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Some Introductory and Historical Remarks on Mechanics of Microstructured Materials
PublicationHere we present few remarks on the development of the models of microstuctured media and the generalized continua.
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A Note on Reduced Strain Gradient Elasticity
PublicationWe discuss the particular class of strain-gradient elastic material models which we called the reduced or degenerated strain-gradient elasticity. For this class the strain energy density depends on functions which have different differential properties in different spatial directions. As an example of such media we consider the continual models of pantographic beam lattices and smectic and columnar liquid crystals.
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On dynamics of origami-inspired rod
PublicationWe discuss the dynamics of a relatively simple origami-inspired structure considering discrete and continuum models. The latter was derived as a certain limit of the discrete model. Here we analyze small in-plane deformations and related equations of infinitesimal motions. For both models, dispersion relations were derived and compared. The comparison of the dispersion relations showed that the continuum model can capture the behavior...
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Zagrożenia uczestników ruchu drogowego na drogach regionalnych
PublicationReferat zawiera analizę bezpieczeństwa ruchu drogowego na sieci dróg wojewódzkich. Przedstawiono poziom bezpieczeństwa na tle całej sieci drogowej oraz charakterystykę poszczególnych województw. Przedstawiono ranking województw ze względu na liczby wypadków i ich ofiar oraz wybrane wskaźniki. Zaprezentowano, jakie są najczęściej występujące rodzaje wypadków na drogach wojewódzkich oraz przedstawiono lokalizację wypadków pod kątem...
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Tools for road infrastructure safety management – Polish experiences
PublicationThe objective of road safety infrastructure management is to ensure that when roads are planned, designed, built and used road risks can be systematically identified, assessed, removed and mitigated. There are a number of approaches to road safety management. European Union Directive 2008/96/EC requires EU member states to use four basic tools of road safety infrastructure management. An overview of the methods in these countries...
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Self Portrait with a Mask
PublicationPaweł SASIN - Self Portrait with a Mask “Every work of art is the child of its time, and, in many cases, the mother of our emotions. “ Wassily Kandynsky, Concerning the Spiritual in Art The two years 2020 and 2021 were marked by the COVID-19 pandemic – a lengthy period of time in which everyone felt in danger of losing one’s health or life. As a result, many people were experiencing negative emotion, becoming subject to psychological...
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Nuts 51 (voj. dolnoslaskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. dolnoslaskie (Poland, nuts 71).
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Nuts 81 (voj. lubelskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. lubelskie (Poland, nuts 81)
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Nuts 61 (voj. kujawsko-pomorskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. kujawsko-pomorskie (Poland, nuts 61)
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Nuts 92 (mazowiecki regionalny region). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in mazowiecki regionalny region (Poland, nuts 92)
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Nuts 43 (voj. lubuskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. lubuskie (Poland, nuts 43)
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Nuts 62 (voj. warminsko-mazurskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. warminsko-mazurskie (Poland, nuts 62)
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Nuts 42 (voj. zachodniopomorskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. zachodniopomorskie (Poland, nuts 42)
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Nuts 52 (voj. opolskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. opolskie (Poland, nuts 52)
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Nuts 22 (voj. slaskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. slaskie (Poland, nuts 22)
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Nuts 71 (voj. lodzkie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. lodzkie (Poland, nuts 71)
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Nuts 21 (voj. malopolskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. malopolskie (Poland, nuts 21)
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Nuts 82 (voj. podkarpackie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. podkarpackie(Poland, nuts 82)
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Nuts 84 (voj. podlaskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. podlaskie (Poland, nuts 84)
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Nuts 63 (voj. pomorskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. pomorskie (Poland, nuts 63)
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Nuts 41 (voj. wielkopolskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. wielkopolskie (Poland, nuts 41)
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Nuts 91 (woj. warszawski - stoleczny). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in warszawski - stoleczny region (Poland, nuts 91)
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Nuts 72 (voj. swietokrzyskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. swietokrzyskie (Poland, nuts 72)
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Molecular structures and supramolecular architectures of two chromogenic 13-membered azobenzocrown ethers with a peripheral hydroxyl group in the benzene ring.
PublicationOkreślono strukturę krystaliczną dwóch pochodnych 13-członowego eteru azobenzokoronowego z peryferyjną grupą hydroksylową, metodą analizy rentgenostrukturalnej monokryształów. W stanie stałym 13-członowy eter azobenzokoronowy zawierający grupę OH jako podstawnik w pierścieniu aromatycznym w pozycji para do grupy azowej występuje w formie chinono-hydrazonu. Forma ta stabilizowana jest przez silne wewnątrzcząsteczkowe wiązanie wodorowe....
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On the Bending of Multilayered Plates Considering Surface Viscoelasticity
PublicationWe discuss the bending resistance of multilayered plates taking into account surface/interfacial viscoelasticity. Within the linear surface viscoelasticity we introduce the surface/interfacial stresses linearly dependent on the history of surface strains. In order to underline the surface viscoelasticity contribution to the bending response we restrict ourselves to the elastic behaviour in the bulk. Using the correspondence principle...
