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    Wyświetlanie 1-11 z 11
    Tytuł:
    Antiplane deformation of a bimaterial with thin interfacial nonlinear elastic inclusion
    Autorzy:
    Sulym, H.
    Piskozub, Y.
    Polanski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/386464.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    antiplane deformation
    longitudinal shear
    nonlinear elasticity
    interfacial crack
    thin inclusion
    stress intensity factor
    bimaterial
    jump function
    singular integral equation
    Opis:
    The problem of longitudinal shear of bimaterial with thin nonlinear elastic inclusion at the interface of matrix materials is considered. Solution of the problem is constructed using the boundary value problem of combining analytical functions and jump functions method. The model of the thin inclusion with nonlinear resilient parameters is built. Solution of the problem is reduced to a system of singular integral equations with variable coefficients. The convergent iterative method for solving such a system is offered for various nonlinear strain models, including Ramberg-Osgood law. Numerical calculations are carried out for different values of non-linearity characteristic parameters for the inclusion material. Their parameters are analysed for the tensely-deformed matrix under loading a uniformly distributed shear stresses and for a balanced system of the concentrated forces.
    Źródło:
    Acta Mechanica et Automatica; 2018, 12, 3; 190-195
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Boundary element analysis of anisotropic thermomagnetoelectroelastic solids with 3D shell-like inclusions
    Autorzy:
    Pasternak, I.
    Sulym, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/387339.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    anisotropic
    3D
    thermomagnetoelectroelastic
    crack
    thin inclusion
    Opis:
    The paper presents novel boundary element technique for analysis of anisotropic thermomagnetoelectroelastic solids containing cracks and thin shell-like soft inclusions. Dual boundary integral equations of heat conduction and thermomagnetoelectroelasticity are derived, which do not contain volume integrals in the absence of distributed body heat and extended body forces. Models of 3D soft thermomagnetoelectroelastic thin inclusions are adopted. The issues on the boundary element solution of obtained equations are discussed. The efficient techniques for numerical evaluation of kernels and singular and hypersingular integrals are discussed. Nonlinear polynomial mappings are adopted for smoothing the integrand at the inclusion’s front, which is advantageous for accurate evaluation of field intensity factors. Special shape functions are introduced, which account for a square-root singularity of extended stress and heat flux at the inclusion’s front. Numerical example is presented.
    Źródło:
    Acta Mechanica et Automatica; 2017, 11, 4; 308-312
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Elastostatic problem for an interface rigid inclusion in a periodic two-layer space
    Autorzy:
    Kaczyński, A.
    Kozłowski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/386500.pdf
    Data publikacji:
    2010
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    naprężenie
    efektywne własności materiałowe
    statyka
    tension
    elastostatic problem
    elastostatics
    Opis:
    The article is devoted to the elastostatic three-dimensional problem of an interface sheet-like inclusion (anticrack) embedded into a periodic two-layered unbounded composite. An approximate analysis is carried out within the framework of the homogenized model with microlocal parameters. The formulation and the method of solving the general problem for an arbitrarily shaped inclusion is presented. As an example illustrating this method, the problem for a rigid circular inclu- sion under perpendicular tension is solved explicitly and discussed from the point of view of failure theory.
    Źródło:
    Acta Mechanica et Automatica; 2010, 4, 4; 42-50
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Heat conduction in anisotropic medium with perfectly conductive thread-like inclusions
    Autorzy:
    Sulym, Heorhiy
    Ilchuk, Nataliia
    Pasternak, Iaroslav
    Powiązania:
    https://bibliotekanauki.pl/articles/387323.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    thread-like inclusion
    steady-state heat conduction
    anisotropy
    boundary integral equation
    hypersingular
    Opis:
    The paper presents a novel approach for the analysis of steady-state heat conduction of solids containing perfectly conductive thread-like inhomogeneities. Modelling of a thread-like heat conductive inhomogeneity is reduced to determination of density of heat distributed along a spatial curve, which replaces the inclusion. Corresponding boundary integral equations are obtained for anisotropic solids with thread-like inclusions. Non-integral terms are computed in a closed form. It is shown that, nevertheless the singularity of the equation is 1/r, it is hypersingular, since the kernel is symmetric. Boundary element approach is adopted for solution of the obtained equations. Numerical example is presented for a rectilinear conductive thread, which verifies derived boundary integral equations.
