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A new model of thin elastic rectilinear inclusion has been constructed. An approach to the stress-strain state analysis in an isotropic plane reinforced by a periodic system of thin elastic inclusions has been suggested. The formulae for determination of the effective modulus of composite material and stress intensity factors at the inclusion tip depending on volumetric contents of the reinforcing elements and their elastic characteristic have been obtained. Numerical analysis of the problem for various geometrical and mechanical parameters of the composite has been presented. The effect of the ratio between inclusion and matrix elastic modul on the values of stress intensity factors has been studied as well.
W pracy przedstawiono metodę modelowania stanu naprężeń i odkształceń w ciele izotropowym wzmocnionym periodycznym układem cienkich sprężystych inkluzji. Otrzymano równania określające moduły efektywne kompozytu oraz współczynniki intensywności naprężeń w wierzchołkach inkluzji. Przeprowadzono analizę współczynników intensywności naprężeń w zależności od efektywnych modułów.
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Czasopismo
Rocznik
Tom
Strony
65--79
Opis fizyczny
Bibliogr. 21 poz., wykr., il.
Twórcy
autor
- Department of Mechanics and Mathematics, University of Lviv, Ukraine
autor
- Pidstrigach Institute for Applied Problems of Mathematics and Mechanics, National Academy of Sciences of Ukraine, Lviv
autor
- Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine, Lviv
Bibliografia
- 1. ACHENBACH J.D., 1975, A Theory of Elasticity with Microstructure for Direc-tionally Reinforced Composites, CISM Courses and Lectures, No. 167, Springer, New York.
- 2. BACHVALOV N.S., PANASENKO G.P., 1984, Averaged Processes in Periodic Media, Nauka, Moscow, (in Russian).
- 3. BEREZHITSKY L.T., DELYAVSKY M.V., ONYSHKO L.I., 1987, About the One Approach to an Evaluation of Stresses in Anisotropic Leaf Material Having Crack, Physico-Chemical Mechanics of Materials, 23, 2, 62-66, (in Russian).
- 4. BOLOTIN V.V., NOVICHKOV U.N., 1980, Mechanics of Multilayered Structures, Machine Building, Moscow, (in Russian).
- 5. CHRISTENSEN, 1980, Mechanics of Composite Materials, J. Wiley and Sons, New York.
- 6. HRUSHCH YA.F., DELYAVSKY M.V., BEREZHNITSKY L.T., 1978, Local Stress Strain State Under Bending of Thin Plates With Rigid Pointed Inclusions, Reports and scientific information of Lviv Polytechnic Institute, 9, 21-24, (in Russian).
- 7.GUZA.N. ET AL., 1982, Mechanics of Composite Materials and Elements of Constructions, Naukova Dumka, Kiev, (in Russian).
- 8. MATYSIAK S.J., 1995, On the Microlocal Parameter Method in Modelling of Periodically Layered Thermoelastic Composites, J. of Theoreyical and Applied Mechanics, 33, 2,482-487.
- 9. MATYSIAK S.J., OLESIAK Z., 1981, O pewnych własnościach naprężeń w kompozytach lamelkowych, Mechanika Teoretyczna i Stosowana, 19, 3, (in Polish).
- 10. MATYSIAK S.J., WOŹNIAK C, 1987, Micromorfic Effects in a Modelling of Periodic Multilayered Elastic Composites, Int. J. Engn. Sci., 25, 5, 549-559.
- 11. MATYSIAK S.J., WOŹNIAK C, 1988, On the Microlocal Modelling of Thermoelastic Composites, J. of Technical Physics, 29, 1, 85-97..
- 12. OPANASOVICH V.K., DRAGAN M.S., 1981, Antiplane Deformation of a Body Containing Thin Elastic Inclusion, Bull, of Lviv University. Series Mechanical-Mathematical, 17, 69-73, (in Ukrainian).
- 13. OPANASOVICH V.K., DRAGAN M.S., 1984, Antiplane Deformation of a Body Containing System of Thin Elastic Inclusions, Bulletin of Lviv University. Series Mechanical-Mathematical, 22, 71-77, (in Ukrainian).
- 14. OPANASOVICH V.K., 1997, A Stress-Strain State of Thin Plate Contains a Doubly Periodic System of Thin Rectilinear Elastic Inclusions, in: The First Ukrainian-Polish Scientific Symposium "Mixed Problems of Mechanics of Heterogeneous Structures", Vydavnytstvo "Svit", Lviv-Shatsk, 69-72 (in Ukrainian).
- 15. PANASJUK V.V., BEREZHNITSKY L.T., TRUSH I.I., 1972, Distribution of Stresses Near the Defects as Rigid Pointed Inclusions, Problemy Prochnosty, 7, 3-9, (in Russian).
- 16. PANASJUK V.V., SAVRUK M.P., DATSYSHYN L.P., 1976, Stress Distribution Near the Cracks in Planes and Shells, Naukova Dumka, Kiev, (in Russian).
- 17. YEVTUSHENKO A.A., KACZYŃSKI A., MATYSIAK S.J., 1995, The Stressed State of a Laminated Elastic Composite with a Thin Linear Inclusion, Prikl. Mat. Mekh., 59, 4, 698-703
- 18. VANIN G.A., 1985, A Micromechanics of Composite Materials, Naukova Dumka, Kiev, (in Russian)
- 19. WOŹNIAK C, 1986, Nonstandard Analysis in Mechanics, Advances in Mech., 3-36
- 20. WOŹNIAK C, 1987, A Nonstandard Method of Modelling of Thermoelastic Periodic Composites, Int. J. Engn. Sci., 25, 483-499
- 21. WOŹNIAK C, 1987, On the Linearized Problems of Thermoelasticity with Mi-crolocal Parameters, Bull. Pol. Ac. Techn., 35, 143-153
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BWM2-0001-0232