On the probabilistic analogy between homogenized and tolerance models of two-constituent microperiodic isotropic laminated composites

• Autorzy: Łacińska L. , Wierzbicki E.
• Języki publikacji: EN

Abstrakty

EN

In the note an interrelation between tolerance and homogenized effective moduli for two-constituent elastic microperiodic composite are examined. It is shown that, in the case in which constituents are isotropic, effective modulae are identical. The proof is based on the probabilistic analogy formulated for both kinds of modulae.

Słowa kluczowe

EN

laminated composites; homogenized model

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2006
• Tom: Vol. 5, nr 1
• Strony: 71--82
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Łacińska L.

autor

Wierzbicki E.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology, Poland

Bibliografia

• [1] Woźniak C., Wierzbicki E., Averaging techniques in thermomechanics of composite solids, Tolerance averaging versus homogenization, Wydawnictwo Politechniki Częstochowskiej, Częstochowa 2000.
• [2] Jikov V.V., Kozlov S.M., Oleinik O.A., Homogenization of differential operators and integral functionals, Berlin-Heidelberg, Springer Verlag 1994.
• [3] Feller W., An introduction to probability theory and its applications, John Wiley and Sons, New York 1957.
• [4] Łacińska L., Selected problems of elastodynamics of the stratified medium with a periodic structure, PhD thesis, Częstochowa 2005.