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Search results for: COSSERAT SURFACE
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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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Elastoplastic nonlinear FEM analysis of FGM shells of Cosserat type
PublicationThe paper is a continuation of [1] where the formulation of the elastic constitutive law for functionally graded materials (FGM) on the grounds of nonlinear 6-parameter shell theory with the 6th parameter (the drilling degree of freedom) was presented. Here the formulation is extended to the elasto-plastic range. The material law is based on Cosserat plasticity and employs the well-known Tamura-Tomota-Ozawa (TTO) [2] mixture...
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On Non-holonomic Boundary Conditions within the Nonlinear Cosserat Continuum
PublicationWithin the framework of the nonlinear micropolar elastic continuum we discuss non-holonomic kinematic boundary conditions. By non-holonomic boundary conditions we mean linear relations between virtual displacements and virtual rotations given on the boundary. Such boundary conditions can be used for modelling of complex material interactions in the vicinity of the boundaries and interfaces.
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Fem analysis of cosserat plates and shells based on some constitutive relations
PublicationPrzeprowadzono studium doboru mikropolarnych współczynników konstytutywnych w pewnym modelu płyty Cosseratów. Wyznaczono ograniczenia na ich wartości i przeprowadzono parametryczną analizę wpływu tych współczynników na geometrycznie nieliniowe deformacje powłok z ortogonalnymi przecięciami płatów.
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On FEM analysis of Cosserat-type stiffened shells. Static and stability linear analysis
PublicationThe present research investigates the theory and numerical analysis of shells stiffened with beams in the framework based on the geometrically exact theories of shells and beams. Shell’s and beam’s kinematics are described by the Cosserat surface and the Cosserat rod respectively, which are consistent including deformation and strain measures. A FEM approximation of the virtual work principle leads to the conforming shell and beam...
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An isogeometric finite element formulation for frictionless contact of Cosserat rods with unconstrained directors
PublicationThis paper presents an isogeometric finite element formulation for nonlinear beams with impenetrability constraints, based on the kinematics of Cosserat rods with unconstrained directors. The beam cross-sectional deformation is represented by director vectors of an arbitrary order. For the frictionless lateral beam-to-beam contact, a surface-to-surface contact algorithm combined with an active set strategy and a penalty method...
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Structural response of existing spatial truss roof construction based on Cosserat rod theory
PublicationPaper presents the application of the Cosserat rod theory and newly developed associated finite elements code as the tools that support in the expert-designing engineering practice. Mechanical principles of the 3D spatially curved rods, dynamics (statics) laws, principle of virtual work are discussed. Corresponding FEM approach with interpolation and accumulation techniques of state variables are shown that enable the formulation...
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Non-standard contact conditions in generalized continua: microblock contact model for a Cosserat body
PublicationGeneralized continuum theories involve non-standard boundary conditions that are associated with the additional kinematic variables introduced in those theories, e.g., higher gradients of the displacement field or additional kinematic degrees of freedom. Accordingly, formulation of a contact problem for such a continuum necessarily requires that adequate contact conditions are formulated for the additional kinematic variables and/or...
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Geometrically Nonlinear Analysis of Functionally Graded Shells Based on 2-D Cosserat Constitutive Model
PublicationIn this paper geometrically nonlinear analysis of functionally graded shells in 6-parameter shell theory is presented. It is assumed that the shell consists of two constituents: ceramic and metal. The mechanical properties are graded through the thickness and are described by power law distribution. Formulation based on 2-D Cosserat constitutive model is used to derive constitutive relation for functionally graded shells. Numerical...
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2-D constitutive equations for orthotropic Cosserat type laminated shells in finite element analysis
PublicationWe propose 2-D Cosserat type orthotropic constitutive equations for laminated shells for the purpose of initial failure estimation in a laminate layer. We use nonlinear 6-parameter shell theory with asymmetric membrane strain measures and Cosserat kinematics as the framework. This theory is specially dedicated to the analysis of irregular shells, inter alia, with orthogonal intersections, since it takes into account the drilling...
