Influence of the dispersion on some structures in solids and fluids

Evelina V. Prozorova

doi:10.1117/12.619680

29 April 2005 Influence of the dispersion on some structures in solids and fluids

Evelina V. Prozorova

Proceedings Volume 5831, Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2005) https://doi.org/10.1117/12.619680
Event: Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 2004, St. Petersburg, Russian Federation

Abstract

Any movement of an elementary volume of liquid at the moment can be considered as a result of the following motion: quasi-solid motion that is translation with selecting pole, rotating motion around this pole and deformation motion. This theorem was proved by Helmholtz. Prandtl formulated the concept of hardplastic body as the theory of ideal plasticity. Usually we do not take into account twist velocity. The angular momentum is responsible for the twist velocity. In a relation between the conservation laws in continual mechanics and variation of the angular momentum in an elementary volume was considered. The laws were obtained from the modified Boltzmann equation for gas but the reasons of modification were not enough discussed. We begin this paper with some notation about singularity of the Boltzmann equation. It can be deduced both from the equation for N-particle distribution function and as a balance of particles of analyzed value in an elementary volume.

Citation Download Citation

Evelina V. Prozorova "Influence of the dispersion on some structures in solids and fluids", Proc. SPIE 5831, Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (29 April 2005); https://doi.org/10.1117/12.619680

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