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Search results for: STRAIN GRADIENT ELASTICITY LINEAR PANTOGRAPHIC SHEETS EXISTENCE UNIQUENESS ANISOTROPIC SOBOLEV’S SPACE
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Theory of Elasticity and Plasticity
e-Learning CoursesThis course discusses the general theory of elastic and plastic material behavior of solids.
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Space & Form
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The Hopf theorem for gradient local vector fields on manifolds
PublicationWe prove the Hopf theorem for gradient local vector fields on manifolds, i.e., we show that there is a natural bijection between the set of gradient otopy classes of gradient local vector fields and the integers if the manifold is connected Riemannian without boundary.
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Expedited antenna optimization with numerical derivatives and gradient change tracking
PublicationDesign automation has been playing an increasing role in the development of novel antenna structures for various applications. One of its aspects is electromagnetic (EM)-driven design closure, typically applied upon establishing the antenna topology, and aiming at adjustment of geometry parameters to boost the performance figures as much as possible. Parametric optimization is often realized using local methods given usually reasonable...
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Art of Space – Art in Space / The Role of Sound Art in Public
PublicationThe article presents a discussion of the crossroad between art and architecture. It sketches out the theoretical and practical aspects of space revitalisation and improving its quality in the context of multisensory dimension of public spaces. The unique manifestation of art and creativity in public space could be detected and stimulated using participatory architecture, for instance interactive installations, projects related...
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Refinement of the Hardening Soil model within the small strain range
PublicationThe popularity of the elasto-plastic Hardening Soil (HS) model is based on simple parameter identification from standard testing and empirical formulas. The HS model is implemented in many commercial FE codes designed to analyse geotechnical problems. In its basic version, the stress–strain behaviour within the elastic range is subject to the hypoelastic power law, which assures the barotropy of the elastic stiffness. However,...
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Can architecture be 11-dimensional? The nature of space in the architecture of the digital world era
PublicationThis research aims to explore the development of architectural theories about ‘architectural dimensions’ and look at architecture as a multidimensional space. It is important to understand that with today's development of virtual reality technology and through the combination of theories of physics and architecture, a new possibility of creating space has emerged. The arguments are made through inductive reasoning and grounded...
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On Effective Bending Stiffness of a Laminate Nanoplate Considering Steigmann–Ogden Surface Elasticity
PublicationAs at the nanoscale the surface-to-volume ratio may be comparable with any characteristic length, while the material properties may essentially depend on surface/interface energy properties. In order to get effective material properties at the nanoscale, one can use various generalized models of continuum. In particular, within the framework of continuum mechanics, the surface elasticity is applied to the modelling of surface-related...
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Gradient otopies of gradient local maps
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Asymptotic properties of quadratic stochastic operators acting on the L1 space
PublicationQuadratic stochastic operators can exhibit a wide variety of asymptotic behaviours and these have been introduced and studied recently in the ℓ1 space. It turns out that in principle most of the results can be carried over to the L1 space. However, due to topological properties of this space one has to restrict in some situations to kernel quadratic stochastic operators. In this article we study the uniform and strong asymptotic...
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The Hopf type theorem for equivariant gradient local maps
PublicationWe construct a degree-type otopy invariant for equivariant gradient local maps in the case of a real finite-dimensional orthogonal representation of a compact Lie group. We prove that the invariant establishes a bijection between the set of equivariant gradient otopy classes and the direct sum of countably many copies of Z.
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Redifining the Space – The Impact of Art Instalation in the Public Space
PublicationThe article presents the outcomes of the ‘Art and design’ - interdisciplinary programme WIRE 2013, and the work of studio regarding the impact of art instalation in the public Space . The subject of the workshop was an ‘Architectural Installation’. The relationship between art and architecture remains a challenging issue today, first and foremost in the domain of architecture, and particularly in art and design schools. To address...
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Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force
PublicationIn this article, we have tried to simulate nonlinear bending analysis of a double-layered graphene sheet which contains a geometrical imperfection based on an eccentric hole. The first-order shear deformation theory is considered to obtain the governing equations. Also, the nonlinear von Kármán strain field has been assumed in order to obtain large deformations. Whereas the double-layered graphene sheet has been considered, the...
