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Search results for: KINETIC CONSTITUTIVE EQUATIONS
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Differential and Integral Equations
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On the existence of homoclinic type solutions of inhomogenous Lagrangian systems
PublicationWe study the existence of homoclinic type solutions for a class of inhomogenous Lagrangian systems with a potential satisfying the Ambrosetti-Rabinowitz superquadratic growth condition and a square integrable forcing term. A homoclinic type solution is obtained as a limit of periodic solutions of an approximative sequence of second order differential equations.
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Zastosowanie metody równań całkowych w analizie pola ekranującego obiektów ferromagnetycznych.Application of integral equations method to shield field analysis of ferromagnetic object.
PublicationDuże obiekty ferromagnetyczne, jakimi są okręty, powodują zaburzenia w rozkładzie ziemskiego pola ma-gnetycznego. Dla zredukowania tego zaburzenia na okrętach umieszcza się specjalne uzwojenia, których ce-lem jest wytworzenie pola magnetycznego usuwającego zmiany wywołane obecnością ferromagnetyka w zewnętrznym polu ziemskim. Obliczania rozkładu tych uzwojeń wiąże się z koniecznością znalezienia rozkładu pola magnetycznego.Zastosowanie...
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On rotary inertia of microstuctured beams and variations thereof
PublicationWe discuss the classic rotary inertia notion and extend it for microstructured beams introducing new microinertia parameters as an additional dynamic response to microstructure changes. Slender structures made of beam- or platelet-lattice metamaterials may exhibit not only large translations and rotations but also general deformations of inner structure. Here we considered a few examples of beam-like structures and derive their...
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Electronic Journal of Differential Equations
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Straightened characteristics of McKendrick-von Foerster equation
PublicationWe study the McKendrick-von Foerster equation with renewal (that is the age-structured model, with total population dependent coefficient and nonlinearity). By using a change of variables, the model is then transformed to a standard age-structured model in which the total population dependent coefficient of the transport term reduces to a constant 1. We use this transformation to get existence, uniqueness of solutions of the problem...
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Two-dimensional vertical Reynolds-averaged naviers-stokes equations versus one-dimensional Saint-Venant model for rapidly varied open channel water flow modelling
PublicationPrzedstawiono dwa modele przepływu wody ze swobodną powierzchnią -płaski pionowy model Reynoldsa i model de Saint-Venanta.Do rozwiązania równań pierwszego modelu zastosowano schemat SIMPLE oraz wykorzystano metodę cząstek znaczonych MAC do wyznaczania swobodnej powierzchni wody. Równania Saint-Venanta rozwiązano metodą objętości skończonych. Obydwa modele zastosowano do symulacj zjawiska typu katastrofa zapory. Porównano wyniki...
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Equations of tribological parameters for liquid flow in boundary layer on the tissue surface in bioreactor = Wyznaczanie parametrów tribologicznych dla przepływu cieczy w warstwie granicznej na powierzchni tkanki w bioreaktorze
PublicationW niniejszej pracy przedstawiony został problem tribologiczny wynikający z przepływu nieustalonego odżywczej cieczy lepkiej w cienkiej warstwie przyściennej w bezpośrednim kontakcie z zewnętrzną powierzchnią warstwy wierzchniej wzrastających komórek (chondrocytów) w trakcie procesu ich hodowli w bioreaktorze. Efektem rozważań będą wartości sił tarcia powstające na powierzchni wzrastającej tkanki. Najnowsze badania wykazały lepszą...
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Infinite systems of hyperbolic functional differential equations. Ukr.Mat. Zurn.*2003 t. 55 nr 12 s. 1678-1696 bibliogr. 21 poz. Nieskończone układy hiperboliczne równań różniczkowo-funkcyjnych.
PublicationWykazano istnienie prawie klasycznego rozwiązania zagadnienia Cauchy´ego.Dowód wykorzystuje metodę bicharakterystyk i nierówności całkowo-funkcyjne.