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Robust four-node elements based on Hu–Washizu principle for nonlinear analysis of Cosserat shells
PublicationMixed 4-node shell elements with the drilling rotation and Cosserat-type strain measures based onthe three-field Hu–Washizu principle are proposed. In the formulation, apart from displacement and rotationfields, both strain and stress resultant fields are treated as independent. The elements are derived in the frame-work of a general nonlinear 6-parameter shell theory dedicated to the analysis of multifold irregular shells.The...
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Visible-light-induced photocatalysis through surface Plasmon excitation of gold on titania surfaces
PublicationPietnascie komercyjnych probek tlenku tytanu(IV) zostalo zmodyfikowanych zlotem za pomoca fotodepozycji oraz scharakteryzowanych. Fotoaktywnosci proszkow Au/TiO2 zostaly przebadane dla fotodegradacji kwasu octowego i 2-propanolu podczas naswietlania promieniowaniem widzialnym oraz ultrafioletowym. Wykazano, ze fotokatalityczne aktywnosci scisle zaleza od wlasciwosci nanoczastek zlota i tlenku tytanu. Analizy spektrum działania...
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Surface-Step-Induced Magnetic Anisotropy in Epitaxial LSMO Deposited on Engineered STO Surfaces
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Geometrically nonlinear FEM analysis of 6-parameter resultant shell theory based on 2-D Cosserat constitutive model
PublicationWe develop the elastic constitutive law for the resultant statically and kinematically exact, nonlinear, 6-parameter shell theory. The Cosserat plane stress equations are integrated through-the- thickness under assumption of the Reissner-Mindlin kinematics. The resulting constitutive equations for stress resultant and couple resultants are expressed in terms of two micropolar constants: the micropolar modulus Gc and the micropolar...
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Particle rotation effects in Cosserat-Maxwell boundary layer flow with non-Fourier heat transfer using a new novel approach
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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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Strongly anisotropic surface elasticity and antiplane surface waves
PublicationWithin the new model of surface elasticity, the propagation of anti-plane surface waves is discussed. For the proposed model, the surface strain energy depends on surface stretching and on changing of curvature along a preferred direction. From the continuum mechanics point of view, the model describes finite deformations of an elastic solid with an elastic membrane attached on its boundary reinforced by a family of aligned elastic...
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Surface finite viscoelasticity and surface anti-plane waves
PublicationWe introduce the surface viscoelasticity under finite deformations. The theory is straightforward generalization of the Gurtin–Murdoch model to materials with fading memory. Surface viscoelasticity may reflect some surface related creep/stress relaxation phenomena observed at small scales. Discussed model could also describe thin inelastic coatings or thin interfacial layers. The constitutive equations for surface stresses are...
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Surface sliding in human abdominal wall numerical models: Comparison of single-surface and multi-surface composites
PublicationDetermining mechanical properties of abdominal soft tissues requires a coupled experimental-numerical study, but first an appropriate numerical model needs to be built. Precise modeling of human abdominal wall mechanics is difficult because of its complicated multi-layer composition and large variation between specimens. There are several approaches concerning simplification of numerical models, but it is unclear how far one could...
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Surface and interfacial anti-plane waves in micropolar solids with surface energy
PublicationIn this work, the propagation behaviour of a surface wave in a micropolar elastic half-space with surface strain and kinetic energies localized at the surface and the propagation behaviour of an interfacial anti-plane wave between two micropolar elastic half-spaces with interfacial strain and kinetic energies localized at the interface have been studied. The Gurtin–Murdoch model has been adopted for surface and interfacial elasticity....
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Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses
PublicationHere we discuss the similarities and differences in anti-plane surface wave propagation in an elastic half-space within the framework of the theories of Gurtin–Murdoch surface elasticity and Toupin–Mindlin strain-gradient elasticity. The qualitative behaviour of the dispersion curves and the decay of the obtained solutions are quite similar. On the other hand, we show that the solutions relating to the surface elasticity model...
