**65**, 1, pp. 201–208, 2017

### On Thermodynamically Consistent Form of Nonlinear Equations of the Cosserat Theory

**Keywords**: Cosserat continuum; curvature tensor; thermodynamically consistent system

**Full Text:**PDF

#### References

Pal’mov V.A., Fundamental equations of the theory of asymmetric elasticity, J. Appl. Math. Mech., 28(3): 496–505, 1964.

Nikitin E., Zubov L.M., Conservation laws and conjugate solutions in the elasticity of simple materials and materials with couple stress, J. Elast., 51: 1–22, 1998.

Pietraszkiewicz W., Eremeev V.A., On natural strain measures of the non-linear micropolar continuum, Int. J. Solids Struct., 46: 774–787, 2009.

Godunov S.K., Romenskii E.I., Elements of Continuum Mechanics and Conservation Laws, Kluwer Academic / Plenum Publishers, New York – Boston – Dordrecht – London – Moscow, 2003.

Sadovskaya O., Sadovskii V., Mathematical Modeling in Mechanics of Granular Materials, Ser.: Advanced Structured Materials, 21. Springer, Heidelberg – New York – Dordrecht – London, 2012.

Kondaurov V.I., Non-linear equations of the dynamics of an elastic micropolar medium, J. Appl. Math. Mech., 48(3): 291–299, 1984.

Sadovskii V.M., Thermodynamically consistent system of conservation laws of nonsymmetric elasticity theory [in Russian], Dal'nevost. Mat. Zh., 11(2), 201–212, 2011.