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An facile Fortran-95 algorithm to simulate complex instabilities in three-dimensional hyperbolic systems
Open Research DataIt is well know that the simulation of fractional systems is a difficult task from all points of view. In particular, the computer implementation of numerical algorithms to simulate fractional systems of partial differential equations in three dimensions is a hard task which has no been solved satisfactorily. Here, we provide a Fortran-95 code to solve...
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Ball on disk test AL(rf.)-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 not treated (reference).
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Ball on disk test AL(rf.)-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 not treated (reference).
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Ball on disk test AT4_11-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 TiN powder injected (AT4_11).
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Ball on disk test AT3_21-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 TiN powder injected (AT3_21).
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Ball on disk test AW4_1-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 WC powder injected (AW4_1).
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Ball on disk test AT4_4-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 TiN powder injected (AT4_4).
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Ball on disk test AW4_11-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 WC powder injected (AW4_11).
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Ball on disk test AT4_1-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 TiN powder injected (AT4_1).
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Ball on disk test AT4_41-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 TiN powder injected (AT4_41).
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Ball on disk test AT3_2-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 TiN powder injected (AT3_2).
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Ball on disk test AW4_4-Al2O3-r15
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 15 mm. Disk material: Al6061 WC powder injected (AW4_4).
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Ball on disk test AW4_41-Al2O3-r25
Open Research DataHard particle reinforced Al6061 alloy testing. Laser remelting and kinetic injection of particulate material. Ball on disc tribological test. Ball material: Al2O3. Ball diameter: 5 mm. Sliding path radius: 25 mm. Disk material: Al6061 WC powder injected (AW4_41).
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Optymalizacja doboru prawa konstytutywnego membrany o strukturze plecionej
PublicationCelem niniejszej dysertacji jest opracowanie zagadnienia optymalizacyjnego pozwalającego dobrać model konstytutywny opisujący mechaniczne zachowanie membrany technicznej. Do analizy wybrano membrany plecione, stosowane w medycynie, tzw. siatki chirurgiczne. W celu wykonania identyfikacji praw konstytutywnych, wykonano dwuosiowe rozciąganie próbek materiałów, otrzymując wskazanie na nieliniowe anizotropowe zachowanie materiałów....
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The lognormal model of the multipath fading channel
Open Research DataThe dataset contains the results of simulations that are part of the research on modelling the multipath fading in the communication channel. The lognormal fading envelope is generated using the Monte-Carlo simulation (MCS) in the LabVIEW programming environment.
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Numerical Modelling of Shear Localization in Granular Bodies using MPM and Non-local Hypoplasticity
PublicationThe paper deals with modelling of shear localization in granular bodies by means of an enhanced hypoplastic constitutive model and material point method (MPM). The calculations were carried out for plane strain compression of non-cohesive sand. In order to properly capture the width and inclination of shear zones, the constitutive model was enriched by a characteristic length of micro-structure by means of a non-local theory....
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International Journal of Qualitative Theory of Differential Equations and Applications
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Thermogravimetric analysis/ pyrolysis of used tyres and waste rubber
PublicationThe process of pyrolysis is investigated in this paper. The pyrolysis results of two samples: waste tyres and rubber at different heating rates (10, 20, 50 K/min), were compared. In other experiments the degradation of two pyrolysis products, char and oil was examined. The kinetic study using the thermogravimetry equipment (TG) was done, which allowed determination of the kinetic mechanism of the process. The elemental analysis...
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A model of damaged media used for describing the process of non-stationary creep and long-term strength of polycrystalline structural alloys
PublicationThe main laws of the processes of creep and long-term strength of polycrystalline structural alloys are considered. From the viewpoint of continuum damaged media (CDM), a mathematical model is developed that describes the processes of viscoplastic deformation and damage accumulation under creep. The problem of determining material parameters and scalar functions of the developed constitutive relations based on the results of specially...
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Katarzyna Tessmer mgr inż.