    Źródło:
    Acta Mechanica et Automatica; 2019, 13, 4; 251-254
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mathematical modelling of stationary thermoelastic state for a plate with periodic system of inclusions and cracks
    Autorzy:
    Zelenyak, Volodymyr
    Powiązania:
    https://bibliotekanauki.pl/articles/387384.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    stress intensity factor
    singular integral equation
    inclusion
    heat conduction
    thermoelasticity
    crack
    Opis:
    Two-dimensional stationary problem of heat conduction and thermoelasticity for infinite elastic body containing periodic system of inclusions and cracks is considered. Solution of the problem is constructed using the method of singular integral equations (SIEs). The numerical solution of the system integral equations are obtained by the method of mechanical quadrature for a plate heated by a heat flow, containing periodic system elliptic inclusions and thermally insulated cracks. There are obtained graphic dependences of stress intensity factors (SIFs), which characterise the distribution of intensity of stresses at the tops of a crack, depending on the length of crack, elastic and thermoelastic characteristics inclusion, relative position of crack and inclusion.
    Źródło:
    Acta Mechanica et Automatica; 2019, 13, 1; 11-15
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Influence of imperfect interface of anisotropic thermomagnetoelectroelastic bimaterial solids on interaction of thin deformable inclusions
    Autorzy:
    Sulym, Heorhiy
    Vasylyshyn, Andrii
    Pasternak, Iaroslav
    Powiązania:
    https://bibliotekanauki.pl/articles/2204586.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    anisotropic bimaterial
    thermomagnetoelectroelastic
    imperfect interface
    high-temperature conducting
    thin inclusion
    Opis:
    This work studies the problem of thermomagnetoelectroelastic anisotropic bimaterial with imperfect high-temperature conducting coherent interface, whose components contain thin inclusions. Using the extended Stroh formalism and complex variable calculus, the Somigliana-type integral formulae and the corresponding boundary integral equations for the anisotropic thermomagnetoelectroelastic bimaterial with high-temperature conducting coherent interface are obtained. These integral equations are introduced into the modified boundary element approach. The numerical analysis of new problems is held and results are presented for single and multiple inclusions.
    Źródło:
    Acta Mechanica et Automatica; 2022, 16, 3; 242--249
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Boundary integral equations for an anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities
    Autorzy:
    Sulym, H.
    Pasternak, I.
    Tomashivskyy, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/970616.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    bi-material
    imperfect interface
    thermoelastic
    anisotropic
    crack
    thin inclusion
    biomateriał
    materiał termoelastyczny
    termosprężystość
    pęknięcia
    Opis:
    This paper studies a thermoelastic anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities. Based on the complex variable calculus and the extended Stroh formalism a new approach is proposed for obtaining the Somigliana type integral formulae and corresponding boundary integral equations for a thermoelastic bimaterial consisting of two half-spaces with different thermal and mechanical properties. The half-spaces are bonded together with mechanically perfect and thermally imperfect interface, which model interfacial adhesive layers present in bimaterial solids. Obtained integral equations are introduced into the modified boundary element method that allows solving arbitrary 2D thermoelacticity problems for anisotropic bimaterial solids with imperfect thin thermo-resistant interfacial layer, which half-spaces contain cracks and thin inclusions. Presented numerical examples show the effect of thermal resistance of the bimaterial interface on the stress intensity factors at thin inhomogeneities.
    Źródło:
    Acta Mechanica et Automatica; 2016, 10, 1; 66-74
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the convergence of domain decomposition algorithm for the body with thin inclusion
    Autorzy:
    Styahar, A.
    Savula, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/386798.pdf
    Data publikacji:
    2015
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    elasticity theory
    Timoshenko shell theory
    Steklov-Poincare operator
    domain decomposition
    teoria sprężystości
    teoria Tymoszenki
    operator Steklova-Poincare'a
    Opis:
    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.
