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Journal of Applied Mathematics and Computational Mechanics
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Journal of Rock Mechanics and Geotechnical Engineering
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Mechanics I, T, DaPE, sem. 02, summer 21/22, (PG_00050273)
e-Learning CoursesTeaching students the basic laws of mechanics and develope skills tosolve practical problems in the field of statics and kinematics.
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Fluid Mechanics PG 00049759 Wykład+Ćwiczenia, sem. 4, lato 2024
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Fluid Mechanics and Hydraulics EE Msc sem. I r.a. 22/23
e-Learning CoursesBasic definitions. Physical properties of liquids. Forces acting on fluids. Hydrostatics - basic equations. Pressure on a flat and curved wall. Buoyancy. Archimedes' law. Balance of submerged bodies. The balance of floating bodies. Hydrodynamics. Hydrodynamic quantities. Continuity equation for the liquid stream. Bernoulli equation. Basic laws of hydrodynamics. Equation of mass behavior, preservation of the amount of motion, Bernoulli's...
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Fluid Mechanics and Hydraulics EE Msc sem. I r.a. 23/24
e-Learning CoursesBasic definitions. Physical properties of liquids. Forces acting on fluids. Hydrostatics - basic equations. Pressure on a flat and curved wall. Buoyancy. Archimedes' law. Balance of submerged bodies. The balance of floating bodies. Hydrodynamics. Hydrodynamic quantities. Continuity equation for the liquid stream. Bernoulli equation. Basic laws of hydrodynamics. Equation of mass behavior, preservation of the amount of motion, Bernoulli's...
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Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics
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Mechanics I, W/C, MiBM, sem. 02, lato 22/23 (PG_00050273)
e-Learning CoursesThe course provides students with basic knowledge of Classical Mechanics. Terms, assumptions, principles and methods of Statics, Kinematics and Kinetics are treated. General methods based on the principles of conservation of momentum and energy are considered for a particle, a body and a system of bodies. The main emphasis is on the development of skills to efficiently schematise, solve and analyse typical problems.
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Mechanics II, W/C, MiBM, sem. 03, zima 22/23 (PG_00055119)
e-Learning CoursesThe course provides students with basic knowledge of Classical Mechanics. Terms, assumptions, principles and methods of Statics, Kinematics and Kinetics are treated. General methods based on the principles of conservation of momentum and energy are considered for a particle, a body and a system of bodies. The main emphasis is on the development of skills to efficiently schematise, solve and analyse typical problems.
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Mechanics II, W/C, ZiIP, sem. 03, zima 23/24 (PG_00055119)
e-Learning CoursesThe course provides students with basic knowledge of Classical Mechanics. Terms, assumptions, principles and methods of Statics, Kinematics and Kinetics are treated. General methods based on the principles of conservation of momentum and energy are considered for a particle, a body and a system of bodies. The main emphasis is on the development of skills to efficiently schematise, solve and analyse typical problems.
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Mechanics I, W/C, ZiIP, sem. 02, lato 23/24 (PG_00050273)
e-Learning CoursesThe course provides students with basic knowledge of Classical Mechanics. Terms, assumptions, principles and methods of Statics, Kinematics and Kinetics are treated. General methods based on the principles of conservation of momentum and energy are considered for a particle, a body and a system of bodies. The main emphasis is on the development of skills to efficiently schematise, solve and analyse typical problems.
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Mechanics II, W/C, ZiIP, sem. 03, zima 24/25 (PG_00055119)
e-Learning CoursesThe course provides students with basic knowledge of Classical Mechanics. Terms, assumptions, principles and methods of Statics, Kinematics and Kinetics are treated. General methods based on the principles of conservation of momentum and energy are considered for a particle, a body and a system of bodies. The main emphasis is on the development of skills to efficiently schematise, solve and analyse typical problems.
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Building Mechanics I ERASMUS (PG_00049121) 2019/2020 - 2nd sem. of bachelor studies
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Fluid Mechanics, LEC/LAB, EaPE (Dezhou), sem.5, winter 23/24 (PG_00059698)
e-Learning CoursesThe aim of the course is to identify and demonstrate knowledge of the major concepts of fluid mechanics.