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Ab initio elasticity of chalcopyrites
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The electrical, morphological and optical properties of heavily boron-doped diamond sheets as a function of methane concentration in the gas phase
PublicationBoron-doped diamonds (BDD) are known for their excellent properties such as high thermal conductivity, high mobility, low absorption in visible light, and biocompatibility. In this work, we investigated the electrical, morphological and optical properties of heavily boron-doped diamond thin sheets as a function of methane concentration in the gas phase. Free-standing diamond sheets were fabricated using a microwave plasma-assisted...
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Crystallization of space: Space-time fractals from fractal arithmetic
PublicationFractals such as the Cantor set can be equipped with intrinsic arithmetic operations (addition, subtraction, multiplication, division) that map the fractal into itself. The arithmetics allows one to define calculus and algebra intrinsic to the fractal in question, and one can formulate classical and quantum physics within the fractal set. In particular, fractals in space-time can be generated by means of homogeneous spaces associated...
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On relations between gradient and classical equivariant homotopy groups of spheres
PublicationWe investigate relations between stable equivariant homotopy groups of spheres in classical and gradient categories. To this end, the auxiliary category of orthogonal equivariant maps, a natural enlargement of the category of gradient maps, is used. Our result allows for describing stable equivariant homotopy groups of spheres in the category of orthogonal maps in terms of classical stable equivariant groups of spheres with shifted...
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The effect of boron concentration on the electrical, morphological and optical properties of boron-doped nanocrystalline diamond sheets: Tuning the diamond-on-graphene vertical junction
PublicationIn this paper, the effect of boron doping on the electrical, morphological and structural properties of free-standing nanocrystalline diamond sheets (thickness ~ 1 μm) was investigated. For this purpose, we used diamond films delaminated from a mirror-polished tantalum substrate following a microwave plasma-assisted chemical vapor deposition process, each grown with a different [B]/[C] ratio (up to 20,000 ppm) in the gas phase....
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Drilling couples and refined constitutive equations in the resultant geometrically non-linear theory of elastic shells
PublicationIt is well known that distribution of displacements through the shell thickness is non-linear, in general. We introduce a modified polar decomposition of shell deformation gradient and a vector of deviation from the linear displacement distribution. When strains are assumed to be small, this allows one to propose an explicit definition of the drilling couples which is proportional to tangential components of the deviation vector....
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Existence and approximate solutions of Neumann problems
PublicationDyskutowany jest problem Neumanna dla równań różniczkowych drugiego rzędu.Praca dotyczy istnienia rozwiązań i zbieżnosci iteracji monotonicznych któresą przybliżonymi rozwiązaniami omawianych zagadnień. Określone zostały wa-runki zbieżności takich ciągów oraz określono rodzaj tej zbieżnosci.
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Evolution of magnetic and transport properties in (Cr1−xMnx)2AlC MAX-phase synthesized by arc melting technique
PublicationHerein we initiate a comeback to the arc melting technique to produce MAX-phase solid solutions. Bulk samples of (Cr1−xMnx)2AlC MAX-phase with X = 0, 0.025, 0.05 and 0.1 were synthesized and studied by means of X-ray diffractometry, scanning electron microscopy in combination with energy-dispersive X-ray spectroscopy. Samples were established to be homogeneous with an incorporation of Cr7C3, AlCr2 and Al2O3 secondary phases which...
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LINEAR & MULTILINEAR ALGEBRA
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Theory of Elasticity and Plasticity 2023
e-Learning CoursesThis course discusses the general theory of elastic and plastic material behavior of solids.
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Theory of Elasticity and Plasticity 2024
e-Learning CoursesThis course discusses the general theory of elastic and plastic material behavior of solids.
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Experimental study on shear localization in granular materials within combined strain and stress field
PublicationLokalizacja odkształceń stycznych w materiałach granulowanych była przedmiotem badań doświadczalnych podczas przemieszczania się sztywnej ścianki. Wykonano pomiary przemieszczeń stosując metodę korelacji obrazów cyfrowych. Natomiast pomiary średnich naprężeń wykonano stosując metodę foto-sprężystości. Zastosowano jako materiał granulowany piasek oraz szklane kulki.
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Application of Barkhausen method to determine internal stresses in cold-rolled and hot-rolled sheets
PublicationThe paper presents investigations on internal stress distribution in plane hot—or cold-rolled sheets dedicated for the cold-formed profiles. The motivation of the research is a new profile design whose bending technology, incorporating a longitudinal welded joint and hot-dip galvanization after bending and welding introduces additional internal stresses. In order to identify the entirety of stresses in the process of sheet production...
