.12, No.1, pp.7989, 2014 Abstract: The paper is devoted to the identification of microscale heattransfer parameters. The numerical modeling of shortpulse laser interaction with thin metal films is considered. The hyperbolic twotemperature model describing the temporal and spatial evolution of the lattice and electrons temperatures in the irradiated metal is applied. This model consists of four equations: two equations concern the electron and lattice temperatures; the later ones determine the dependencies between heat fluxes and temperatures. The shortpulse laser interaction with the film is taken into account by introducing an internal volumetric heat source to the equation describing the electron temperature. The equations concerning the electrons and lattice temperatures are joined by coupling factor G, which characterizes the energy exchange between phonons and electrons. The relations between electron heat flux and electron temperature and between the lattice heat flux and lattice temperature contain the parameters ?e and ?l, respectively. The parameter ?e is the relaxation time of free electrons in metals; the parameter ?l is the relaxation time in phonon collisions. The onedimensional problem is analyzed. (Heat transfer in the direction perpendicular to the thin film is taken into account.) The nonflux conditions can be accepted at the front surface irradiated by a laser pulse and the back surface. The initial conditions are also assumed. The direct problem is solved by the explicit scheme of the finite difference method. The results of the computations are partially compared with the experimental data available in literature. The inverse problem discussed here consists in the simultaneous identification of three parameters, namely, the coupling factor G and relaxation times ?e and ?l. To solve such a problem, the electron temperature history at the irradiated surface of the thin film is taken into account. The inverse problems can be formulated as optimization problems and solved by means of bioinspired algorithms. The objective function is formulated on the basis of the known measured and numerical simulated values of temperature. The minimization of the objective function allows one to find the design variables vector, which may contain the parameters of the coupling factor and time coefficients in the presented case. The inverse problems are illdefined problems, and the identification may lead to different results with the same objective function value. The objective function can have many local minima, and therefore the bioinspired algorithm is used in the paper. Keywords:multiscale modeling, twotemperature model, identification, bioinspired algorithms Affiliations:
 
10.  Poteralski A.^{♦}, Szczepanik M.^{♦}, Ptaszny J.^{♦}, Kuś W.^{♦}, Burczyński T.^{♦}, Hybrid artificial immune system in identification of room acoustic properties, INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, ISSN: 17415977, DOI: 10.1080/17415977.2013.788174, Vol.21, No.6, pp.957967, 2013  
11.  Poteralski A.^{♦}, Szczepanik M.^{♦}, Dziatkiewicz G.^{♦}, Kuś W.^{♦}, Burczyński T.^{♦}, Immune identification of piezoelectric material constants using BEM, INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, ISSN: 17415977, DOI: 10.1080/17415977.2010.519027, Vol.19, No.1, pp.103116, 2011  
12.  Kuś W.^{♦}, Burczyński T.^{♦}, Identification of stochastic material properties in multiscale modelling, COMPUTER METHODS IN MATERIALS SCIENCE / INFORMATYKA W TECHNOLOGII MATERIAŁÓW, ISSN: 16418581, Vol.11, pp.524530, 2011 Abstract: The paper is devoted to multiscale identification of material properties in microscale. The identification process allows one to identify properties (like material constants, geometry) in microscale on the basis of measurements performed for macroscale. The presented approach assumes stochastic material properties in microscale. The identification problem is formulated as minimization of a functional which represents a distance between measured and theoretical values of displacements and strains. The Monte Carlo method combined with the finite element method is used to obtain theoretical displacements and strains values. The identification problem is solved with use of an evolutionary algorithm. Keywords:identification, stochastic, multiscale, FEM Affiliations:
 
13.  Burczyński T.^{♦}, Kuś W.^{♦}, Brodacka A.^{♦}, Multiscale modeling of osseous tissues, JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 14292955, Vol.48, No.4, pp.855870, 2010 Abstract: The paper presents a methodology of the multiscale bone mode ling in which the task of identification of material parameters plays the crucial role. A twoscale analysis of the bone is considered and the problem of identification, formulated as an inverse problem, is examined as an important stage of the modelling process. The human femur bone, built form cancellous and cortical bone, is taken as an example of an n osseous tissue, and the computational multiscale approach is considered. The methodology presented in the paper allows one to analyze the twoscale model with the use of computational homogenization. The representative volume element (RVE) is created for the microstructure of the basis of microCT scans. The macro and micro model analyses are performed by using the finite element method. The identification of trabeculae material parameters on the microlevel is considered as the minimization problem which is solved using evolutionary computing. Keywords:multiscale modeling of bone, computational homogenization, identification of material parameters Affiliations:
 
14.  Białecki R.A.^{♦}, Burczyński T.^{♦}, Długosz A.^{♦}, Kuś W.^{♦}, Ostrowski Z.^{♦}, Evolutionary shape optimization of thermoelastic bodies exchanging heat by convection and radiation, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, ISSN: 00457825, DOI: 10.1016/j.cma.2004.07.004, Vol.194, No.17, pp.18391859, 2005 Abstract: Shape optimization of heat conducting, elastic bodies subjected to thermal and standard loads is considered. Interaction of stress and temperature fields is modelled using the formulation of steady state thermoelasticity. The presence of heat radiation with mutual irradiation of the boundaries and the presence of shadow zones is taken into account. Evolutionary algorithm is used to evaluate the optimal shape. The boundary element method is applied to discretize the thermoelasticity, conduction and radiation problems. Keywords:Evolutionary algorithm, Shape optimization, Thermoelasticity, Radiation, Stress, BEM, Parallel computing Affiliations:

