WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 16, 2021
Influence of the Angular Momentum in Problems Continuum Mechanics
Author:
Abstract: For continuum mechanics a model is proposed, that is built with consideration outside
the integral term when deriving conservation laws using the Ostrogradsky-Gauss theorem.
Performed analysis shows discrepancy between accepted classical conservation laws and
classical theoretical mechanics and mathematics. As a result, the theory developed for potential
flows was extended to flows with significant gradients of physical parameters. We have
proposed a model that takes into account the joint implementation of the laws for balance of
forces and angular momentums. It does not follow from the Boltzmann equation that the pressure
in the Euler and Navier-Stokes equations is equal to one third of the sum the pressures on the
corresponding coordinate axes. The vector definition of pressure is substantiated. It is shown that
the symmetry condition for the stress tensor is one of the possible conditions for closing the
problem. An example of solving the problem of the theory of elasticity is given.
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Pages: 1-8
DOI: 10.37394/232011.2021.16.1