Weight functions and fundamental fields for the penny-shaped and the half-plane crack in the three-space
type: Item
instance of: scholarly article
title: Weight functions and fundamental fields for the penny-shaped and the half-plane crack in the three-space
zbMATH Open document ID: 0601.73102
DOI: 10.1016/0020-7683(87)90032-1
author: Hans F. Bueckner
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: Weight functions permit to represent stress intensity factors as weighted averages of the externally impressed boundary tractions and body forces. In this paper the relevant weight functions of all three modes are represented in closed form with the aid of elementary transcendentals. Their derivation as displacements of fundamental fields is simple and without recourse to integral transforms of any kind.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 3970258
zbMATH Keywords: singularity condensation
zbMATH Keywords: shearing modes
zbMATH Keywords: regular fields
zbMATH Keywords: harmonic potentials of fundamental fields
zbMATH Keywords: penny shaped crack
zbMATH Keywords: Weight functions
zbMATH Keywords: stress intensity factors
zbMATH Keywords: weighted averages
zbMATH Keywords: externally impressed boundary tractions and body forces
zbMATH Keywords: elementary transcendentals
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90032-1
OpenAlex ID: W2046316518
description: scientific article; zbMATH DE number 3970258