TY - JOUR

T1 - The flexural rigidity of a thin plate reinforced with periodic systems of separated rods

AU - Nazarov, S. A.

AU - Sweers, G. H.

AU - Slutskii, A. S.

PY - 2010/8/6

Y1 - 2010/8/6

N2 - A two-dimensional model of the flexure of a thin plate, reinforced with periodic families of separated thin rods, symmetrical about the middle plane, is constructed. Since the rods only interact through the pliable matrix material, the algorithm for constructing the asymptotics is essentially different from the classical procedure in the theory of composite plates and leads to new results. Explicit formulae are obtained for the coefficients of the fourth order differential equation which arises.

AB - A two-dimensional model of the flexure of a thin plate, reinforced with periodic families of separated thin rods, symmetrical about the middle plane, is constructed. Since the rods only interact through the pliable matrix material, the algorithm for constructing the asymptotics is essentially different from the classical procedure in the theory of composite plates and leads to new results. Explicit formulae are obtained for the coefficients of the fourth order differential equation which arises.

UR - http://www.scopus.com/inward/record.url?scp=77957906343&partnerID=8YFLogxK

U2 - 10.1016/j.jappmathmech.2010.07.007

DO - 10.1016/j.jappmathmech.2010.07.007

M3 - Article

AN - SCOPUS:77957906343

VL - 74

SP - 313

EP - 322

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 3

ER -