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  1. 30 International Journal of Applied Mechanics and Engineering
  2. 6 Applied Mechanics and Engineering
  3. 4 Acta Mechanica et Automatica
  4. 4 Archives of Civil and Mechanical Engineering
  5. 4 Zeszyty Naukowe Politechniki Częstochowskiej. Budownictwo
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  1. 9 Kumar R.
  2. 3 Ailawalia P.
  3. 3 Tomar S. K.
  4. 2 Hrytsuk M.
  5. 2 Kazberuk A.
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  1. 2 2022
  2. 2 2021
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1
Content available Stress-strain state simulation of non-uniformly heated elements of components and assemblies of automotive
Hrevtsev O., Selivanova N., Popovych P., Poberezhny L., Brych V. Ya., Rudyak Yu., Shevchuk O., Bakulina N., Rozum R., Buriak M.
Journal of Achievements in Materials and Manufacturing Engineering
|
2022
|
Vol. 115, nr 1
26--32
EN
Purpose: Develop a method for determining and evaluating the stress-strain state, particularly the distribution of thermomechanical stresses in the materials of individual rotating parts of vehicles. Design/methodology/approach: The proposed method is based on the principle of gradual approximations of the solution when the boundary conditions are satisfied on the curvilinear limiting surfaces of the disk body. Findings: The proposed method of determining and estimating the distribution of thermomechanical stresses in the disk material makes it possible to take into account the variable geometry: thickness and presence of a hole in the central part of the disk, also correctly determine stress-strain state at any point of unevenly heated rotating axial body. Research limitations/implications: The work uses generally accepted assumptions and limitations for thermomechanical calculations. Originality/value: It is proved that in real disks, the stress-strain state is spatial, and the well - known method based on the hypotheses of the plane-stress state does not provide the possibility of calculating the values of stresses in the thickness of the disk. The obtained results can be used to improve the methodology of auto technical examination of road accidents. In addition, they can be taken into account by bus drivers on urban routes when choosing a safe distance in heavy traffic, as well as design engineers of car brake systems.
2
Content available remote Analytical and parametric analysis of thermoelastic damping in circular cylindrical nanoshells by capturing small-scale effect on both structure and heat conduction
Li Ming, Cai Youjie, Bao Li, Fan Rui, Zhang Hongbin, Wang Hongyan, Borjalilou Vahid
Archives of Civil and Mechanical Engineering
|
2022
|
Vol. 22, no. 1
art. no. e14, 2022
EN
This article intends to examine thermoelastic damping (TED) in circular cylindrical nanoshells by considering small-scale effect on both structural and thermal areas. To fulfill this aim, governing equations are extracted with the aid of nonlocal elasticity theory and dual-phase-lag (DPL) heat conduction model. Circular cylindrical shell is also modeled on the basis of Donnell–Mushtari–Vlasov (DMV) equations for thin shells. By inserting asymmetric simple harmonic oscillations of nanoshell into motion, compatibility and heat conduction equations, the size-dependent thermoelastic frequency equation is obtained. By solving this equation and deriving the frequency of nanoshell affected by thermoelastic coupling, the value of TED can be calculated through complex frequency approach. Results of this investigation are given in two sections. First, to appraise the validity of presented formulation, a comparison study is conducted between the results of this work in special cases and those reported in the literature. Next, by providing several numerical data, a detailed parametric study is performed to highlight the profound impact of nonlocality and dual-phase-lagging on TED value in simply supported cylindrical nanoshells. The influence of some determining factors such as mode number and type of material on TED is also evaluated.
