Open AccessElements of nonlinear continuum mechanics in the modern theory
Author(s) -
Г. Л. Бровко
Publication year - 2015
Publication title -
izvestiâ mgtu "mami"
Language(s) - English
Resource type - Journals
eISSN - 2949-1428
pISSN - 2074-0530
DOI - 10.17816/2074-0530-67114
Subject(s) - continuum mechanics , nonlinear system , generalization , classical mechanics , tensor (intrinsic definition) , continuum hypothesis , mathematics , analytical mechanics , tensor calculus , peridynamics , calculus (dental) , tensor field , physics , mathematical analysis , geometry , exact solutions in general relativity , quantum mechanics , medicine , dentistry , quantum dynamics , quantum
The theoretical advancement in the field of modern nonlinear continuum mechanics is discussed. The paper includes elements of the mathematical apparatus, development of the foundations of a General tensor theory of mechanical processes and their representations, including generalization of concepts of objective derivatives and integrals, concepts of tensor measures of stresses and deformations, new approaches in theory of the resistance of solids to deformation.