On the Neuber theory of micropolar elasticity. A pseudotensor formulation

Abstract

The present paper deals with a pseudotensor formulation of the Neuber theory of micropolar elasticity. The dynamic equations of the micropolar continuum in terms of relative tensors (pseudotensors) are presented and discussed. The constitutive equations for a linear isotropic micropolar solid is given in the pseudotensor form. The final forms of the dynamic equations for the isotropic micropolar continuum in terms of displacements and microrotations are obtained in terms of relative tensors. The refinements of Neuber's dynamic equations are discussed. Those are also considered in the cylindrical coordinate net.

Keywords

• micropolarity
• elasticity
• continuum
• microrotation
• pseudoscalar
• relative tensor
• weight
• constitutive equation