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On Dynamic Extension of a Local Material Symmetry Group for Micropolar Media
PublicationFor micropolar media we present a new definition of the local material symmetry group considering invariant properties of the both kinetic energy and strain energy density under changes of a reference placement. Unlike simple (Cauchy) materials, micropolar media can be characterized through two kinematically independent fields, that are translation vector and orthogonal microrotation tensor. In other words, in micropolar continua...
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Anti-plane surface waves in media with surface structure: Discrete vs. continuum model
PublicationWe present a comparison of the dispersion relations derived for anti-plane surface waves using the two distinct approaches of the surface elasticity vis-a-vis the lattice dynamics. We consider an elastic half-space with surface stresses described within the Gurtin–Murdoch model, and present a formulation of its discrete counterpart that is a square lattice half-plane with surface row of particles having mass and elastic bonds different...
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Singular Surface Curves in the Resultant Thermodynamics of Shells
PublicationWithin six-parameter shells theory we discuss the governing equations of shells with material or non-material singular curves. By singular curve we mean a surface curve where are discontinuities in some surface fields. As an example we consider shells with junctions and shells undergoing stress-induced phase transitions.
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On the correspondence between two- and three-dimensional Eshelby tensors
PublicationWe consider both three-dimensional (3D) and two-dimensional (2D) Eshelby tensors known also as energy–momentum tensors or chemical potential tensors, which are introduced within the nonlinear elasticity and the resultant nonlinear shell theory, respectively. We demonstrate that 2D Eshelby tensor is introduced earlier directly using 2D constitutive equations of nonlinear shells and can be derived also using the throughthe-thickness...
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ON AXIALLY SYMMETRIC SHELL PROBLEMS WITH REINFORCED JUNCTIONS
PublicationWithin the framework of the six-parameter nonlinear resultant shell theory we consider the axially symmetric deformations of a cylindrical shell linked to a circular plate. The reinforcement in the junction of the shell and the plate is taken into account. Within the theory the full kinematics is considered. Here we analyzed the compatibility conditions along the junction and their in uence on the deformations and stressed state.
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On phase equilibrium of an elastic liquid shell with wedge disclination
PublicationBased on the six-parameter shell theory we consider the phase equilibrium of a two-phase liquid membrane containing a wedge disclination. The considered problems are related to modelling of phase transitions in biological or lipid membranes. In order to capture the membrane behaviour we consider a special case of elastic shells which energy is invariant under major transformations of a reference configuration and can be treated...
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Analysis of Signalized Intersections in the Context of Pedestrian Traffic
PublicationGdynia is a city in the Pomeranian Voivod e ship of Poland with a population of about 250,000. It faces a growing motorization rate th at needs to be addressed. Car ownership in Gdynia now exceed s 500 vehicles per 1000 residents. Travel by public transport is decreasing and the rate of walking and cycling remains low. It is necessary to reverse these negative trends by implementing solu tions based...
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Funkcjonowanie skrzyżowań z wyspą centralną ze zmienną wielkością wewnętrznych powierzchni akumulacji
PublicationW niniejszym artykule przedstawiono wybrane zagadnienia dotyczące funkcjonowania skrzyżowań z wyspą centralną przy dużych i bardzo dużych natężeniach ruchu. Ten typ skrzyżowań jest często stosowany w Polsce w centrach miast na ulicach wielopasowych i jest dość powszechny w przypadku występowania torowiska tramwajowego w pasie dzielącym jezdnie. Przy dużym udziale natężenia pojazdów skręcających w lewo lub zawracających, wy- spa...
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Automatic Incident Detection at Intersections with Use of Telematics
PublicationWhile there are many examples of Intelligent Transport System deployments in Poland, more attention should be paid to traffic incident management and detection on dual-carriageways and urban street networks. One of the aims of CIVITAS DYN@MO, a European Union funded project, is to use TRISTAR (an Urban Transport Management System) detection modules to detect incidents at junctions equipped with traffic signals. First part of paper...
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Estimation of Potential Leakage from Dumped Chemical Munitions in the Baltic Sea Based on Two Different Modelling Approaches
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Extended micropolar approach within the framework of 3M theories and variations thereof
PublicationAs part of his groundbreaking work on generalized continuum mechanics, Eringen proposed what he called 3M theories, namely the concept of micromorphic, microstretch, and micropolar materials modeling. The micromorphic approach provides the most general framework for a continuum with translational and (internal) rotational degrees of freedom (DOF), whilst the rotational DOFs of micromorphic and micropolar continua are subjected...
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Identification of Shear Modulus Parameters of Half-space Inhomogeneous by Depth
PublicationThe paper propose a method for determining of the parameters of the exponential shear modulus of a functionally graded half-space based on the solution of the problem of a pure shear of an elastic functionally graded half-space by a strip punch. The solution of the integral equation of the contact problem is constructed by asymptotic methods with respect to the dimensionless parameter. The dependence of contact stresses on the...
