Vibrations of non-periodic thermoelastic laminates

• Autorzy: Jędrysiak J. , Pazera E.
• Konferencja: Symposium Vibrations In Physical Systems (27 ; 09-13.05.2016 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

Vibrations of non-periodic thermoelastic laminates, which can be treated as made of functionally graded material with macroscopic properties changing continuously along direction, x1, perpendicular to the laminas on the macrolevel are considered. Three models of these laminates are presented: the tolerance, the asymptotic-tolerance and the asymptotic. Governing equations of two first of them involve terms dependent of the microstructure size. Hence, these models (the tolerance, the asymptotic-tolerance) describe the effect of the microstructure. Averaged governing equations of these laminates can be obtained using the tolerance modelling technique, cf. Jędrysiak [1]. Because the model equations have functional, but slowly-varying coefficients calculations for examples can be made numerically or by using approximated methods.

Słowa kluczowe

EN

nonperiodic laminates; thermoelasticity; vibrations; microstructure; tolerance modelling

PL

laminaty o strukturze nieperiodycznej; termosprężystość; drgania; mikrostruktura; modelowanie tolerancyjne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 175--180
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Jędrysiak J.

• Department of Structural Mechanics, Łódź University of Technology, al. Politechniki 6, 90-924 Łódź

autor

Pazera E.

• Department of Structural Mechanics, Łódź University of Technology, al. Politechniki 6, 90-924 Łódź

Bibliografia

• 1. J. Jędrysiak, Thermomechanics of laminates, plates and shells with functionally graded structure, Publishing House of Lodz Univ. Techn., Lodz 2010 [in Polish].
• 2. J. Jędrysiak, Stationary heat conduction in transversally graded laminates with uniform and non-uniform distribution of laminas, Building Physics in Theory and Practice, 5/3 (2010) 17 – 20.
• 3. J. Jędrysiak, A. Radzikowska, On the modelling of heat conduction in a non-periodically laminated layer, J. Theor. Appl. Mech., 45 (2007) 239 – 257.
• 4. S. Suresh, A. Mortensen, Fundamentals of functionally graded materials, The University Press, Cambridge 1998.
• 5. T. Reiter, G. J. Dvorak, V. Tvergaard, Micromechanical models for graded compositematerials, J. Mech. Phys. Solids, 45 (1997) 1281 – 1302.
• 6. V. V. Jikov, C. M. Kozlov, O. A. Oleinik, Homogenization of differential operators and integral functionals, Springer Verlag, Berlin-Heidelberg 1994.
• 7. S. J. Matysiak, On certain problems of heat conduction in periodic composites, Z. Angew. Math. Mech., 71 (1994) 524 – 528.
• 8. J. Aboudi, M. J. Pindera, M. Arnolds, Higher-order theory for functionally graded materials, Comp., 30 (1999) 777 – 832.
• 9. C. Woźniak, E. Wierzbicki, Averaging techniques in thermomechanics of composite solids, Publishing House of Częstochowa Univ. of Techn., Częstochowa 2000.
• 10. C. Woźniak, B. Michalak, J. Jędrysiak, Thermomechanics of heterogeneous solids and structures, Lodz, Publishing House of Lodz Univ. Techn. 2008.
• 11. C. Woźniak, et al. (eds.), Mathematical modeling and analysis in continuum mechanics of microstructured media, Publishing House of Silesian Univ. Techn., Gliwice 2010.
• 12. J. Ignaczak, A spatial decay estimate for transient thermoelastic process in a composite semispace, J. Therm. Stresses., 23 (2000) 1 – 14.
• 13. Z.F. Baczyński, Dynamic thermoelastic processes in microperiodic composites, J. Therm. Stresses., 26 (2003) 55 – 66.
• 14. P. Ostrowski, B. Michalak, A contribution to the modelling of heat conduction for cylindrical composite conductors with non-uniform distribution of constituents, Int. J. Heat Mass Transfer, 92 (2016) 435 – 448.
• 15. J. Jędrysiak, On the tolerance modelling of thermoelasticity problems for transversally graded laminates, Arch. Civ. Mech. Engng., 11 (2011) 61 – 74.
• 16. E. Pazera, J. Jędrysiak, Thermoelastic phenomena in transversally graded laminates, Comp. Struct., 134 (2015) 663 – 671.
• 17. B. Michalak, Thermomechanics of solids with a certain inhomogeneous microstructure, Publishing House of Lodz Univ. Techn., Lodz 2011 [in Polish].

Uwagi

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