Research output: Contribution to journal › Article › peer-review
The flexural rigidity of a thin plate reinforced with periodic systems of separated rods. / Nazarov, S. A.; Sweers, G. H.; Slutskii, A. S.
In: Journal of Applied Mathematics and Mechanics, Vol. 74, No. 3, 06.08.2010, p. 313-322.Research output: Contribution to journal › Article › peer-review
}
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 -
ID: 40980487