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Fluid–solid interaction on a thin platelet with high-velocity flow: vibration modelling and experiment
PublicationThe paper concerns the nonlinear behaviour of a thin platelet that is streamlined in an aerodynamic tunnel. The air velocity in the aerodynamic tunnel was at 858.9 km/h or 0.7 Ma (Ma—Mach number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound). This experiment was numerically simulated using FSI (fluid–solid interaction) tools, namely the coupling...
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Design of metamaterials: Preface
PublicationThis special issue “Design of metamaterials” collects several papers that have presented theoretical, numerical, and experimental studies of metamaterials.
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Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space
PublicationWe consider the anti-plane shear waves in a domain consisting of an infinite layer with a thin coating lying on an elastic half-space. The elastic properties of the coating, layer, and half-space are assumed to be different. On the free upper surface we assume the compatibility condition within the Gurtin–Murdoch surface elasticity, whereas at the plane interface we consider perfect contact. For this problem there exist two possible...
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On the influence of a surface roughness on propagation of anti-plane short-length localized waves in a medium with surface coating
PublicationWe discuss the propagation of localized surface waves in the framework of the linear Gurtin–Murdoch surface elasticity and taking into account a roughness of a free boundary. We derive a boundary-value problem for anti-plane motions with curvilinear boundary and surface stresses. Using the asymptotic technique developed earlier, we obtain the form of a localized wave and analyze its amplitude evolution. As the main result we present...
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On weak solutions of boundary value problems within the surface elasticity of Nth order
PublicationA study of existence and uniqueness of weak solutions to boundary value problems describing an elastic body with weakly nonlocal surface elasticity is presented. The chosen model incorporates the surface strain energy as a quadratic function of the surface strain tensor and the surface deformation gradients up to Nth order. The virtual work principle, extended for higher‐order strain gradient media, serves as a basis for defining...
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On thermal stability of piezo-flexomagnetic microbeams considering different temperature distributions
PublicationBy relying on the Euler–Bernoulli beam model and energy variational formula, we indicate critical temperature causes in the buckling of piezo-flexomagnetic microscale beams. The corresponding size-dependent approach is underlying as a second strain gradient theory. Small deformations of elastic solids are assessed, and the mathematical discussion is linear. Regardless of the pyromagnetic effects, the thermal loading of the thermal...
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On nonlinear dilatational strain gradient elasticity
PublicationWe call nonlinear dilatational strain gradient elasticity the theory in which the specific class of dilatational second gradient continua is considered: those whose deformation energy depends, in an objective way, on the gradient of placement and on the gradient of the determinant of the gradient of placement. It is an interesting particular case of complete Toupin–Mindlin nonlinear strain gradient elasticity: indeed, in it, the...
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Thermal buckling of functionally graded piezomagnetic micro- and nanobeams presenting the flexomagnetic effect
PublicationGalerkin weighted residual method (GWRM) is applied and implemented to address the axial stability and bifurcation point of a functionally graded piezomagnetic structure containing flexomagneticity in a thermal environment. The continuum specimen involves an exponential mass distributed in a heterogeneous media with a constant square cross section. The physical neutral plane is investigated to postulate functionally graded material...
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Anti-plane waves in an elastic thin strip with surface energy
PublicationWe consider anti-plane motions of an elastic plate taking into account surface energy within the linear Gurtin–Murdoch surface elasticity. Two boundary-value problems are considered that describe complete shear dynamics of a plate with free faces or with free and clamped faces, respectively. These problems correspond to anti-plane dynamics of an elastic film perfectly or non-perfectly attached to a rigid substrate. Detailed analysis...
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Flexomagneticity in Functionally Graded Nanostructures
PublicationFunctionally graded structures have shown the perspective of materials in a higher efficient and consistent manner. This study reports a short investigation by concentrating on the flexomagnetic response of a functionally graded piezomagnetic nano-actuator, keeping in mind that the converse magnetic effect is only taken into evaluation. The rule of mixture assuming exponential composition of properties along with the thickness...
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On stress singularity near the tip of a crack with surface stresses
PublicationIn the framework of the simplified linear Gurtin–Murdoch surface elasticity we discuss a singularity of stresses and displacements in the vicinity of a mode III crack. We show that inhomogeneity in surface elastic properties may significantly affect the solution and to change the order of singularity. We also demonstrate that implicitly or explicitly assumed symmetry of the problem may also lead to changes in solutions. Considering...
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Transverse surface waves on a cylindrical surface with coating
PublicationWe discuss the propagation of transverse surface waves that are so-called whispering-gallery waves along a surface of an elastic cylinder with coating. The coating is modelled in the framework of linearized Gurtin–Murdoch surface elasticity. Other interpretations of the surface shear modulus are given and relations to so-called stiff interface and stiff skin model are discussed. The dispersion relations are obtained and analyzed.
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Torsional stability capacity of a nano-composite shell based on a nonlocal strain gradient shell model under a three-dimensional magnetic field
PublicationThis paper considers a single-walled composite nano-shell (SWCNS) exposed in a torsional critical stability situation. As the magnetic field affects remarkably nanostructures in the small size, a three-dimensional magnetic field is assessed which contains magnetic effects along the circumferential, radial and axial coordinates system. Based on the results of the nonlocal model of strain gradient small-scale approach and the first-order...