3
Content available Accuracy assessment of linear elasticity solution for interaction of cylindrical tank with subsoil
Lewiński Paweł Marek
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2021
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Vol. 69, nr 1
art. no. e136039
EN
The subject of this paper is an assessment of the accuracy of a solution based on the linear theory of elasticity describing the interaction of a cylindrical reinforced concrete tank with the subsoil. The subsoil was modelled in the form of an elastic half-space and Winkler springs. The behaviour of the shell structure of the RC cylindrical tank, and particularly of the ground slab interacting with the subsoil, depends largely on the distribution of the reactions on the foundation surface. An analysis of this structure with the shell fixed in a circular ground slab was carried out taking into consideration the elastic half-space model using the Gorbunov-Posadov approach and, for comparison, the two-parameter Winkler model. Although the results for both subsoil models proved to be divergent, the conclusions that follow the accuracy assessment of a solution based on the theory of elasticity are fairly important for engineering practice.
4
Content available remote Three-dimensional exact elastic analysis of nanoplates
Wang Guoping, Zhang Yu, Arefi Mohammed
Archives of Civil and Mechanical Engineering
|
2021
|
Vol. 21, no. 3
63--76
EN
This work investigates the application of three-dimensional nonlocal elasticity theory to elastic static analysis of nanoplates. Unlike all previous papers that considered two-dimensional Laplacian operator to stress components, this work uses the general three-dimensional nonlocal operator with thickness direction operator. The displacement field of nanoplate is assumed a function of three-dimensional coordinate x, y, z. The principle of virtual work is used to derive the governing equations. A solution procedure is developed for simply supported nanoplate. The solution along the thickness direction is derived using the characteristic equation and application of boundary conditions including free transverse shear stress and applied normal stress. The eigenvalue–eigenvector methodology is used to extract general solution along the transverse direction. The stress and deformation distribution along the transverse direction is presented with changes of significant parameters such as nonlocal parameter and aspect ratio.
5
Content available Thermo-mechanical stress analysis of dissimilar material joints using FEM
Somadder Somnath
Journal of Mechanical and Energy Engineering
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2020
|
Vol. 4, No 2
147--153
EN
This article presents numerical investigation of isotropic dissimilar material joints. Dissimilar material joints are broadly used in in various structures, including offshore, nuclear, electronic packaging, IC chip and spacecraft various fields of science and technology. In bi-material joints two different material are bonded with common interface region. High stress concentration occur at the interface of the joint under thermo-mechanical loadings due to the difference in the elastic properties and the thermal expansion coefficients of dissimilar materials.The stresses acting along the interface of dissimilar material joints are very important to determine whether the structure is reliable or not for operation. The main purpose of this research is to provide finite element solutions to predict the stress distribution at the interface of the joint based on the theory of elasticity.
6
Content available Analiza statyczna cylindrycznego zbiornika żelbetowego na wodę
Prusiel Jolanta Anna, Szczech Marcin
Builder
|
2020
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R.24, nr 4
76--79
PL
W artykule przedstawiono wyniki analizy statycznej wpływu przyjętego modelu obliczeniowego na wartości sił wewnętrznych w konstrukcji zbiornika. Do analizy przyjęto monolityczny żelbetowy zbiornik cylindryczny na wodę o średnicy D=6,6 m i wysokości H=6,0 m. Obliczenia statyczne wykonano metodą analityczną (wg teorii powłok i teorii sprężystości) oraz dla trzech modeli obliczeniowych zbiornika z zastosowaniem metody elementów skończonych. Analizowano wpływ podatnego styku w połączeniu ściany z płytą denną i uwzględnienie współpracy konstrukcji zbiornika z podłożem gruntowym. Przeprowadzono analizę porównawczą uzyskanych wartości momentów zginających w płycie dennej oraz momentów południkowych, sił południkowych i równoleżnikowych w cylindrycznej ścianie.
EN
The paper presents results of static analysis of the impact of the adopted computational model on the values of internal forces in a tank structure. A monolithic cylindrical RC water tank of 6.6 m in diameter and 6.0 m in height was used for analysis. Static computations are made using analytical method (according to shell theory and theory of elasticity) and for three tank models the finite element method is used. The impact of elastic contact zone in the connection of the wall with the bottom plate is analysed. Additionally, the model accounts for the interaction of the tank structure with the ground substrate. A comparative analysis of the resulting values of bending moments in the bottom plate as well as vertical moments, vertical and circumferential forces in the cylindrical wall is carried out.