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On Anti-Plane Surface Waves Considering Highly Anisotropic Surface Elasticity Constitutive Relations
PublicationWithin the framework of highly anisotropic surface elasticity model we discuss the propagation of new type of surface waves that are anti-plane surface waves. By the highly anisotropic surface elasticity model we mean the model with a surface strain energy density which depends on incomplete set of second derivatives of displacements. From the physical point of view this model corresponds to a coating made of a family of parallel...
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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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The surface photoconductivity in molecular layers
PublicationW pracy przedstawiono rezultaty analizy fotoprądów powierzchniowych w cienkich warstwach tetracenu i pentacenu. W szczególności badano wpływ obecności defektów strukturalnych w warstwach na charakterystyki fotoprądów i transport nośników ładunku.
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Spikes removal in surface measurement
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Phonons at the Fe(110) Surface
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Surface Treatment of Rubber Waste
PublicationThis chapter deals with the study of different approaches to improve the compatibility of waste rubber with polymeric matrixes of high density polyethylene (HDPE) by using surface treatments to increase adhesion. Different surface treatments such as etching with sulphuric and nitric acids, the use of a silane as a coupling agent and chlorination with trichloroisocyanuric acid (TCI) have been applied. The modification of waste rubber...
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On Surface Kinetic Constitutive Relations
PublicationIn the framework of the strain gradient surface elasticity we discuss a consistent form of surface kinetic energy. This kinetic constitutive equation completes the statement of initial–boundary value problems. The proposed surface kinetic energy density is the most general function consistent with the constitutive relations in bulk. As the surface strain energy depends on the surface deformation gradient and its gradient, the kinetic...
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Surface properties of barley straw
PublicationWłaściwości powierzchniowe słomy jęczmiennej (Hordeum vulgare) odgrywają kluczową rolę w zastosowaniach przemysłowych, takich jak sorpcja rozlewów olejowych oraz oczyszczenie gleby. Zbadano niejednorodność chemiczną oraz morfologiczną liści i łodyg słomy jęczmiennej poprzez pomiar kątów zwilżania wodą oraz olejem oraz z zastosowaniem techniki FTIR, SEM oraz AFM.
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Dynamics of surface floating objects
PublicationPrezentowana praca stanowi wstępne rozeznanie w dziedzinie badań dynamiki konstrukcji pływających z zastosowaniem teorii procesu dyfuzji. W pracy rozpatrywane są modele fizyczne jednostek wielokadłubowych oraz modele matematyczne. Spośród modeli jednostek wielokadłubowych wyróżnia się modele deterministyczne oraz modele stochastyczne.
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Smoothing of wood surface by burnishing
PublicationW artykule zaprezentowano rozwój bezwiórowych metod obróbki wykańczającej drewna. Przedstawiono wpływ nagniatania ślizgowego na chropowatość powierzchni drewna. Badania przeprowadzono na próbkach wykonanych z drzewa sosnowego toczonych i nagniatanych ślizgowo. Nagniatanie ślizgowe przeprowadzono z wykorzystaniem nagniataka elastycznego o elemencie ślizgowym wykonanym z Karbonado. Wyniki odniesiono do głównych parametrów nagniatania...
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SURFACE TEXTURE ANALYSIS AFTER BALL END MILLING WITH VARIOUS SURFACE INCLINATION OF HARDENED STEEL
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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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Surface shape reverse engineering with nurbs
PublicationW artykule zaprezentowano algorytm, który interpoluje prostokątną tablice punktów w przestrzeni trójwymiarowej przy pomocy powierzchni NURBS. Algorytm oblicza parametry powierzchni NURBS tak, aby jak najwierniej oddać kształt opisany przez punkty. Do interpolacji punktów wybrano powierzchnię NURBS, jako najbardziej uniwersalny i najczęściej używany w programach CAD rodzaj powierzchni. Interpolowane punkty mogą pochodzić zarówno...
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Surface modifications of ti and its alloys
PublicationThis article reviews the various surface modification techniques pertaining to titanium and titanium alloys including physical treatment, mechanical treatment, and chemical and electrochemical treatment. The proper surface modification expands the use of titanium and its alloys in the biomedical field for long-term implants retaining the excellent properties of substrate material and improving the specific surface properties required...
