Introduction to asymmetric continuum: dislocations in solids and extreme phenomena in fluids |
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Authors: | Roman Teisseyre |
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Institution: | (1) Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland |
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Abstract: | We present a new approach to the continuum theories: for solids, our version includes the asymmetric stresses, symmetric strains
and antisymmetric rotations, while for fluids we take the similar assumptions but related to the respective time rates of
these fields.
We consider the constitutive relations and the balance laws: those related to the antisymmetric stresses are equivalent and
substitute the required relations for the angular moment; a similar approach with rates of these fields is applied for fluids.
The stress-dislocation relations are derived and the role of rotation motions in the fracture processes in solids is studied.
A new theory of the extreme motion phenomena in fluids is developed. |
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Keywords: | antisymmetric stresses stress-dislocation relations fracture processes fracture synchronization fluid extreme phenomena soliton waves |
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