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Fluid Mechanics, W/C, EaPE (Dezhou), sem.5, zimowy 23/24 (PG_00059698)
e-Learning CoursesObjective of the subject is to supply the student with the theoretical and practical knowledge, enabling him to solve engineering computational and experimental problems related to fluid mechanics.
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Fluid Mechanics – LEC/LAB, EaPE (Dezhou), sem.5, winter 24/25, (PG_00059698)
e-Learning CoursesObjective of the subject is to supply the student with the theoretical and practical knowledge, enabling him to solve engineering computational and experimental problems related to fluid mechanics.
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Fluid Mechanics, L/L/E, DaPE, sem. 04, summer 21/22 (PG_00050282)
e-Learning CoursesLECTURES Introduction and basic definitions. Properties of fluids. Models of fluids. Fluids in equilibrium. Determination of hydrostatic forces. Archimedes" law. Methods of fluid flow description. General motion of fluid. Deformation of fluid element. Vortex motion of fluid. Principles of conservation of mass, momentum and energy. Balance of entropy. Navier-Stokes equation. Bernoulli equation. Similarity of flow phenomena. Potential...
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Technical Mechanics 2 (PG_00049753), I stop, En, [W,C], zima 22/23
e-Learning CoursesLectures and tutorials devoted to basic issues of Strength of Materials (stress and strain states, the Hook's law, geometrical properties of an area, bending, shearing, torsion, deflection lines of beams, buckling and yielding criteria).
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Fluid Mechanics, W/L/C, DaPE, sem. 4, letni 22/23 (PG_00050282)
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Fluid Mechanics L/E/L, DaPE, sem. 3, summer 23/24 (PG_00050282)
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Mechanics of materials (PG_00057378), W/Ć, BM, II stop., sem1,3, lato, 2023/24
e-Learning CoursesThe aim of this course is providing knowledge in the field of analysis and solving problems of mechanics and strength of one-dimensional systems (bars, beams, frames) and selected two-dimensional systems (shields, plates); preparing the student to solve problems involving complex cases of material strength; developing the ability to assess the stability of structural elements (forms of stability loss, critical forces); consolidation...
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Advanced Mechanics of Marine Structures I, MSc, Summer 2022-2023, [L,T], PG_00051723
e-Learning Courses1. Literature overview, definition of marine and offshore structures, ocean engineering technologies and mechanical aspects, structural systems applied, jack-up drilling platforms and structural elements. 2. Tensor algebra fundamentals, stress and small strain states of a solid, constitutive relations. 3. SDOF and MDOF dynamic systems, damping and added masses in offshore vibrations, generalised eigenvalue problem, forced vibrations...
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Mechanika płynów, W/L/C, MiBM, sem. 04, letni 21/22 (PG_00050289) Fluid Mechanics
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Performance of isotropic constitutive laws in simulating failure mechanisms in scaled RC beams
PublicationResults of numerical calculations of reinforced concrete (RC) beams are presented. Based on experimental results on longitudinally reinforced specimens of different sizes and shapes are investigated. Four different continuum constitutive laws with isotropic softening are used: one defined within continuum damage mechanics, an elasto-plastic with the Rankine criterion in tension and the Drucker-Prager criterion in compression, a...
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4-Node combined shell element with semi-EAS-ANS strain interpolationsin 6-parameter shell theories with drilling degrees of freedom
PublicationW pracy sformułowano 4-węzłowy powłokowy element skończony klasy C0, w ramach nieliniowej 6-parametrowej teorii powłok. W celu uniknięcia zjawiska blokady (locking effect) wykorzystano technikę EAS do niesymetrycznych odkształceń membranowych i ANS do odkształceń poprzecznych.Przedstawiono przykłady potwierdzające poprawność sformułowania.
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Enhanced coupled elasto-plastic-damage models to describe concrete behaviour in cyclic laboratory tests: comparison and improvement.
