Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
type: Item
instance of: scholarly article
title: Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
zbMATH Open document ID: 0780.73014
DOI: 10.1007/BF01177002
published in: Acta Mechanica
publication date: 1992-09-27T00:00:00Z
review text: The main objective is a critical investigation of various formulations of the continuum mechanics balance law of linear momentum within the scope of nonlinear inhomogeneous elasticity. The authors derive four formulations of the linear momentum balance by using corresponding variational formulations and show that the here developed, before rarely used, completely material (Lagrangian) formulation is the most useful one for the study of material inhomogeneities which appear explicitly in this and in the mixed-Eulerian formulation as a material force term. The connection and the application possibilities of these results to brittle fracture are given. The paper is a good review on this topic, too. There is some confusion by the reference quotations in the text relating to the numbers of the reference list.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
zbMATH DE Number: 63878
zbMATH Keywords: canonical momentum
zbMATH Keywords: Eshelby tensor
zbMATH Keywords: \(I\)-integral
zbMATH Keywords: Lagrangian description
zbMATH Keywords: Hamilton's principle
zbMATH Keywords: balance law
zbMATH Keywords: linear momentum
zbMATH Keywords: inhomogeneous elasticity
author: Gérard A. Maugin
author: Carmine Trimarco
reviewed by: Tomislav Zlatanovski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 63878