Contact Interaction Between Parabolic Punch and Elastic Strip Bonded to Poroelastic Half-Plane

Чебаков, М. И.; Колосова, Е. М.

doi:10.1007/978-3-030-76481-4_27

Cited by 6 publications

(1 citation statement)

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“…In practice, porous materials are widely used in technology and medicine, especially in the aerospace industry. (Chebakov et al, 2021). Among the different theories used to describe porous materials, the most common is the Cowin-Nunziato theory, which considers that porous elastic materials are elastic materials with small unfilled pores (voids) distributed throughout the volume (Kolosova and Chebakov, 2020).…”

Section: Introductionmentioning

confidence: 99%

Frictional Contact Mechanics for a Functionally Graded Porous Materials

Çömez

2024

Preprint

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This paper investigates the plane sliding contact problem of a functionally graded (FG) porous layer pressed by a rigid flat punch analytically. According to the actual behavior of the contact, the friction effect between the punch and the FG porous layer is considered. It is assumed that it is completely bonded to the rigid base from the lower surface of the porous layer. With the help of the Fourier transform, the governing equations were reduced to ordinary differential equations, and the expressions for the general stress displacement and the change in the volume fraction of the pores were derived. Using the problem's boundary conditions, the contact problem is reduced to a Cauchy-type singular integral equation of the second kind where the contact stress and the contact widths under the punch are unknown. The Gauss-Jacobi integration formula is utilized for the numerical solution of the singular integral equation. Numerical results for contact and in-plane stresses under the rigid punch are presented for various parameters as graphs.

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Section: Introductionmentioning

confidence: 99%