# On the contact interaction between two rectangular plates

A. V. Krysko, J. Awrejcewicz, M. V. Zhigalov, V. A. Krysko

Research output: Contribution to journalArticle

7 Citations (Scopus)

### Abstract

A mathematical model of contact interaction between two plates is presented, considering certain types of nonlinearity of each of the plates. Stress–strain state (SSS) of the interacting structural members is analyzed by the method of variational iterations, and the theorem of convergence of this method is provided. An iterative procedure for solving contact problems is developed and its convergence is also proved. Physical nonlinearity is considered by means of the method of variable parameters of elasticity. The SSS of a two-layer system of rectangular plates, depending on a type of boundary conditions as well as distances between plates, is investigated and supplemented with stress–strain curves σi(i)(ei(i))for each of the plates.

Original language English 2729-2748 20 Nonlinear Dynamics 85 4 https://doi.org/10.1007/s11071-016-2858-2 Published - 1 Sep 2016

### Fingerprint

Structural members
Rectangular Plate
Elasticity
Boundary conditions
Contact
Mathematical models
Interaction
Nonlinearity
Iterative Procedure
Contact Problem
Mathematical Model
Iteration
Curve
Theorem

### Keywords

• Contact interaction
• Method of variable parameters of elasticity
• Method of variational iterations
• Physical nonlinearity

### ASJC Scopus subject areas

• Control and Systems Engineering
• Aerospace Engineering
• Ocean Engineering
• Mechanical Engineering
• Applied Mathematics
• Electrical and Electronic Engineering

### Cite this

On the contact interaction between two rectangular plates. / Krysko, A. V.; Awrejcewicz, J.; Zhigalov, M. V.; Krysko, V. A.

In: Nonlinear Dynamics, Vol. 85, No. 4, 01.09.2016, p. 2729-2748.

Research output: Contribution to journalArticle

Krysko, AV, Awrejcewicz, J, Zhigalov, MV & Krysko, VA 2016, 'On the contact interaction between two rectangular plates', Nonlinear Dynamics, vol. 85, no. 4, pp. 2729-2748. https://doi.org/10.1007/s11071-016-2858-2
Krysko, A. V. ; Awrejcewicz, J. ; Zhigalov, M. V. ; Krysko, V. A. / On the contact interaction between two rectangular plates. In: Nonlinear Dynamics. 2016 ; Vol. 85, No. 4. pp. 2729-2748.
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