7
Content available Transient vibrations of an elastic cylinder inserted in the elastic medium
Sulym H., Timar I., Turchyn I.
Acta Mechanica et Automatica
|
2016
|
Vol. 10, no. 2
133--136
EN
Using method of Laguerre polynomials we have obtained the solution of the dynamic problem of the theory of elasticity for elastic cylinder inserted into massive body modeled as a space. The source of non-stationary processes in composite is high intensity force load of the inner surface of the cylinder. On the surface separation of materials of space and cylinder the conditions of ideal mechanical contact are satisfied. The solution is obtained as series of Laguerre polynomials, which coefficients are found from recurrent relations. The results of numerical analysis of transient stress-strain state in elastic space with cylindrical insertion might be used for the technological process of hydraulic fracturing during shale gas extraction.
8
Content available remote Mechanics of adhesive joints as a plane problem of the theory of elasticity. Part II: Displacement formulation for orthotropic adherends
Rapp P.
Archives of Civil and Mechanical Engineering
|
2015
|
Vol. 15, no. 2
603--619
EN
The present paper is a continuation of the general formulation discussed in the paper: Mechanics of adhesive joints as a plane problem of the theory of elasticity. Part I: general formulation, Archives of Civil and Mechanical Engineering 10 (2) (2010). Adhesive joints between adherends of varying thickness, made of various orthotropic materials are considered. The adhesive surface can be curved and shapes of the adherends are arbitrary. The joints can be loaded with shear stress distributed arbitrarily on the adherend surfaces as well as by normal and shear stresses of any distribution along the adherend edges. The problem is formulated in terms of displacements in the form of four partial differential equations of the second order. The boundary conditions allow for existence of sharp edges of adherends. Notions of the obtuse sharp edge and the tangent sharp edge are introduced. The presented examples include complete solutions within the framework of the plane theory of elasticity for adhesive joints with adherends of constant thickness and adherends of varying thickness and curved adhesive surface. The influence of sharp edges on the reduction of stress concentration in the adhesive and the adherends is illustrated. The assumptions, notation and equations presented in the general formulation of Part I are used.
9
Content available On the convergence of domain decomposition algorithm for the body with thin inclusion
Styahar A., Savula Y.
Acta Mechanica et Automatica
|
2015
|
Vol. 9, no. 1
27--32
EN
We consider a coupled 3D model that involves computation of the stress-strain state for the body with thin inclusion. For the description of the stress-strain state of the main part, the linear elasticity theory is used. The inclusion is modelled using Timoshenko theory for shells. Therefore, the dimension of the problem inside the inclusion is decreased by one. For the numerical solution of this problem we propose an iterative domain decomposition algorithm (Dirichlet-Neumann scheme). This approach allows us to decouple problems in both parts and preserve the structure of the corresponding matrices. We investigate the convergence of the aforementioned algorithm and prove that the problem is well-posed.
10
Content available remote An analytical globar-local Taylor transformation-based vibration solution for annular FGM sandwich plates supported by nonuniform elastic foundations
Alipour M. M., Shariyat M.
Archives of Civil and Mechanical Engineering
|
2014
|
Vol. 14, no. 1
6--24
EN
Free vibration of functionally graded annular sandwich plates resting on Winkler-type elastic foundations is investigated based on a zigzag global–local plate theory and a finite Taylor's transform whose center is located at the outer edge. Material properties of each layer may be graded in the transverse direction according to a power law. It is the first time that a global–local theory is combined with a layerwise analytical solution for analysis of the annular functionally graded sandwich plates. Various edge conditions are considered for the inner and outer edges. A parametric study including evaluating effects of the material properties distributions of the core and face sheets, symmetric and asymmetric layups, thickness to radius ratio of the plate, inner to outer radius ratio, coefficient of the elastic foundation, and the edge conditions on vibration behavior of the annular plate is carried out. Accuracy of the employed sandwich plate theory and the presented analytical solution are verified by comparing present results with those of the three-dimensional theory of elasticity extracted from ABAQUS software.
11
Analiza wpływu rozmieszczenia i liczby punktów kolokacji na dokładność metody PURC dla zagadnień teorii sprężystości w obszarach wielościennych 3D
Zieniuk E., Szerszeń K.
Modelowanie Inżynierskie
|
2013
|
T. 15, nr 46
127--133
PL
Celem niniejszej pracy jest zbadanie wpływu liczby oraz sposobu rozmieszenia punktów kolokacji na dokładność i stabilność rozwiązań uzyskiwanych za pomocą parametrycznych układów równań całkowych (PURC). Analizę przeprowadzano dla brzegowych zagadnień 3D modelowanych równaniami Naviera-Lamégo z obszarami wielościennymi. Numeryczne rozwiązywanie PURC sprowadza się do rozwiązywania układów równań algebraicznych, które są zapisywane w punktach kolokacji. Liczba tych punktów oraz ich rozmieszczenie ma istotny wpływ na dokładność i stabilność rozwiązań.
EN
The purpose of this paper is to study the influence of number and arrangement of collocation points on the accuracy and stability obtained by parametric integral equation method (PIES). This analysis has been performed for 3D boundary value problems modeled by Navier-Lamé equations in polyhedral domains. Numerical solution of the PIES comes down to solving algebraic equations, written at collocation points. The number of these points and their arrangement have a significant impact on the accuracy and stability of the solutions.
12
Content available remote The pile stiffness in a piled-raft foundation
Kutera B., Kacprzak G.
Czasopismo Techniczne. Budownictwo
|
2013
|
R. 110, z. 2-B
59--69
EN
The paper presents the trial of the theory of elasticity application to estimate pile stiffness in a combined piled-raft foundation. Two methods were applied: a simplified numerical model and closed-form analytical solution. Results were compared with the field tests
PL
Artykuł przedstawia próbę zastosowania teorii sprężystości do oceny sztywności pala w fundamencie zespolonym płytowo-palowym w celu oszacowania osiadań konstrukcji. Zaprezentowano dwie metody obliczenia: uproszczony model komputerowy oraz rozwiązanie analityczne. Wyniki skonfrontowano z rezultatami badań polowych.
13
Stephen P. Timoshenko : klasyk, uczony i nauczyciel mechaniki teoretycznej i stosowanej
Szcześniak W.
Logistyka
|
2012
|
nr 3
PL
W referacie plenarnym omówiono wkład S. P. Timoshenki w rozwój mechaniki teoretycznej i przede wszystkim Jego wkład do mechaniki technicznej-stosowanej. Jest to referat okolicznościowy z okazji 40 rocznicy śmierci tego Uczonego. Podano skrócony Ŝyciorys Timoshenki, przedstawiono monografie i podręczniki wychodzące w świat do tej pory. Omówiono osiągnięcia naukowe w mechanice w okresie przedrewolucyjnym w Rosji Carskiej do 1920 roku, następnie na emigracji w Chorwacji i USA. Przedstawiono związki Profesora z Polską i polskimi uczonymi tego okresu. W końcu omówiono kilka prac autora referatu, w których pośrednio lub bezpośrednio wykorzystano idee Timoshenki. Referat przygotowano na podstawie przede wszystkim autobiografii S. P. Timoszenki.
EN
The paper presents the contribution of Timoshenko to the development of theoretical mechanics and his contributions to engineering and applied mechanics. This is a occasional lecture on the 40th anniversary of the death of the scientist. The biography of Timoshenko is presented as well as outgoing monographs and textbooks in the world so far. Discusses the scientific achievements in mechanics during the pre-revolutionary Tsarist Russia until 1920, then in exile in Croatia and the USA. Professor's compounds with Poland and with Polish scholars of the period are presented. Finally, some of the author's papers, in which directly or indirectly Timoshenko's ideas used, are discussed. The paper has been prepared on the basis of Timoshenko's autobiography most of all.
14
Content available remote The Fourier method in three-dimensional dynamical problems of the hemitropic theory of elasticity
Bezhuashvili Y., Rukhadze R.
Journal of Mathematics and Applications
|
2012
|
Vol. 35
5--21
EN
The basic three-dimensional dynamical problems for a hemitropic (non-centrally symmetric) micropolar elastic medium are considered. Using the Fourier method, the solvability of the formulated by us problems is proved in a classical sense.
15
Zastosowanie adaptacyjnej metody elementów skończonych typu hp w analizie statycznej konstrukcji prętowych
Tews R., Gajewski J.
Ekologia i Technika
|
2012
|
R. 20, nr 6
371-378
PL
Adaptacyjna metoda elementów skończonych jest współcześnie rozwijaną metodą numeryczną stosowaną w różnych dziedzinach fizyki i techniki. Dzięki możliwości automatycznego doboru rozmiaru elementu skończonego i stopnia jego aproksymacji pozwala ona na uzyskiwanie bardzo dużej dokładności uzyskiwanych wyników. Jest to możliwe dzięki odbywającej się, w trakcie procesu obliczeniowego, kontroli błędu rozwiązania. W artykule zaprezentowano problematykę wykorzystania adaptacyjnej metody elementów skończonych typu hp do obliczeń statycznych konstrukcji prętowych. Przedstawiono model trójwymiarowej teorii sprężystości oraz sposób jego implementacji w metodzie elementów skończonych. W zwięzły sposób opisano istotę i występujące rodzaje technik adaptacyjnych metody elementów skończonych. Podany został również ogólny algorytm adaptacji siatki elementów skończonych, stosowany w technice hp. Wskazano podstawowe zalety i wady omawianego w artykule podejścia do numerycznej analizy konstrukcji. Przedstawione w artykule przykłady numeryczne pokazują, że możliwe jest zastosowanie prezentowanej metody do analizy konstrukcji prętowych. Uzyskiwane wyniki są zbliżone do rozwiązań otrzymywanych innymi uznanymi metodami.
EN
Adaptive Finite Element Method is a numerical method nowadays developed and used in various fields of physics and engineering. Thanks to the automatic selection of the finite element, size and the degree of approximation, it allows to obtain a very high accuracy of the results. This is possible thanks to the error control solution during the process of calculation. The article presents the problem of the use of hp-adaptive Finite Element Method for static analysis of bar structures. The model of the three-dimensional theory of elasticity and the way of its implementation in the Finite Element Method is also presented. In a concise way described the essence and types of adaptive techniques of the Finite Element Method. A general adaptation algorithm of finite element mesh used in hp technology is also given. Indicated the main advantages and disadvantages of the numerical analysis of the structures using the hp approach. The numerical examples submitted in the article show that it is possible to apply the hp method for the analysis of bar structures. The results obtained are similar to the solutions obtained other recognized methods.
16
Content available remote Equations of elasticity theory in a helical coordinate system
Todorov M., Draganov I.
Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
|
2010
|
z. 81 [277]
103-114
EN
The present research provides working out the equations of solid elastic continuum in non-orthogonal helical coordinate system. A comparison has been drawn with regard to known equations of static, geometry and physics in a cylindrical coordinate system. Some examples have been provided solution to.
17
Content available O pewnych zagadnieniach mechaniki pękania ciał z ostrymi i zaokrąglonymi karbami V
Savruk M., Kazberuk A.
Acta Mechanica et Automatica
|
2010
|
Vol. 4, no. 3
113-123
PL
Przedstawiono przegląd badań z zakresu mechaniki pękania ciał stałych z karbami typu V. Część pierwszą poświęcono metodom rozwiązywania płaskich zadań teorii sprężystości dla obszarów z punktami kątowymi na konturach brzegowych. Zwrócono szczególną uwagę na opracowane przez Autorów jednolite podejście do rozwiązywania zagadnień koncentracji naprężeń w otoczeniu karbów ostrych i zaokrąglonych w obszarach sprężystych. W drugiej części przeanalizowano kryteria pękania ciał z karbami. Na podstawie rozwiązania zagadnienia sprężysto-plastycznego w ramach modelu pasm plastyczności, nieskończonego zaokrąglonego karbu w płaszczyźnie, zaproponowano nowe odkształceniowe kryterium pękania ciał z takimi karbami.
EN
The review of research in the field of fracture mechanics of solids with V-shaped notches was presented. First, we analyzed methods for solving two-dimensional problems of elasticity for domains with angular points. We considered numerical methods of finite and boundary elements, boundary collocation and method of singular integral equations. Particular attention was paid to a unified approach to solving problems of stress concentration near the sharp and rounded V-notches. This approach is based on applying the method of singular integral equations for elastic domains with rounded corners, i.e. the areas with a smooth border. Using modern computers and new methods of calculating quasi-singular integrals allowed obtaining solutions of problems for very small radii of curvature at the notch apex. Applying limit transition we found the stress intensity factors in sharp V-notch vertices. Some known and new results were obtained by this approach. Then, we considered the fracture criteria of solids with notches. Based on the solution of the problem of rounded V-notch with plastic strip at top a new deformation fracture criterion was proposed.
18
Content available Konstruowanie rozwiązań wybranych trójwymiarowych zagadnień teorii sprężystości ośrodków niejednorodnych
Kulczycki-Żyhajło R., Bajkowski A.
Acta Mechanica et Automatica
|
2010
|
Vol. 4, no. 2
99-106
PL
Rozpatrzono pierwsze i drugie zagadnienie teorii sprężystości dotyczące półprzestrzeni niejednorodnej składającej się z jednorodnego podłoża i niejednorodnej warstwy wierzchniej o zmieniających się wzdłuż grubości warstwy właściwościach mechanicznych. Zaproponowano algorytm konstruowania rozwiązań trójwymiarowych równań teorii sprężystości.
EN
First and second problems of the elasticity theory is considered for a non-homogeneous half-space. The body was composed of a non-homogeneous surface layer and a homogeneous half-space. It is assumed that the mechanical properties of coating material are dependent on the depth. The algorithm of solutions to the equations of three-dimensional theory of elasticity is presented.
19
Content available remote Generalized Thermo-Viscoelasticity under Three Theories
Othman M. I. A.
Mechanics and Mechanical Engineering
|
2009
|
Vol. 13, nr 1
25-44
EN
The model of the equations of the two-imensional generalized thermo-viscoelasticity based on Lord-Shultnan (L-S), Green and Lindsay (G-L) and Classical dynamical-coupled (CD) theories are studied. The normal mode analysis is used to obtain the exact expressions for the temperature distribution, displacement components, and the thermal stresses. The resulting formulation is applied to two different concrete problems. The first concerns to the case of a heat, punch across the surface of a semi-infinite thermo-viscoelastic half-space subject to appropriate boundary conditions. The second deals with a plate with thermo-isolated surfaces subjected to a time-dependent compression. A comparison is carried out between temperature, displacement and stress as calculated for each problem from view of the different theories of generalized thermo-viscoelasticity. Numerical results are given and illustrated graphically. Comparisons are made with the results predicted by three theories. The analysis presented in this paper is more general than any previous investigation.
20
Content available remote Zagadnienia odwrotne mechaniki kontaktu
Witkowski J.
Prace Naukowe Akademii im. Jana Długosza w Częstochowie. Edukacja Techniczna i Informatyczna
|
2008
|
T. 3
35-48
EN
The aim of this paper is to remind the set of theoretical problems of contact which are the basis for formulating and verification of the contemporary approximate methods of contact mechanics of real bodies.
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