    Źródło:
    Acta Mechanica et Automatica; 2015, 9, 1; 27-32
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Doubly Periodic Sets of Thin Branched Inclusions in the Elastic Medium: Stress Concentration and Effective Properties
    Autorzy:
    Sulym, H.
    Pasternak, I.
    Kutsyk, S.
    Grodzki, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/386923.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    anizotropia
    dwuokresowość
    zbrojenie
    anisotropic
    doubly periodic
    thin branched inclusion
    reinforcement
    effective modulus
    Opis:
    This paper considers the doubly periodic problem of elasticity for anisotropic solids containing regular sets of thin branched inclusions. A coupling principle for continua of different dimension is utilized for modeling of thin inhomogeneities and the boundary element technique is adopted for numerical solution of the problem. The branches of the inclusion can interact both inside the representative volume element and at the interface of neighbor representative elements. A particular example of the elastic medium reinforced by a doubly periodic set of I-beams is considered. Stress intensity and stress concentration inside and outside thin inclusions are determined. The dependence of the effective mechanical properties of the reinforced composite material on the volume fraction of the filament and its rigidity is obtained.
    Źródło:
    Acta Mechanica et Automatica; 2013, 7, 1; 48-52
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mixed boundary value problem for an anisotropic thermoelastic half-space containing thin inhomogeneities
    Autorzy:
    Sulym, Heorhiy
    Pasternak, Iaroslav
    Smal, Mariia
    Vasylyshyn, Andrii
    Powiązania:
    https://bibliotekanauki.pl/articles/386303.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    thermoelasticity
    anisotropic half-space
    boundary element method
    thin inclusion
    crack
    stress intensity factors
    Stroh formalism
    Opis:
    The paper presents a rigorous and straightforward approach for obtaining the 2D boundary integral equations for a thermoelastic half-space containing holes, cracks and thin foreign inclusions. It starts from the Cauchy integral formula and the extended Stroh formalism which allows writing the general solution of thermoelastic problems in terms of certain analytic functions. In addition, with the help of it, it is possible to convert the volume integrals included in the equation into contour integrals, which, in turn, will allow the use of the method of boundary elements. For modelling of solids with thin inhomogeneities, a coupling principle for continua of different dimensions is used. Applying the theory of complex variable functions, in particular, Cauchy integral formula and Sokhotski–Plemelj formula, the Somigliana type boundary integral equations are constructed for thermoelastic anisotropic half-space. The obtained integral equations are introduced into the modified boundary element method. A numerical analysis of the influence of boundary conditions on the half-space boundary and relative rigidity of the thin inhomogeneity on the intensity of stresses at the inclusions is carried out.
    Źródło:
    Acta Mechanica et Automatica; 2019, 13, 4; 238-244
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A circular inclusion and two radial coaxial cracks with contacting faces in a piecewise homogeneous isotropic plate under bending
    Autorzy:
    Sulym, Heorhiy
    Opanasovych, Viktor
    Zvizlo, Ivan
    Seliverstov, Roman
    Bilash, Oksana
    Powiązania:
    https://bibliotekanauki.pl/articles/387333.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    bending
    plate
    interfacial zone
    radial cracks
    contact force
    complex potentials
    moment intensity factors
    limit load
    Opis:
    The bending problem of an infinite, piecewise homogeneous, isotropic plate with circular interfacial zone and two coaxial radial cracks is solved on the assumption of crack closure along a line on the plate surface. Using the theory of functions of a complex variable, complex potentials and a superposition of plane problem of the elasticity theory and plate bending problem, the solution is obtained in the form of a system of singular integral equations, which is numerically solved after reducing to a system of linear algebraic equations by the mechanical quadrature method. Numerical results are presented for the forces and moments intensity factors, contact forces between crack faces and critical load for various geometrical and mechanical task parameters.
    Źródło:
    Acta Mechanica et Automatica; 2020, 14, 1; 16-21
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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