Temat: Metoda elementów skończonych - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Discontinuous Galerkin method for the three-dimensional problem of thermoelasticity
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Powiązania:: https://bibliotekanauki.pl/articles/122786.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: thermoelasticity
finite element method
discontinuous Galerkin method
termoelastyczność
metoda elementów skończonych
nieciągła metoda Galerkina
Opis:: The paper is focused on the mathematical and numerical approaches for the thermoelasticity problem in the three-dimensional domain. The mathematical description of considered problem is based on the second order differential equations of elasticity with the term describing thermal deformations. The numerical model uses the discontinuous Galerkin method which is widely used to solve the problems of hydrodynamics. The presented paper shows the possibility of using the mentioned method to solve the problem of thermomechanics.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 115-126
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Analysis of the three-dimensional thermoelasticity problem with the use of the continuous Galerkin method
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Powiązania:: https://bibliotekanauki.pl/articles/1839763.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: thermoelasticity
Finite Element Method
continuous Galerkin method
termosprężystość
metoda elementów skończonych
metoda Galerkina ciągła
Opis:: The paper focuses on the mathematical and numerical modelling of the thermoelasticity problem in the three-dimensional region. The governing equations of the mathematical model are a set of equilibrium equations. The numerical model uses continuous Galerkin formulation together with the Finite Element Method (FEM). Both models are discussed in detail. The final set of FEM equations is derived. The example of numerical calculations obtained with the use of an original computer program is presented. The main goal of presented paper is to develop the alternative model to the one based on the Discontinuous Galerkin Method (DGM).
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 111-121
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: The comparison of results obtained from the continuous and discontinuous Galerkin Method for the thermoelasticity problem
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Powiązania:: https://bibliotekanauki.pl/articles/2141510.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: thermoelasticity
finite element method
discontinuous Galerkin method
termosprężystość
metoda elementów skończonych
nieciągła metoda Galerkina
Opis:: The presented paper is focused on the comparison of the Continuous and Discontinuous Galerkin Methods in terms of thermoelasticity for a cubic element. For this purpose, a numerical model of the phenomenon was built using both methods together with the Finite Element Method (FEM). The comparison of the results of numerical simulation obtained with the use of an original computer program based on the derived final set of FEM equations for both methods is presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 3; 77-88
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Numerical model with explicit time integration scheme for tracking interfaces
Autorzy:: Węgrzyn-Skrzypczak, E.
Skrzypczak, T.
Powiązania:: https://bibliotekanauki.pl/articles/122473.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: moving interface
level set method
finite element method
metoda zbiorów poziomicowych
metoda elementów skończonych
Opis:: In this paper a simple and effective method for tracking interfaces in two-dimensional area is described. The presented approach is very attractive in solving Stefan problems where moving internal boundaries occur. It is based on the level set method (LSM) and uses the so-called distance function. A numerical model based on the finite element method (FEM) is proposed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 2; 111-116
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Identification of brains tissue hyperelastic parameters
Autorzy:: Kuś, W.
Poręba-Sebastjan, M.
Powiązania:: https://bibliotekanauki.pl/articles/122858.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: inverse problem
biomechanics
brain tissue
właściwości materiału
metoda elementów skończonych
biomechanika
tkanka mózgowa
Opis:: The goal of the paper is to correlate real brain deflection with its numerical model as the 3D model of a fragment of the brain and suction pipe. The model is analyzed with the Finite Element Method with use of Ansys software. The brain tissue can undergo large strains, which is why it is described by a hyperelastic material. The Mooney-Rivlin material model is used for numerical analyzes. The inverse problem is solved with use of optimization Non-Linear Programming by Quadratic Lagrangian (NLPQL).
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 53-60
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Real-time finite element simulations on an arm microcontroller
Autorzy:: Mucha, W.
Powiązania:: https://bibliotekanauki.pl/articles/122615.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: finite element method
real time
embedded systems
microcontroller
metoda elementów skończonych
mikrokontroler
