TY - JOUR

T1 - Asymptotic modelling of bonded plates by a soft thin adhesive layer

AU - Rudoy, E. M.

PY - 2020

Y1 - 2020

N2 - In the present paper, a composite structure is considered. The structure is made of three homogeneous plates: two linear elastic adherents and a thin adhesive. It is assumed that elastic properties of the adhesive layer depend on its thickness "as" to the power of 3. Passage to the limit as " goes to zero is justified and a limit model is found in which the influence of the thin adhesive layer is replaced by an interface condition between adherents. As a result, we have analog of the spring type condition in the plate theory. Moreover, a representation formula of the solution in the adhesive layer has been obtained.

AB - In the present paper, a composite structure is considered. The structure is made of three homogeneous plates: two linear elastic adherents and a thin adhesive. It is assumed that elastic properties of the adhesive layer depend on its thickness "as" to the power of 3. Passage to the limit as " goes to zero is justified and a limit model is found in which the influence of the thin adhesive layer is replaced by an interface condition between adherents. As a result, we have analog of the spring type condition in the plate theory. Moreover, a representation formula of the solution in the adhesive layer has been obtained.

KW - Biharmonic equation

KW - Bonded structure

KW - Composite material

KW - Kirchhoff-Love's plate

KW - Spring type interface condition

KW - biharmonic equation

KW - INTERFACES

KW - bonded structure

KW - composite material

KW - spring type interface condition

UR - http://www.scopus.com/inward/record.url?scp=85091378524&partnerID=8YFLogxK

U2 - 10.33048/semi.2020.17.040

DO - 10.33048/semi.2020.17.040

M3 - Article

AN - SCOPUS:85091378524

VL - 17

SP - 615

EP - 625

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -