On the solution of three-dimensional boundary value problems for layered bodies with nonplanar interfaces
type: Item
instance of: scholarly article
title: On the solution of three-dimensional boundary value problems for layered bodies with nonplanar interfaces
zbMATH Open document ID: 0868.73050
DOI: 10.1007/BF00848507
author: Yu. N. Nemish
published in: International Applied Mechanics
publication date: 1995-11-02T00:00:00Z
review text: The three-dimensional boundary value problems of the mechanics of layered bodies, with interfaces that are described by nonlinear equations in terms of small parameters, are examined. The author constructed in a general form the recurrence relations and the differential operators of the accuracy that is required for applications. Some particular cases are studied and possible criteria are presented for evaluating the accuracy of the approximate solutions that are obtained with the boundary shape perturbation method.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 803848
zbMATH Keywords: small parameters
zbMATH Keywords: recurrence relations
zbMATH Keywords: differential operators
zbMATH Keywords: boundary shape perturbation method
reviewed by: Z. F. Baczyński
MaRDI profile type: Publication
cites work: Three-dimensional boundary-value problems of the theory of elasticity for noncanonical regions
cites work: One method of studying the stress state of an elastic layer in a foreign medium with noncanonical interfaces
cites work: Q4002012
cites work: On the theory of elasticity of inhomogeneous media
full work available at URL: https://doi.org/10.1007/bf00848507
OpenAlex ID: W2071191911
description: scientific article; zbMATH DE number 803848