A variational formulation of the perturbed motion problem for a viscoelastic body
type: Item
instance of: scholarly article
title: A variational formulation of the perturbed motion problem for a viscoelastic body
zbMATH Open document ID: 0799.73038
DOI: 10.1016/0020-7683(94)90053-1
author: Giovanni Menditto
author: Andrea Dall'asta
published in: International Journal of Solids and Structures
publication date: 1994-08-03T00:00:00Z
review text: We provide a variational formulation of the problem as an alternative to the differential formulation used to date, by solving the so-called inverse problem of the calculus of variations. This paper shows how the operator ruling the problem can be made symmetric by using a convolution bilinear form to obtain four functionals which are stationary at the solution of the differential problem. In conclusion, for example, the two-dimensional equations of the perturbed motion of a viscoelastic thin plate are derived from the stationary condition of the three-dimensional functional.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74Hxx
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 612093
zbMATH Keywords: inverse problem
zbMATH Keywords: convolution bilinear form
zbMATH Keywords: viscoelastic thin plate
MaRDI profile type: Publication
full work available at URL: 0020-7683(94)90053-1
OpenAlex ID: W1965477526
description: scientific article; zbMATH DE number 612093