Theory and applications of intermediate operators. II: Elastostatics with discontinuous coefficients, the problem of the displacements
type: Item
instance of: scholarly article
title: Theory and applications of intermediate operators. II: Elastostatics with discontinuous coefficients, the problem of the displacements
zbMATH Open document ID: 0785.73015
author: F. Lanzara
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1993-02-18T00:00:00Z
full work available at URL: https://eudml.org/doc/244240
review text: Summary: The theory of note I [ibid. 3, No. 2, 79-101 (1992; Zbl 0777.47012)] is applied to the boundary value problem of elastostatics when vanishing displacements are given on the boundary. The elastic coefficients are only supposed to be bounded and measurable. As a base problem the analogous boundary value problem for an isotropic homogeneous body is assumed. For this problem the Green operator and the Green matrix are explicitly constructed and their properties exhaustively studied, so that the theory of intermediate operators, as developed in note I, can be applied to the general case.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 124182
zbMATH Keywords: isotropic homogeneous body
zbMATH Keywords: Green operator
zbMATH Keywords: Green matrix
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 124182