Elastostatics with non absolutely continuous data
type: Item
instance of: scholarly article
title: Elastostatics with non absolutely continuous data
zbMATH Open document ID: 0723.73023
DOI: 10.1007/BF00041683
published in: Journal of Elasticity
publication date: 1990-01-01T00:00:00Z
review text: In this paper boundary value problems of classical elastostatics are studied when the surface and body forces are not absolutely continuous fields. Th author assumes that both fields (surface forces and body forces) are countably additive and of bounded variation, i.e., they represent a vector measure on the surface of the body. The existence and uniqueness (up to rigid displacements) theorems are proved. Also the conditions are formulated, the vectors for body and surface forces have to satisfy in order that the energy integral is finite. This paper is an important contribution to the existence theory of classical elastostatics.
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 4193218
zbMATH Keywords: finite energy integral
zbMATH Keywords: boundary value problems of classical elastostatics
zbMATH Keywords: vector measure
zbMATH Keywords: existence
zbMATH Keywords: rigid displacements
author: A. Cialdea
reviewed by: Teodor Atanacković
MaRDI profile type: Publication
cites work: Q3266603
cites work: Q5800987
cites work: Linear elliptic differential systems and eigenvalue problems
cites work: Differential forms. With applications to the physical sciences
cites work: Q3229117
cites work: On concentrated loads and Green's functions in elastostatics
full work available at URL: https://doi.org/10.1007/bf00041683
OpenAlex ID: W2019090809
description: scientific article; zbMATH DE number 4193218