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Comparison of non-linear statical analysis of truss with linear and rotational side supports and 3d roof model
PublicationIn the paper geometrically non-linear analysis of example truss with linear and rotational elastic side supports is compared with geometrically non-linear analysis of part of the roof construction with purlins and truss-bracing. For different stiffness of side-supports a non linear relation between normal force in compressed chord due to out of truss plane displacement has been calculated.
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Space and Landscape in a Global Context
e-Learning CoursesModule SPACE AND LANDSCAPE IN A GLOBAL CONTEXT (2022/2023, autumn semester) Objective The objective of the module is to debate different approaches to managing spatial development and contemporary issues in a global context. The course is founded on the students' knowledge about urban planning and instruments used to make them better places both for people and the environment. Course proceedings Lectures and classes run online...
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A fast procedure of stress state evaluation in magnetically anisotropic steels with the help of a probe with adjustable magnetizing field direction
PublicationThe paper presents a novel approach to the stress state evaluation issue. It deals with a strongly (magnetically) anisotropic materials for which a direct interpretation of the Barkhausen effect (BE) intensity would lead to erroneous results. In such a case one has to take into account both the measured BE intensity and the orientation of the magnetisation direction relative to the magnetic easy axis. For the in plane stress distribution...
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Analysis of Accuracy of Modified Gradient Method in Indoor Radiolocalisation System
PublicationIn this paper a new method, called modified gradient method, has been proposed for position calculation on the basis of distance measurement in indoor environment. It is shown that well known method of position calculation such as Foy is inefficient in indoor environment. In this article is also described the indoor radiolocalisation system which was used for collecting distance measurements which were employed for further comparative...
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Strain-dependent behaviour of cold recycled material mixtures in cyclic compression tests
PublicationThe purpose of the study is to evaluate strain-dependent behaviour of Cold Recycled Material (CRM) mixtures using three frameworks typically applied for Hot Mix Asphalt (HMA): linear viscoelastic (LVE) limits; non-linearity directions; changes in rheological model parameters. To this aim, the complex modulus of three CRM mixtures with different bitumen-to-cement ratio (0.2, 0.6 and 1.8) was measured in cyclic compression mode,...
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Classification of homotopy classes of equivariant gradient maps
PublicationNiech V będzie ortogonalną reprezentacją zwartej grupy Liego Gi niech S(V),D(V) oznaczają sferę jednostkową i kulę jednostkową V.Jeżeli F jest G-niezmienniczą funkcją rzeczywistą klasy C^1 na Vto mówimy, że grad F (gradient F) jest dopuszczalny, jeżeli(grad F)(x) jest różny od zera dla x należących do S(V). Pracapoświęcona jest homotopijnej klasyfikacji dopuszczalnychG-niezmienniczych odwzorowań gradientowych.
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The Palais–Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
PublicationWe show that the Hamiltonian action satisfies the Palais-Smale condition over a “mixed regular- ity” space of loops in cotangent bundles, namely the space of loops with regularity H^s, s ∈ (1/2, 1), in the baseand H^{1−s} in the fiber direction. As an application, we give a simplified proof of a theorem of Hofer-Viterbo on the existence of closed characteristic leaves for certain contact type hypersufaces in cotangent bundles.
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Pile Model Tests Using Strain Gauge Technology
PublicationOrdinary pile bearing capacity tests are usually carried out to determine the relationship between load and displacement of pile head. The measurement system required in such tests consists of force transducer and three or four displacement gauges. The whole system is installed at the pile head above the ground level. This approach, however, does not give us complete information about the pile-soil interaction. We can only determine...
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The need for linear revitalization. Gdynia case
PublicationThe aim of the article is to discuss the need of defining and implementation of the linear revitalization - the new approach related to the revitalization processes. The results of the preliminary investigations indicate that this kind of revitalization seems to be an important tool supporting city management and planning, especially in cases of cities fragmentation - causing lack of physical, social, economic and ecological cohesion....
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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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Programowanie Liniowe (Linear Programming)
e-Learning CoursesMateriały do przedmiotów: - Badania operacyjne (1/3), kier: informatyka mgr stac. rok. 1. sem. 1. - Operational research (1/3), kier: informatyka mgr stac. (ang) rok. 1. sem. 1. - Badania operacyjne (1/2), kier: informatyka mgr niestac. rok. 2. sem. 3.