systemy wbudowane
Opis:: Real time processing enables online reactions to dynamic environment changes. The author focuses on possibilities of implementing the Finite Element Method (FEM) to real time algorithms on microcontrollers. The paper presents the current state of the Real Time Finite Element Method (RTFEM) and describes results obtained by the author. The RTFEM for microcontrollers (with examples of use cases) is presented and results of the computations for the chosen platform are given. The results consider optimization of RTFEM computational algorithms for a microcontroller taking into account their execution time. All the tests were performed on the ARM-CortexM4F based STM32F429ZIT6 microcontroller. The obtained results were compared, discussed and presented in the paper.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 109-116
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Analytical validation of the Finite Element Method model for Laplace equation
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Skrzypczak, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/122738.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Laplace equation
Fourier’s method
Finite Element Method
równanie Laplace'a
metoda Fouriera
metoda elementów skończonych
Opis:: The presented paper is focused on the comparison of the numerical solution of the Laplace equation in a two-dimensional space with the results obtained with the use of the analytical method. The results of the numerical model are computed on the base of the Finite Element Method. The analytical solution of the considered equation is obtained using the Fourier series. Finally the results of both methods are compared in order to verify the accuracy of numerical implementation.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 97-106
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Analytical and numerical solution of the heat conduction problem in the rod
Autorzy:: Węgrzyn-Skrzypczak, E.
Skrzypczak, T.
Powiązania:: https://bibliotekanauki.pl/articles/122856.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat conduction equation
Fourier’s method
Finite Element Method
przewodzenie ciepła
metoda Fouriera
metoda elementów skończonych
Opis:: In this paper, the results of analytical and numerical solution of the problem of heat transport in the rod of finite length are presented. The analytical solution is obtained with the use of the Fourier series. The numerical model of the problem is based on the Finite Element Method (FEM). In addition, to check the compatibility of both solutions, distributions of the temperature for selected time moments are compared and discussed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 4; 79-86
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Comparative analysis of numerical simulations of blood flow through the segment of an artery in the presence of stenosis
Autorzy:: Shaikh, Fozia
Shaikh, Asif Ali
Hincal, Evren
Qureshi, Sania
Powiązania:: https://bibliotekanauki.pl/articles/24201504.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: incompressible
isothermal
blood flow
stenosis
finite element method
izotermiczność
przepływ krwi
zwężenie
metoda elementów skończonych
Opis:: A mathematical model is developed to study the characteristics of blood flowing through an arterial segment in the presence of a single and a couple of stenoses. The governing equations accompanied by an appropriate choice of initial and boundary conditions are solved numerically by Taylor Galerkin’s time-stepping equation, and the numerical stability is checked. The pressure, velocity, and stream functions have been solved by Cholesky’s method. Furthermore, an in-depth study of the flow pattern reveals the separation of Reynolds number for the 30 and 50% blockage of single stenosis and 30% blockage of multi-stenosis. The present results predict the excess pressure drop across the stenosis site than it does for the inlet of the artery with single and multiple stenosis and the increase in the velocity is observed at the center of the artery.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 49--61
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: 3D model of thermal interactions between human forearm and environment
Autorzy:: Duda, M.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/122811.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
temperature field in forearm domain
finite element method
przepływ biociepła
metoda elementów skończonych
Opis:: Thermal processes in the domain of a human forearm are considered. The external surface of forearm is in the direct thermal contact with the environment. The steady state problem is considered. From the mathematical point of view, the task is described by the system of the Poisson-type equations, the boundary conditions given on the contact surface between tissue sub-domains, the boundary conditions determining heat transfer between blood vessels and tissue and the boundary conditions on the external surface of the system. The non-homogeneous forearm domain is reconstructed as accurately as possible (3D task). At the stage of numerical modelling, the finite element method has been used. In the final part of the paper the example of computations is presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 3; 17-23
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 11.

