Open AccessLarge deformations of a cylindrical tube with prestressed coatings
Author(s) -
Yu. N. Kulchin,
В. Е. Рагозина,
О. В. Дудко
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524845547-549
Subject(s) - isotropy , compressibility , mechanics , levy–mises equations , rotation (mathematics) , classical mechanics , shock wave , finite strain theory , nonlinear system , materials science , physics , mathematics , geometry , composite material , thermodynamics , optics , stress intensity factor , quantum mechanics , finite element method , fracture mechanics
General theoretical relations for calculating the redistribution of the preliminary irreversible strain field during unloading or elastic loading of a medium are obtained for the nonlinear multiplicative gradient model of large elastic-plastic deformations. It is shown that the dynamics of elastic shock waves does not depend directly on the previously accumulated plastic strains. A formula for the plastic-strain rotation tensor is obtained. It is shown that rigid rotation of plastic strains under elastic shock waves can be jump-like. All results are obtained for the general case of model relations of isotropic media and are valid for both compressible and incompressible materials.