Lewiński, Tomasz Effective models of composite periodic plates. II: Simplifications due to symmetries. (English) Zbl 0762.73054 Int. J. Solids Struct. 27, No. 9, 1173-1184 (1991). Summary: [For part I see the preceding entry.]This paper is aimed at investigating how material and geometrical symmetries of a composite plate simplify the formulae derived in Part I by the asymptotic method. It occurs that the symmetry with respect to the middle plane results in splitting the subsequent overall and local problems into membrane and bending problems. Additional assumptions of orthotropy of the material and of certain symmetries of the cell periodicity imply far-reaching simplifications, e.g. the vanishing of some terms in the first-order correctors for displacements, and the cancellation of discrepancies in the formulation of some boundary conditions. In the last section, a computational algorithm for evaluating the effective stiffnesses is suggested. Cited in 6 Documents MSC: 74E30 Composite and mixture properties 74K20 Plates 74E15 Crystalline structure Keywords:material and geometrical symmetries; membrane; bending problems; orthotropy; cell periodicity; effective stiffnesses PDFBibTeX XMLCite \textit{T. Lewiński}, Int. J. Solids Struct. 27, No. 9, 1173--1184 (1991; Zbl 0762.73054) Full Text: DOI