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Measurement of surface flatness after lapping
PublicationPrzedstawiono sposób pomiaru płaskości powierzchni w docieraniu z wykorzystaniem metody sztucznych baz Vickersa. W analizie wykorzystano skomputeryzowane stanowisko do badań mikroskopowych, wyposażone w mikroskop stereoskopowy, kamerę CCD oraz program MultiScan.
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Type of surface and tire rolling resistance
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Surface Structure of Components Created by Stereolitography
PublicationStereolithography is an additive rapid prototyping method. This method is based on the principle of solidifying a liquid photopolymer (resin) by laser radiation. Models obtained with this method are characterized by a specific surface structure called “stairstep effect”. It causes that, the surface should be processed by additional finishing (postprocessing). To minimize the additional machining process, the model should be set...
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Occurrence of Surface Active Agents in the Environment
PublicationDue to the specific structure of surfactants molecules they are applied in different areas of human activity (industry, household). After using and discharging from wastewater treatment plants as effluent stream, surface active agents (SAAs) are emitted to various elements of the environment (atmosphere, waters, and solid phases), where they can undergo numerous physic-chemical processes (e.g., sorption, degradation) and freely...
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On-line measurement of wood surface smoothness
PublicationThe latest progress in the field of optics and microelectronics resulted in development of new generation vision systems capable of scanning surface topography with very high sampling frequencies. The blue color of illuminating light as well as novel systems for controlling ultra-thin laser line thickness allows measurement of the porous surface of wood with a triangulation method. Three alternative sensors were tested here in...
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Excitons dissociation on pentacene-metal surface
PublicationBadano proces iniekcji nośników ładunku przez ekscytony z elektrod ITO i Mg do warstwy pentacenu. Stwierdzono, że energia ekscytonów tripletowych nie zawsze wystarcza do pokonania bariery potencjału powstającej na złączu elektroda - pentacen.
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Surface properties and visible light activity of W-TiO2 photocatalysts prepared by surface impregnation and sol-gel method
PublicationTiO2 modyfikowany wolframem otrzymano dwiema metodami: metodą zol-żel oraz metodą impregnacji powierzchniowej. Fotokatalizatory kalcynowano w temperaturze 400C. Jako matrycę TiO2 zastosowano ST-01 (Ishihara Sangyo, Japonia, 300m2/g). jako prekursory wolframu zastosowano tlenek wolframu oraz heksakarbonylek wolframu. Badania obejmowały wpływ ilości domieszki na aktywność fotokatalityczną. Charakterystyka otrzymanych fotokatalizatorów...
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Thermal dewetting as a method of surface modification of the gold thin films for surface plasmon resonance based sensor applications
PublicationHere, we report a quick and simple approach with low, optimized production costs to obtain surface plasmon resonance (SPR) based sensors fabricated through a time- and resource-effective method based on thermal dewetting of thin Au films. From the applicative point of view, the method of detection presented here should be easier to implement, since light transmission measurements seem to be much less challenging than light refractive...
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Multicomponent layers for aluminium alloys surface consolidation
PublicationThe main reason of the surface modification of the components such as pistons and cylinder blocks made of cast aluminium alloys is to obtain high hardness, wear and corrosion resistance of the working surface for larger lifetime of the motor-car and aircraft engines. In that aspect, the new conception of development - by hybrid method - of surface layers containing manganese, nitrogen, sulphur (Mn-N-S) and manganese, nitrogen,...
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Mesoscopic impedance analysis of solid materials’ surface
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Concept of Neural Model of the Sea Bottom Surface
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Surface contamination after lapping by abrasive material
PublicationPrzedstawiono wyniki badań skażenia powierzchni żeliwa sferoidalnego mikroziarnami węglika krzemu po docieraniu. Określowo wpływ współczynnika upakowania mikroziaren w strefie docierania na intensywność skażenia powierzchni ścierniwem. W badaniach wykorzystano powierzchniową mikroanalizę rentgenowską.
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Total mercury in surface sediments of the Gdansk Basin
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New procedure of silica gel surface modification
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Mechanism for sonocoating a polymer surface with nano-hydroxyapatite
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