Potential. Solution of Poisson's Equation, Equations of Continuity and Elasticity - Physics > General PhysicsReportar como inadecuado




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Abstract: The modern theory of the potential does not give a solution of Poisson-sequation. In the present work its solution has been found via generalizedfunctions and a nonpotential solution of the continuity equation has beenobtained. The method is demonstrated by the solution of elasticity equationsusing 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 nocritical condition for a crack in the infinite specimen and the crack alwayscloses. Only the surface crack possesses the critical condition.



Autor: Alexander Ivanchin

Fuente: https://arxiv.org/







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