PeopleEducation 2012: B.Sc. in Financial Mathematics from the Faculty of Applied Physics and Mathematics, Gdansk University of Technology (2008 – 2012: Bachelor of Science Engineering Studies. Field of study: Mathematics. Specialization: Financial Mathematics.) 2014: M.Sc. in Financial Mathematics from the Faculty of Applied Physics and Mathematics, Gdansk University of Technology (2012 – 2014: Master of Science Engineering Studies....
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Structural Stability of Nonautonomous Systems
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Chaos in vibroimpact systems with one degree of freedom in a neighborhood of chatter generation: II
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A Criterion for Conditional Instability by the First Approximation for Solutions of Differential Systems
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Chaos in vibroimpact systems with one degree of freedom in a neighborhood of chatter generation: I
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Elastoplastic law of Cosserat type in shell theory with drilling rotation
PublicationWithin the framework of six-parameter non-linear shell theory, with strain measures of the Cosserat type, we develop small-strain J2-type elastoplastic constitutive relations. The relations are obtained from the Cosserat plane stress relations assumed in each shell layer, by through-the-thickness integration employing the first-order shear theory. The formulation allows for unlimited translations and rotations. The constitutive...
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Analiza nieliniowa powłok z materiałów gradientowych w ośrodku mikropolarnym
PublicationW pracy zaprezentowano analizę powłok z materiałów gradientowych dla zakresu dużych przemieszczeń. Macierz konstytutywna została wyprowadzona dla elementu powłokowego o 6 stopniach swobody w węźle w teorii ośrodka mikropolarnego. Zaprezentowano wyniki numeryczne dla swobodnie podpartej kwadratowej płyty FGM i porównano je z wynikami z literatury oraz uzyskanymi w programie Abaqus.
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The modelling method of discrete-continuous systems
PublicationThe paper introduces a method of discrete-continuous systems modelling. In the proposed method a three-dimensional system is divided into finite elements in only two directions, with the third direction remaining continuous. The thus obtained discrete-continuous model is described by a set of partial differential equations. General difference equations of discrete system are obtained using the rigid finite element method. The limit...
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Karolina Lademann Mgr
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Analysis of the process of water entry of an amphibious vehicle
PublicationThe paper presents a method of computational and experimental analysis of the process of water entry of an amphibious vehicle. The computational method is based on the Reynolds Averaged Navier-Stokes Equations (RANSE) solver and the xperiment was carried out in the towing tank at Ship Design and Research Centre S.A. with the use of a scale model. The analysis was focused on the safety of water entry, i.e. the maximum pitch and...
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Cyclic voltammetry curves for FTO/PANI:WO3 nanocomposite
Open Research DataThis dataset contains the results of kinetic electrochemical studies, carried out with cyclic voltammetry (CV) of FTO/PANI:WO3 nanocomposite at various scan rates: 10, 20, 50, 75, 100 and 200 mV/s. The electrolyte was 1M H2SO4 solution. The measurements were performed in a three electrode setup, and with Ag|AgCl|3M KCl as the reference electrode and...
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Dataset of phase portraits of the fractional prey-predator model with Holling type-II interaction (without predator harvesting)
Open Research DataThe need for a fractional generalization of a given classical model is often due to new behaviors which cannot be taken into account by the model. In this situation, it can be useful to look for a fractional deformation of the initial system, trying to fit the fractional exponent of differentiation in order to catch properly the data.
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Pigment production and secretion by psychrotolerant yeast-like fungi at 25 °C for 2 days
Open Research DataThree strains, named Red, Pink and Black, were grown in five different media with the following compositions: 1% peptone K, 2% glucose; 2% peptone K, 2% glucose; 1% yeast extract, 2% glucose; 1% peptone K, 1% yeast extract, 2% glucose; 1% peptone K, 2% yeast extract, 2% glucose (YPD) for 2 days at 25°C with shaking 180 rpm. The cultures were then centrifuged...
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Pigment production and secretion by psychrotolerant yeast-like fungi at 15 °C for 4 days
Open Research DataThree strains, named Red, Pink and Black, were grown in five different media with the following compositions: 1% peptone K, 2% glucose; 2% peptone K, 2% glucose; 1% yeast extract, 2% glucose; 1% peptone K, 1% yeast extract, 2% glucose; 1% peptone K, 2% yeast extract, 2% glucose (YPD) for 4 days at 15°C with shaking 180 rpm. The cultures were then centrifuged...
