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Physics of basic motions in asymmetric continuum

Teisseyre R., Górski M.

Acta Geophysica

2007

Vol. 55, no. 2

119-132

We consider the advantages of a formalism based on concept of the asymmetric continuum and we present some equivalence theorems relating it to the asymmetric elasticity and to micropolar and micromorphic theories as founded by Nowacki, Cosserats and Eringen. We consider the basic processes in an asymmetric continuum which could be reduced to the point basic motions/deformations. The coaction of spin and shear motions is assumed to play the main role in fracturing process, while the constitutive relation between the antisymmetric stresses and rotations replaces the friction constitutive law.

Asymmetric Continuum and Anisotropy

Teisseyre R.

Acta Geophysica

2006

Vol. 54, no. 3

225-238

We present a relation between stress moments and antisymmetric part of stresses and the related constitutive law joining those stresses with the particle/point rotations. Correspondence of the asymmetric continuum theory to the micromorphic theory is considered. An extension of the asymmetric continuum theory for the case of 2D anisotropy for antisymmetric stresses leads us to the problems of friction ani-sotropy and fracture pattern.