Displacements caused by the temperature in multicomponent, multi-layered periodic material structures

• Autorzy: Bagdasaryan V. , Wągrowska M. , Szlachetka O.
• Języki publikacji: EN

Abstrakty

EN

The present study aims to analyse a two-dimensional problem of displacements in theory of thermal stresses for multicomponent, multi-layered periodic composites. The model equations are obtained within the framework of the tolerance modelling procedure. These equations allow to determine the distribution of displacements caused by the temperature field in the theory of thermal stresses. The paper presents an example of a solution of a boundary value problem.

Słowa kluczowe

EN

theory of thermal stresses; periodic multicomponent composite; tolerance modelling

PL

teoria naprężeń cieplnych; periodyczny kompozyt wieloskładnikowy; modelowanie tolerancyjne

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 3
• Strony: 809--819
• Opis fizyczny: Bibliogr. 16 poz., il., wykr.

Twórcy

autor

Bagdasaryan V.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences - SGGW Warsaw, Poland

autor

Wągrowska M.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences - SGGW Warsaw, Poland

autor

Szlachetka O.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences - SGGW Warsaw, Poland

Bibliografia

• [1] Bagdasaryan, V.: The tolerance model of coupled fields of temperature and displacements in periodic multicomponent materials /doctoral thesis in Polish/, Warsaw University of Life Sciences, Warsaw, 2016.
• [2] Jędrysiak, J.: On the tolerance modelling of thermoelasticity problems for transversally graded laminates, Arch Civ Mech Eng, 11, 61{74, 2011.
• [3] Matysiak, S.J.: Thermal stresses in a periodic two-layered composite weakened by an interface crack, Acta Mechanica, 78, 95-108, 1989.
• [4] Ostrowski, P.: Thermoelasticity in a two-phase hollow cylinder with longitudinally graded material properties, Shell Struc Theory Appl. 3, 133{136, 2014.
• [5] Pazera, E. and Jędrysiak, J.: Thermoelastic phenomena in transversally graded laminates, Composite Structurs, 134, 663-671, 2015.
• [6] Wągrowska, M. and Szlachetka, O.: Distribution of temperature in multicomponent multilayered composites, in: Albers, B. and Kuczma, M. (eds.): Continuous Media with Microstructure 2, Springer International Publishing Switzerland, 199-214, 2016.
• [7] Wągrowska, M., Szlachetka, O. and Bagdasaryan, V.: Elastostatic problems in multicomponent, multilayered periodic composites, Scientific Review Engineering and Environmental Sciences, 27, 1, 9-18, 2018.
• [8] Wierzbicki, E., Woźniak, C. and Woźniak, M.: Thermal stresses in elastodynamics of composite materials, Int. J. Engng Sci., 35, 2, 187-196, 1997.
• [9] Wągrowska, M. and Woźniak, C.: A new 2D-model of the heat conduction in multilayered medium-thickness plates, Acta Sci. Polon., Ser. Architectura, 13, 1, 3-44, 2014.
• [10] Woźniak, C.: Uniaxial elastic strain and heat conduction problems in multicomponent periodic composites, Paper presented at the Conference Mechanika Ośrodków Niejednorodnych in Zielona Góra - Łagów, 6-9 June 2013.
• [11] Woźniak, Cz.: Macroscopic models of the heat conduction in periodically stratified multicomponent composites (1D-models), Paper presented at the 6th sympozjon Kompozyty. Konstrukcje Warstwowe in Wrocław-Srebrna Góra, 8-10 November 2012.
• [12] Woźniak, Cz.: A model for of micro-heterogeneous solid. Mechanik Berichte Vol 1, Institut für Allgemeine Mechanik, RWTH, Aachen, 1999.
• [13] Woźniak, Cz.: Macro-dynamics of elastic and visco-elastic microperiodic composites, Journal of Theoretical and Applied mechanics 39, 763{770, 1993.
• [14] Woźniak, Cz. and Wierzbicki, E.: Averaging techniques in thermomechanics of composite solids, Tolerance averaging versus homogenization, Wydawnictwo Politechniki Częstochowskiej, Częstochowa, 2000.
• [15] Woźniak, Cz., Michalak, B. and Jędrysiak, J. (eds.): Thermomechanics of Microheterogeneous Solids and Structures. Tolerance Averaging Approach, Lodz University Press, Łódź, 2008.
• [16] Woźniak, Cz. et. al (eds.): Mathematical modelling and analysis in continuum mechanics of microstructured media, Silesian Publ. House, Gliwice, 2010.