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Pigment production and secretion by psychrotolerant yeast-like fungi at 20 °C for 2 days
Open Research DataThree strains, named Red, Pink and Black, were grown in five different media with the following compositions: 1% peptone K, 2% glucose; 2% peptone K, 2% glucose; 1% yeast extract, 2% glucose; 1% peptone K, 1% yeast extract, 2% glucose; 1% peptone K, 2% yeast extract, 2% glucose (YPD) for 2 days at 20°C with shaking 180 rpm. The cultures were then centrifuged...
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Pigment production and secretion by psychrotolerant yeast-like fungi at 15 °C for 2 days
Open Research DataThree strains, named Red, Pink and Black, were grown in five different media with the following compositions: 1% peptone K, 2% glucose; 2% peptone K, 2% glucose; 1% yeast extract, 2% glucose; 1% peptone K, 1% yeast extract, 2% glucose; 1% peptone K, 2% yeast extract, 2% glucose (YPD) for 2 days at 15°C with shaking 180 rpm. The cultures were then centrifuged...
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The impact of methods the stochastic analysis on swimming safety of multihull floating units (Part1)
PublicationThe presented article concerns the application of the methods of the stochastic analysis to solve differential equations for multihull catamaran-type floating unit. There was described the continuous process of Markov and the method of equations of Focker-Planck-Kolmogorov. The analysis of dynamics of the multihull unit was carried out with the assumption that the system model is the linear model with six degrees of freedom, on...
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A hierarchical observer for a non-linear uncertain CSTR model of biochemical processes
PublicationThe problem of estimation of unmeasured state variables and unknown reaction kinetic functions for selected biochemical processes modelled as a continuous stirred tank reactor is addressed in this paper. In particular, a new hierarchical (sequential) state observer is derived to generate stable and robust estimates of the state variables and kinetic functions. The developed hierarchical observer uses an adjusted asymptotic observer...
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The impact of methods the stochastic analysis on swimming safety of multihull floating units (Part 2)
PublicationIn part 2 the equations of the catamaran motion were divided into the system of two groups not conjugated with themselves containing the mutually conjugated equations. The feedback is obtained by the linear and nonlinear coefficients of dampening and coefficients of hydrostatic elasticity. The first group includes the symmetric movements (longitudinal movements), and the second group includes the antisymmetric movements (transverse)....
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A DISCRETE-CONTINUOUS METHOD OF MECHANICAL SYSTEM MODELLING
PublicationThe paper describes a discrete-continuous method of dynamic system modelling. The presented approach is hybrid in its nature, as it combines the advantages of spatial discretization methods with those of continuous system modelling methods. In the proposed method, a three-dimensional system is discretised in two directions only, with the third direction remaining continuous. The thus obtained discrete-continuous model is described...
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Zastosowanie modułu symulacji dynamicznej programu CAD w analizie układu napędowego elektronarzędzia
PublicationW referacie przedstawiono analizę mechanicznego układu przeniesienia napędu elektronarzędzia (wyrzynarki elektrycznej) przy zastosowaniu Modułu Symulacji Dynamicznej (MSD) programu Autodesk Inventor (AI). Opracowano modele 3D poszczególnych części elektronarzędzia i połączono je przy zachowaniu tzw. kinematyki odwrotnej. Przeprowadzono analizę wpływu poszczególnych węzłów kinetycznych na przebieg momentu na wale silnika elektrycznego....
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Combined numerical and experimental approach to determine numerical model of abdominal scaffold
PublicationA proper junction of the prosthesis and the abdominal wall is important in successful hernia repair. The number of tacks should be balanced to assure appropriate mesh fixation and not to induce post-operative pain. Numerical simulations help to find this balance. The study is aimed at creating a proper numerical model of a knitted surgical mesh subjected to boundary conditions and load occurring in the abdominal cavity. Continuous,...