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    Wyświetlanie 1-4 z 4
    Tytuł:
    Shape sensitivity analysis of eigenvalues revisited
    Autorzy:
    Nazarov, S. A.
    Sokolowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970311.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    spectral problem
    singular perturbation
    eigenvalues of Laplacian
    shape sensitivity analysis
    topology optimization
    Opis:
    The paper can be considered as a complement to previous papers of the authors. An insight into applied asymptotic analysis of boundary value problems in singularly perturbed domains is presented. As a result, the asymptotic expansions of eigenvalues are obtained and discussed in terms of integral attributes of the geometrical perturbations including the virtual mass tensor, polarization tensor etc. The results are presented in such a way that can be easily employed in numerical methods for shape optimization and inverse problems.
    Źródło:
    Control and Cybernetics; 2008, 37, 4; 999-1012
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity
    Autorzy:
    Consiglieri, L.
    Necasova, S.
    Sokolowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970891.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    magnetohydrodynamic flows
    shape sensivity
    Opis:
    We prove the existence and uniqueness of weak solutions to the variational formulation of the Maxwell-Boussinesq approximation problem. Some further regularity in W1,2+δ, δ > 0, is obtained for the weak solutions. The shape sensitivity analysis by the boundary variations technique is performed for the weak solutions. As a result, the existence of the strong material derivatives for the weak solutions of the problem is shown. The result can be used to establish the shape differentiability for a broad class of shape functionals for the models of Fourier-Navier-Stokes flows under the electromagnetic field.
    Źródło:
    Control and Cybernetics; 2009, 38, 4A; 1193-1215
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological derivatives for semilinear elliptic equations
    Autorzy:
    Iguernane, M.
    Nazarov, S. A.
    Roche, J. R.
    Sokolowski, J.
    Szulc, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/907655.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja kształtu
    pochodna topologiczna
    nierówność wariacyjna
    analiza asymptotyczna
    shape optimization
    topological derivative
    level set method
    variational inequality
    asymptotic analysis
    Opis:
    The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element approximation for the topological derivatives is shown and the error estimates in the L [...] norm are obtained. The results of numerical experiments which confirm the theoretical convergence rate are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 191-205
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    In-situ formed, ultrafine Al-Si composite materials: ductility
    Autorzy:
    Guba, P.
    Gesing, A.
    Sokolowski, J.
    Conle, A.
    Sobiesiak, A.
    Das, S.
    Kasprzak, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/366887.pdf
    Data publikacji:
    2019
    Wydawca:
    Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
    Tematy:
    ultrafine Al-Si composite
    Al metal matrix
    hypereutectic Al alloys
    mechanical properties
    high ductility
    osnowa metalowa
    stop nadeutektyczny
    właściwości mechaniczne
    ciągliwość
    Opis:
    Purpose: The work objective includes optimization of the casting production and heat treatment processes that will simultaneously maximize the combination of strength, hardness, and ductility for hypereutectic Al-Si compositions with Si volume fractions of as much as 25 vol.%. In addition, such an in-situ formed composite alloy will attain a unique combination of low production cost, high potential recycled content, and functional characteristics suitable for mission critical aerospace and vehicular applications. Design/methodology/approach: The unique High Pressure Die Casting Universal Metallurgical Simulator and Analyser (HPDC UMSA) was used for melting, cyclic melt treatment, and solidification of the hypereutectic Al-Si-X (A390). The produced as-cast structures contained colonies of nano-diameter Si whiskers and other morphologies, and absence of primary silicon particles. Heat treated structures rendered nano and ultrafine metal matrix composites. Findings: New developed as-cast Al-Si materials containing nano-diameter Si whiskers, without primary silicon particles required ultra short time heat treatment to result in nano and ultrafine metal matrix composite, rendering their hardness, strength and wear resistance, and the same time retaining toughness and ductility. Research limitations/implications: The cast samples were produced in laboratory conditions and potential tensile strength was estimated from empirical correlation with micro-hardness measurements. In the future, the comprehensive mechanical properties need to be tested. Practical implications: These ultrafine Si, Al-MMCs can be net-shape formed by modified HPDC technology or consolidated from spray-atomized alloy powder. Originality/value: Optimization of the entire production process for the hypereutectic Al-Si alloy compositions achieved a uniform distribution of ~ 25 vol.% of ultrafine Si particles in ductile FCC-Al matrix further reinforced by age hardening with nano-scale spinodal GP-zones. The associated mechanical property and ductility improvements will open a wide range of critical lightweighting components in transportation: aerospace, terrestrial vehicle and marine to the optimized hypereutectic Al-Si alloys. Presently, these components do not use the commercial HPDC A390 alloys due to their limited ductility and strength. Proposed new technology will allow conversion of various cast airspace alloys with ultrahigh mechanical properties to the automotive applications.
    Źródło:
    Journal of Achievements in Materials and Manufacturing Engineering; 2019, 92, 1-2; 5-12
    1734-8412
    Pojawia się w:
    Journal of Achievements in Materials and Manufacturing Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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