Potential. Solution of Poisson's Equation, Equations of Continuity and Elasticity
General Physics
2010-11-23 v1
Abstract
The modern theory of the potential does not give a solution of Poisson's equation. In the present work its solution has been found via generalized functions and a nonpotential solution of the continuity equation has been obtained. The method is demonstrated by the solution of elasticity equations using the example of a crack in the infinite specimen and a surface crack. Their elastic energies have been calculated. In has been shown that there is no critical condition for a crack in the infinite specimen and the crack always closes. Only the surface crack possesses the critical condition.
Keywords
Cite
@article{arxiv.1011.4723,
title = {Potential. Solution of Poisson's Equation, Equations of Continuity and Elasticity},
author = {Alexander Ivanchin},
journal= {arXiv preprint arXiv:1011.4723},
year = {2010}
}
Comments
24 pages