PublicationArtykuł omawia różne modele połączone sprężysto-plastyczne z degradacją sztywności do opisu zachowania się betonu pod obciążeniem cyklicznym. Modele zostały rozszerzone o długość charakterystyczną mikrostruktury w do opisu lokalizacji odkształceń. Wykonano obliczenia MES dla ściskania i zginania. Zaproponowano własny ulepszony model.
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Complex multidisciplinary optimization of turbine blading systems
PublicationThe paper describes the methods and results of direct optimization of turbine blading systems using a software package Opti_turb. The final shape of the blading is obtained from minimizing the objective function, which is the total energy loss of the stage, including the leaving energy. The current values of the objective function are found from 3D RANS computations (from a code FlowER) of geometries changed during the process...
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Three-dimensional fractographic analysis of total fracture areas in 6082 aluminium alloy specimens under fatigue bending with controlled damage degree
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Strain sequence effect on fatigue life and fracture surface topography of 7075-T651 aluminium alloy
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Application of Hybrid FEM-DIC Method for Assessment of Low Cost Building Structures
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Compression and Fatigue Testing of High-Strength Thin Metal Sheets by Using an Anti-Buckling Device
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Determination of free surface and gravitational flow of liquid in triangular groove
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Fatigue Damage Evolution in SS316L Produced by Powder Bed Fusion in Different Orientations with Reused Powder Feedstock
PublicationBackground Metal Laser Powder Bed Fusion Melting (LPBF-M) is considered economically viable and environmentally sustainable because of the possibility of reusing the residual powder feedstock leftover in the build chamber after a part build is completed. There is however limited information on the fatigue damage development of LPBF-M samples made from reused feedstock. Objective In this paper, the stainless steel 316 L (SS316L)...
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On Solvability of Boundary Value Problems for Elastic Micropolar Shells with Rigid Inclusions
PublicationIn the framework of the linear theory of micropolar shells, existence and uniqueness theorems for weak solutions of boundary value problems describing small deformations of elastic micropolar shells connected to a system of absolutely rigid bodies are proved. The definition of a weak solution is based on the principle of virial movements. A feature of this problem is non-standard boundary conditions at the interface between the...
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Strain sequence effect on fatigue life and fracture surface topography of 7075-T651 aluminium alloy
PublicationThe paper studies the effect of strain-loading sequence on fatigue lifetime and fracture surface topographies in 7075-T651 aluminum alloy specimens. Fatigue tests were performed in two ways: (i) constant-amplitude loading and (ii) two series of variable amplitude loading with non-zero mean strain values. The topography of the fatigue fractures was measured over their entire surfaces with the help of an optical confocal measurement...
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Tensile failure study of 3D printed PLA using DIC technique and FEM analysis
PublicationThe paper presents the experimental and numerical study of the failure behaviour of Fused Filament Fabricated (FFF) Polylactic Acid (PLA) samples subjected to tensile load. The examined samples are printed in flat orientation with 0◦, 45◦ and 90◦ raster angles. During the experiments the deformation of the specimens is continuously scanned with the 3D Aramis measuring system utilizing the digital imaging correlation technique,...
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High load capacity spur gears with conchoidal path of contact
PublicationThe present study is devoted to investigation of spur gears with a conchoidal path of contact and a convex-convex contact between teeth. The load capacity and energy efficiency were evaluated using both theoretical and experimental approaches. The theoretical analysis showed that the conchoidal gear pairs are 5–21% stronger in terms of contact stress and have similar energy efficiency as compared to the involute gear pairs of the...
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A Nonlinear Model of a Mesh Shell
PublicationFor a certain class of elastic lattice shells experiencing finite deformations, a continual model using the equations of the so-called six-parameter shell theory has been proposed. Within this model, the kinematics of the shell is described using six kinematically independent scalar degrees of freedom — the field of displacements and turns, as in the case of the Cosserat continuum, which gives reason to call the model under consideration...
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Non-uniqueness of fracture parameter choice in simulations of concrete cracking at mesoscale level
PublicationIn the paper a non-uniqueness of fracture parameter choice in simulations of cracking process in plain concrete specimens at mesoscale level under monotonic static loading is analysed. The Finite Element Method is used, where cracks are defined in a discrete way using interface cohesive elements with nonlinear material law including softening. The concrete mesostructure (such as: cement matrix, air voids, aggregates, and Interfacial...
