Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
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.
scientific article; zbMATH DE number 63878
scientific article