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ELECTIVE PROJECT II _sem 5_Green Story - Free Time Space
e-Learning CoursesThe topic of the course - Green Story - Free Time Space, joins green architecture and a place to spend free time - inside and outside – to read, to eat, to relax. The idea is to design green – to give back the greenery to the public square – to make a city space more friendly for users and more friendly to the environment. You can design a story, to make a space more attractive. You can design a Green Story, to make people more...
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NON-LINEAR MASTIC CHARACTERISTICS BASED ON THE MODIFIED MSCR (MULTIPLE STRESS CREEP RECOVERY) TEST
PublicationMastic containing asphalt in its composition is an example of a viscoelastic material. It is an effective binder in asphalt. It consists of a filler (<0.063 mm) and asphalt mixed in the right proportions. Just like in asphalt, its response depends on the temperature level, the load and stress time. Changing the stress stiffness of the mastic affects the non-linear course of the stress-strain relationship. Modelling of the non-linear...
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IN SEARCH OF A NEW EXHIBITION SPACE
PublicationThe buildings considered as raising the prestige and promoting cities are those related to culture. Their impact on urban life is undeniable, which is reflected in a continuous increase in the number of new museum buildings. Apart from places intrinsically linked with culture, which, as such, may be considered as standard - like museum, theatres or galleries - there also appear alternative places of development and promotion of...
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Stress-driven nonlocal elasticity for nonlinear vibration characteristics of carbon/boron-nitride hetero-nanotube subject to magneto-thermal environment
PublicationStress-driven nonlocal theory of elasticity, in its differential form, is applied to investigate the nonlinear vibrational characteristics of a hetero-nanotube in magneto-thermal environment with the help of finite element method. In order to more precisely deal with the dynamic behavior of size-dependent nanotubes, a two-node beam element with six degrees-of freedom including the nodal values of the deflection, slope and curvature...
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Space
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Existence of periodic orbits for a perturbed vector field
PublicationPrzy nałożeniu pewnego warunku na odwzorowanie Poincarego, wyrażonego w języku indeksów iteracji, dowodzi się istnienia orbit periodycznych dla zaburzonego pola wektorowego.
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Existence of solutions of differential equations with boundary conditions
PublicationPraca dotyczy równań różniczkowych z liniowym warunkiem brzegowym zależnym od parametru. Podane zostały warunki dostateczne na istnienie rozwiązania powyższego zagadnienia. Przy dowodzie i konstrukcji iteracji monotonicznych zastosowano metodę górnych i dolnych rozwiązań. O prawej stronie zagadnienia zakładano jednostronny warunek Lipschitza.
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COMPARISON OF SYSTEM ON CHIP TECHNOLOGIES FOR SPACE APPLICATIONS
PublicationThe paper presents a review of technologies available for the implementation of digital and mixed signal systems, particularly the system on a chip (SoC) for space applications. The phenomena encountered in the space environment are briefly presented, together with the known solutions, regarding the design of complex electronic systems. The most important norms regarding single die integrated circuits designed for space are also...
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Thermodynamically consistent gradient theory of damage coupled with gradient plasticity
PublicationPrzedstawiono termodynamicznie zgodną teorię plastycznego zniszczenia w zakresie mechaniki Newtona-Eshelbego. Poza klasycznymi równaniami ruchu w przestrzeni fizycznej sformułowano dynamiczne równania równowagi sił powiązanych z defektami w przestrzeni materialnej oraz pierwsze i drugie prawo termodynamiki w przestrzeni fizycznej i materialnej. Ogólne równania konstytutywne przyjęto jako funkcję gradientu deformacji, jego składników...
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Estimation of Selected Synchronous Generator Parameters Based on the Gradient Method
PublicationThe authors present a method for the estimation of synchronous generator model parameters using a gradient algorithm. The paper shows an example of model parameter estimation for a turbogenerator and hydrogenerator, based on the generator voltage time responses obtained during an active and reactive power rejection test.
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Meander anisotropic magnetoresistance bridge geomagnetic sensors
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ADVANCES IN SPACE RESEARCH
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Management in space industry WiMiO
e-Learning Courses