Tytuł:: Numerical analysis of stress distribution generated in polyethylene inserts by knee joint endoprotheses’ sleds made of different titanium alloys
Autorzy:: Nabrdalik, M.
Powiązania:: https://bibliotekanauki.pl/articles/122344.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: endoprosthesis
FEM
finite elements method
contact stress
titanium alloys
endoproteza
metoda elementów skończonych
naprężenia
stopy tytanu
Opis:: The paper presents analysis of stress distribution in the friction node of knee joint endoprosthesis where sleds are made of various titanium and CoCrMo alloys and cooperate with flat polyethylene inserts. Currently used titanium alloys consist of Nb, Ta, Zr or Mo and with lesser value of Young’s modulus than Ti6Al4V alloy, or steel CoCrMo, which significantly varies from other metal materials. The analysis was conducted with numerical method of ADINA System 8.6. The Finite Elements Method makes it possible to compute and present stress distribution quickly in all elements of the model.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 107-114
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 12.

Tytuł:: Mathematical and numerical basis of binary alloy solidification models with substitute thermal capacity. Part 1
Autorzy:: Węgrzyn-Skrzypczak, E.
Skrzypczak, T.
Powiązania:: https://bibliotekanauki.pl/articles/122433.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: solidification
substitute thermal capacity
modeling
finite element method
krzepnięcie
zastępcza pojemność cieplna
modelowanie
metoda elementów skończonych
Opis:: The presented work is focused on the basis of mathematical and numerical descriptions of the binary alloy solidification problem. The mathematical formulation is based on the so-called substitute thermal capacity, which implies a change in the specific heat of solidifying material. In the literature one can find many ways to define this parameter. Five models, differing in the description of the substitute thermal capacity as well as the numerical model using the finite element method (FEM) are considered.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 135-140
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 13.

Tytuł:: Modeling of mechanical phenomena in the platinum-chromium coronary stents
Autorzy:: Idziak-Jabłońska, A.
Karczewska, K.
Kuberska, O.
Powiązania:: https://bibliotekanauki.pl/articles/122550.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: mathematics
computational mechanics
platinum-chromium stent
FEM
SolidWorks
stent wieńcowy
mechanika obliczeniowa
metoda elementów skończonych
analiza wytrzymałościowa
Opis:: This study discusses the geometrical model of a coronary stent with known design and strength analysis using the finite element method. The coronary stent model was made of platinum and chromium alloy. Static analysis based on compression of the coronary stent was also performed. The aim of the analysis was to examine the strength of the stent structure. The study analyzed stresses, plastic strains and displacements after applying a constant load to the stent walls. The mechanical phenomena such as percentage degree of shortening (foreshortening), relative narrowing and area of stent covering were also determined.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 4; 29-36
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 14.

Tytuł:: Numerical calculations of the potential on the rectangular and ellpitic domains with various aspect ratios
Autorzy:: Panahi, S.
Ghassemi, H.
Nowruzi, H.
Powiązania:: https://bibliotekanauki.pl/articles/122978.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: boundary element method
rectangular and elliptic domains
potential value
metoda elementów skończonych
równanie Laplace'a
współczynnik kształtu
Opis:: In the current study, the Laplace equation is solved for rectangular and elliptical computational domains by using the boundary element method (BEM). For this accomplishment, 120 different aspect ratios in a rectangular and elliptical computational domains are designed. The Dirichlet and Neumann boundary conditions are used respectively for a rectangular and elliptical domains. Also, the Gaussian quadrature integral method is applied to solve the influence coefficient matrix in BEM. To assess a different aspect ratio on the potential solution, two different measurement positions are intended. According to our finding, with an increase of the aspect ratio, the potential value is increased for both rectangular and elliptical domains. However, a potential increment with aspect ratio enhancement is more visible in the elliptical domain.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 73-83
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 15.

Tytuł:: Numerical modeling of the solidification process with consideration of shrinkage cavities formation and the influence of solid phase content on the feeding of the casting
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Skrzypczak, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/24201503.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: solidification process
finite element method
shrinkage cavity
computational mechanics
proces krzepnięcia
metoda elementów skończonych
jama skurczowa
mechanika komputerowa
Opis:: The paper focuses on the numerical modeling of the three-dimensional solidification process of steel using the finite element method (FEM). The model includes and discusses the formation of shrinkage cavities and the influence of the solid phase content on the feeding of the casting through the riser. The analysis assumed a critical value of the solid phase content, at which the transport of liquid phase from the riser to the casting is interrupted. The results of numerical simulation are presented to investigate the influence of this factor on the final quality of the casting. The model neglects the fluid motion in the liquid and solid-liquid regions and replaces the influence of the mold with appropriate boundary conditions.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 75--86
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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