List of recent monographs
1. 633  Burczyński T., Kuś W.^{♦}, Beluch W.^{♦}, Długosz A.^{♦}, Poteralski A.^{♦}, Szczepanik M.^{♦}, Intelligent Computing in Optimal Design, Springer, pp.1237, 2020 
Conference papers
1.  Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., Modelling of molybdenumbased 2D materials, CMM 2017, 22nd International Conference on Computer Methods in Mechanics, 20170913/0916, Lublin (PL), DOI: 10.1063/1.5019036, Vol.1922, pp.03000218, 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:
 
2.  Szczepanik M.^{♦}, Poteralski A.^{♦}, Długosz A.^{♦}, Kuś W.^{♦}, Burczyński T.^{♦}, Optimization of thermomechanical structures using PSO, CMM 2011, 19th International Conference on Computer Methods in Mechanics, 20110509/0512, Warszawa (PL), pp.20417, 2011  
3.  Szczepanik M.^{♦}, Kuś W.^{♦}, Burczyński T.^{♦}, Swarm optimization of stiffeners locations in 2D structures, CMM 2011, 19th International Conference on Computer Methods in Mechanics, 20110509/0512, Warszawa (PL), DOI: 10.2478/v1017501200327, pp.17317, 2011 Abstract: The paper is devoted to an application of the swarm methods and the finite element method to optimization of the stiffeners location in the 2D structures (plane stress, bending plates and shells). The structures are optimized for the stress and displacement criteria. The numerical examples demonstrate that the method based on swarm computation is an effective technique for solving computer aided optimal design. Keywords:swarm algorithms, optimization, finite element method (FEM), bars, plane stress, bending plates, shells Affiliations:

Conference abstracts
1.  Burczyński T., Kuś W.^{♦}, Mrozek A.^{♦}, Optimization of 2D materials based on Molybdenum, CNM 2019, 6th CONFERENCE ON NANO AND MICROMECHANICS, 20190703/0705, Rzeszów (PL), pp.12, 2019  
2.  Burczyński T., Kuś W.^{♦}, Maździarz M., Mrozek A.^{♦}, Computational intelligence in design of new nanomaterials, Computational Sciences and AI in Industry, 20190612/0614, Jyvaskyla (FI), pp.1, 2019  
3.  Burczyński T., Kuś W.^{♦}, Maździarz M., Mrozek A.^{♦}, Molecular and Abinitio Approaches in Computational Design of New 2D NanoStructures, COUPLED 2019, VIII International Conference on Coupled Problems in Science and Engineering, 20190603/0605, Sitges (ES), pp.1, 2019  
4.  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, 20190522/0524, RzeszówKombornia (PL), pp.12, 2019  
5.  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, 20190113/0116, Zakopane (PL), pp.12, 2019  
6.  Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., Bioinspired optimization of mechanical properties of twophase singlelayered mos2 structures, PCMCMM, 4th Polish Congress of Mechanics, 23rd International Conference on Computer Methods in Mechanics, 20190908/0912, Kraków (PL), pp.1, 2019  
7.  Kuś W.^{♦}, Akhter M.J., Mrozek A.^{♦}, Burczyński T., Bioinspired optimization of mos2 2d material with presence of defects, PCMCMM, 4th Polish Congress of Mechanics, 23rd International Conference on Computer Methods in Mechanics, 20190908/0912, Kraków (PL), pp.1, 2019  
8.  Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., Modelling of molybdenumbased 2D materials, CMM 2017, 22nd International Conference on Computer Methods in Mechanics, 20170913/0916, Lublin (PL), pp.MS142728, 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:
 
9.  Mrozek A.^{♦}, Kuś W.^{♦}, Burczyński T., Inverse problem for design of new carbonbased 2D materials with predifined mechanical properties, ECCOMAS International Conference IPM 2017 on Inverse Problems in Mechanics of Structure and Materials, 20170531/0602, RzeszówKrasiczyn (PL), pp.12, 2017  
10.  Burczyński T., Mrozek A.^{♦}, Kuś W.^{♦}, Design of New Flat Nanomaterials Based on Carbon, NanoWorld Conference, 20170403/0405, Boston (US), pp.1, 2017  
11.  Burczyński T.^{♦}, Mrozek A.^{♦}, Kuś W.^{♦}, Generation of graphenelike atoms structures by means of memetic algorithms, ECCOMAS 2016, European Congress on Computational Methods in Applied Sciences and Engineering, 20160605/0610, Hersonissos (GR), No.9447, pp.1, 2016 Keywords: carbon nanostructures, atom structures, memetic algorithms Affiliations:
 
12.  Burczyński T.^{♦}, Mrozek A.^{♦}, Kuś W.^{♦}, Computational models of new graphenelike nanostructures, SolMech 2016, 40th Solid Mechanics Conference, 20160829/0902, Warszawa (PL), No.P253, pp.12, 2016 Keywords: carbon nanostructures, conjugated gradient method, evolutionary algorithm Affiliations:
 
13.  Kuś W.^{♦}, Brodacka A.^{♦}, Burczyński T.^{♦}, Identification of trabecular bone material properties in multiscale model of femur bone, CMM 2011, 19th International Conference on Computer Methods in Mechanics, 20110509/0512, Warszawa (PL), pp.17512, 2011  
14.  Beluch W.^{♦}, Burczyński T.^{♦}, Kuś W.^{♦}, Parallel and distributed computations in evolutionary and immune optimization of laminates, CMM 2011, 19th International Conference on Computer Methods in Mechanics, 20110509/0512, Warszawa (PL), pp.16812, 2011  
15.  Kuś W.^{♦}, Brodacka A.^{♦}, Burczyński T.^{♦}, The cellular automata parameters identification with use of parallel evolutionary algorithm, CMM 2011, 19th International Conference on Computer Methods in Mechanics, 20110509/0512, Warszawa (PL), pp.25012, 2011 