Flat punch of arbitrary shape on an elastic half-space
type: Item
instance of: scholarly article
title: Flat punch of arbitrary shape on an elastic half-space
zbMATH Open document ID: 0601.73115
DOI: 10.1016/0020-7225(86)90078-9
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: A new method is proposed for the analysis of elastic contact problems for a flat punch of arbitrary planform under the action of a normal centrally applied force. The method is based of an integral representation for the reciprocal distance between two points obtained by the author earlier [Izv. Vyssh. Uchebn. Zaved., Mat. 1971, No.2(105), 102-104 (1971; Zbl 0221.45006)]. A simple yet accurate relationship is established between the punch settlement and the applied force for an arbitrary flat punch. Specific formulae are derived for a punch whose planform has a shape of a polygon, a triangle, a rectangle, a rhombus, a circular sector and a circular segment. All the formulae are checked against the solutions known in the literature, and a good accuracy is confirmed.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
zbMATH DE Number: 3970271
zbMATH Keywords: flat punch
zbMATH Keywords: arbitrary planform
zbMATH Keywords: normal centrally applied force
zbMATH Keywords: integral representation
zbMATH Keywords: polygon
zbMATH Keywords: triangle
zbMATH Keywords: rectangle
zbMATH Keywords: rhombus
zbMATH Keywords: circular sector
zbMATH Keywords: circular segment
author: V. I. Fabrikant
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90078-9
OpenAlex ID: W1964487701
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description: scientific article; zbMATH DE number 3970271