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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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Effect of bending-torsion on fracture and fatigue life for 18Ni300 steel specimens produced by SLM
PublicationIn this study, different fracture surfaces caused by fatigue failure were generated from 18Ni300 steel produced by selective laser melting (SLM). Hollow round bars with a transverse hole were tested under bending-torsion to investigate the crack initiation mechanisms and fatigue life. Next, the post-failure fracture surfaces were examined by optical profilometer and scanning electron microscope. The focus is placed on the relationship...
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Effect of aggregate structure on fracture process in concrete using 2D lattice model
PublicationArtykuł przedstawia symulacje rys w betonie przy zastosowaniu nowego modelu siatkowego. Zbadano wpływ rozkładu i wielkości kruszywa oraz wpływ strefy kontaktu na nośność i propagacje rys. Obliczenia były dwuwymiarowe.
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Effect of steel fibres on concrete behavior in 2D and 3D simulations using lattice model.
PublicationW artykule przedstawiono wyniki numerycznej symulacji betonu zbrojonego włóknami stalowymi. Beton został opisany w skali mezo jako materiał 3-fazowy przy zastosowaniu modelu sieciowego. Obliczenia wykonano dla rozciągania jednoosiowego. Porównano ze sobą wyniki dwu- i trójwymiarowe.
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Notched concrete beams under bending - calculations of size effects within stochastic elasto-plasticity with non-local softening
PublicationW artykule przedstawiono wyniki numerycznej analizy efektów skali (efektu deterministycznego i stochastycznego) w belkach betonowych nacięciem poddanych zginaniu z uwzględnieniem lokalizacji odkształceń. Obliczenia wykonano przy zastosowaniu metody elementów skończonych i sprężysto-plastycznego modelu z nielokalnym osłabieniem. Pokazano wpływ wielkości belek na nośność z uwzględnieniem stochastycznego rozkładu wytrzymałości na...
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Application of DIC technique to concrete - study on objectivity of measured surface displacements
PublicationArtykuł omawia wyniki pomiarów szerokości lokalizacji odkształceń na powierzchni betonu podczas zginania belek. Wykonano obszerne studia nad obiektywnością pomierzonych przemieszczeń w betonie. Opracowano własna metodę do obliczeń szerokości lokalizacji.
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Biomimetics in Fluid Mechanics with practical application using CFD, S-30, WIMiO, Energetyka, II st., sem. 03, stacjonarne, (PG_00060130), semestr letni 2022/2023
e-Learning CoursesWykład wprowadza do procesu biomimetycznego, systematycznej procedury mającej na celu wykorzystania w technice rozwiązań z natury. Szczególny nacisk położony jest na zastosowania w mechanice płynów.
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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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On the material symmetry group for micromorphic media with applications to granular materials
PublicationWithin the framework of the theory of nonlinear elastic micromorphic continua we introduce the new definition of the local material symmetry group. The group consists of ordered triples of second- and third-order tensors describing such changes of a reference placement that cannot be recognized with any experiment. Using the definition we characterize the micromorphic isotropic media, micromorphic fluids, solids and special intermediate...
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Minimal surfaces and conservation laws for bidimensional structures
PublicationWe discuss conservation laws for thin structures which could be modeled as a material minimal surface, i.e., a surface with zero mean curvatures. The models of an elastic membrane and micropolar (six-parameter) shell undergoing finite deformations are considered. We show that for a minimal surface, it is possible to formulate a conservation law similar to three-dimensional non-linear elasticity. It brings us a path-independent...
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On the exact equilibrium conditions of irregular shells reinforced by beams along the junctions
PublicationThe exact, resultant equilibrium conditions for irregular shells reinforced by beams along the junctions are formulated. The equilibrium conditions are derived by performing direct integration of the global equilibrium conditions of continuum mechanics. New, exact resultant static continuity conditions along the singular curve modelling reinforced junction are presented. The results do not depend on shell thickness, internal through-the-thickness...