On certain contact problems for reinforced plates
type: Item
instance of: scholarly article
title: On certain contact problems for reinforced plates
zbMATH Open document ID: 0569.73116
DOI: 10.1016/0021-8928(84)90092-3
author: O. V. Onishchuk
author: G. Ya. Popov
author: Yu. S. Protserov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: Problems of the smooth contact with the linearly deformable base of an infinite plate reinforced by a thin elastic rib/stiffener/(of finite or semiinfinite length) are examined. The rib is subjected to a normal load while its ends are free. The bending moments in the reinforcing ribs are computed. Analogous problems are examined in the last authors' article, Prikl. Mekh. 15, No.7, 68-73 (1979; Zbl 0438.73093) for reinforcement by infinite ribs. The characteristic feature of the investigation is the reliance on solutions with non-integrable singularities for the integral equations of the contact problems mentioned, and the utilization of integrals in a regularized (generalized) sense.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 3909940
zbMATH Keywords: smooth contact
zbMATH Keywords: linearly deformable base
zbMATH Keywords: infinite plate
zbMATH Keywords: reinforced
zbMATH Keywords: thin elastic rib/stiffener
zbMATH Keywords: finite or semiinfinite length
zbMATH Keywords: normal load
zbMATH Keywords: ends are free
zbMATH Keywords: bending moments
zbMATH Keywords: solutions with non-integrable singularities
zbMATH Keywords: regularized
MaRDI profile type: Publication
full work available at URL: 0021-8928(84)90092-3
OpenAlex ID: W2083163812
cites work: Flexure of supproted plate lying on a linearly deformable base
cites work: Q3265951
cites work: Q3332356
cites work: Q3677323
cites work: Q3915482
description: scientific article; zbMATH DE number 3909940