Fuzzy sets : fatigue tests

• Autorzy: Kędziora P. , Romanowicz P. , Muc A.

Warianty tytułu

PL

Zbiory rozmyte : badania zmęczeniowe

• Języki publikacji: EN

Abstrakty

EN

In this study, the results of fatigue tests using fuzzy set methodology are considered. Cyclic loading causes damage, reducing the strength until the material can no longer sustain even service loading. The experiments demonstrate the scatter of results. Fuzzy set analysis has been proposed in order to estimate the uncertainty in the evaluation of stiffness and critical number of cycles corresponding to final fatigue damage. The results of fatigue-life tests using fuzzy set methodology are also considered when the experimental results are given in the form of a histogram. The fuzzy set and vertex method in conjunction with finite element (FE) computations are introduced to evaluate buckling loads.

PL

Przedstawiono analizę wyników badań zmęczeniowych z wykorzystaniem metodologii zbiorów rozmytych. Cykliczne obciążenie powoduje uszkodzenia, co zmniejsza wytrzymałość aż do momentu, gdy materiał nie może przenosić nawet obciążenia eksploatacyjnego. Eksperyment wykazuje znaczny rozrzut wyników. Zaproponowano zastosowanie zbiorów rozmytych do oszacowania niepewności w ocenie sztywności i krytycznej liczby cykli odpowiadającej zmęczeniowemu zniszczeniu. Rozważono także wykorzystanie zbiorów rozmytych do analizy wyników badań zmęczeniowych, gdy wyniki doświadczalne są podane w formie histogramu. Zbiory rozmyte i metoda vertex z wykorzystaniem metody elementów skończonych (MES) zostały wprowadzone do oceny obciążenia krytycznego.

Słowa kluczowe

EN

fuzzy logic; fuzzy sets; fatigue tests; composite plates

PL

logika rozmyta; zbiory rozmyte; badania zmęczeniowe; płyty kompozytowe

• Wydawca: Polskie Towarzystwo Materiałów Kompozytowych
• Czasopismo: Composites Theory and Practice
• Rocznik: 2016
• Tom: R. 16, nr 2
• Strony: 90--95
• Opis fizyczny: Bibliogr. 27 poz., rys.

Twórcy

autor

Kędziora P.

• Cracow University of Technology, Faculty of Mechanical Engineering, Institute of Machine Design, ul. Warszawska 24, 31-155 Kraków, Poland

autor

Romanowicz P.

• Cracow University of Technology, Faculty of Mechanical Engineering, Institute of Machine Design, ul. Warszawska 24, 31-155 Kraków, Poland

autor

Muc A.

• Cracow University of Technology, Faculty of Mechanical Engineering, Institute of Machine Design, ul. Warszawska 24, 31-155 Kraków, Poland

Bibliografia

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• [2] Yang J.N, Lee L.J., Sheu D.Y., Modulus reduction and fatigue damage of matrix dominated composites laminates, Composite Structures 1992, 21, 91-100.
• [3] Whitney J.M., Fatigue characterisation of composite materials, Fatigue of Fibrous Composite Materials, ASTM STP 723, Philadelphia 1981, 133-151.
• [4] Hahn H.T., Kim R.Y., Fatigue behaviour of composite materials, Journal of Composite Materials 1976, 10, 156-180.
• [5] Oskay C., Fish J., On calibration and validation of eigendeformation-based multiscale models for failure analysis of heterogeneous systems, Computational Mechanics 2008, 42, 181-195.
• [6] Jiang D., Li Y., Fei Q., Wu S., Prediction of uncertain elastic parameters of a braided composite, Composite Structures 2015, 126, 123-131.
• [7] Mustafa G., Crawford C., Suleman A., Fatigue life prediction of laminated composites using a multi-scale M-LaF and Bayesian inference, Composite Structures doi:10.1016/j.compstruct.2016.02.024 (2016) (in press).
• [8] Chandrashekhar M., Ganguli R., Damage assessment of composite plate structures with material and measurement uncertainty, Mechanical Systems and Signal Processing 2016, 75, 75-93.
• [9] Muc A., Kędziora P., Krawczyk P., Sikoń M., Failure analysis of FRP panels with a cut-out under static and cyclic load, Third International Conference On Thin-Walled Structures (3-ICTWS), Elsevier, London 2001, 313-320.
• [10] Moens D., Hanss M., Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances, Finite Elements in Analysis and Design 2011, 47, 4-16.
• [11] Altmann F., Sickert J.U., Mechtcherine V., Kaliske M., A fuzzy-probabilistic durability concept for strain-hardening cement-based composites (SHCCs) exposed to chlorides: part 1: concept development, Cement and Concrete Composites 2012, 34, 754-762.
• [12] Karbhari V.M., Stein M., Fuzzy logic based approach to FRP retrofit of columns, Composites Part B 38 (2007) 651-673.
• [13] Rajmohan T., Palanikumar K., Prakash S., Grey-fuzzy algorithm to optimize machining parameters in drilling of hybrid metal matrix composites, Composites Part B 2013, 50, 297-308.
• [14] Muc A., Kędziora P., Application of fuzzy set theory in mechanics of composite materials, [In:] Soft Computing in Textile Sciences, eds. L. Sztandera, C. Pastore, Springer-Verlag 2003, 16-50.
• [15] Kędziora P., Muc A., Optimal design of composite structures subjected to fatigue loading in a fuzzy environment, Engineering Optimization IV, eds. Rodrigues et al., Taylor & Francis Group, London 2015, 961-966.
• [16] Bohlooli H., Nazari A., Khalaj G., Kaykha M.M., Riahi S., Experimental investigations and fuzzy logic modeling of compressive strength of geopolymers with seeded fly ash and rice husk bark ash, Composites Part B 2012, 43, 1293-1301.
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• [18] Vassilopoulos A.P., Bedi R., Adaptive neuro-fuzzy inference system in modelling fatigue life of multidirectional composite laminates, Computational Materials Science 2008, 43, 1086-1093.
• [19] Jarrah M.A., Al-Assaf Y., El Kadi H., Neuro-fuzzy modeling of fatigue life prediction of unidirectional glass fiber/epoxy composite laminates, Journal of Composite Materials 2002, 36, 685-700.
• [20] Rassbach S., Lehnert W., Modelling of the deformation behaviour of FGM by fuzzy-logic, Computational Materials Science 1999, 16, 167-175.
• [21] Muc A., Kędziora P., A fuzzy set analysis for a fatigue damage response of composite materials, Proc. International Conference on Composite Science and Technology (ICCST/3), eds. S. Adali, E. V. Morozov, V.E. Verijenko, Durban, South Africa, 2000, 417-422.
• [22] Muc A., Kędziora P., A fuzzy set analysis for a fracture and fatigue damage response of composite materials, Composite Structures 2001, 54, 283-287.
• [23] Muc A., Kędziora P., Design procedures of composite structures via fuzzy set approach, Proc. ICCM 13, Beijing 2001, CD - 10 pages.
• [24] Muc A., Kędziora P., The application of fuzzy logic in fatigue damage analysis, Composites Theory and Practice 2014, 14, 1, 60-63.
• [25] Norwich A.M., Turksen I.B., A model for the measurement of membership and consequences of its empirical implementation, Fuzzy Sets and Systems 1984, 12, 1-25.
• [26] Dombi J., Membership function as a evaluation, Fuzzy Sets and Systems 1993, 35, 1-21.
• [27] Muc A., Ryś J., Łatas W., Limit load carrying capacity for spherical laminated shells under external pressure, Composite Structures 1993, 25, 295-303.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.