Acceleration waves in thermoelastic micropolar continuum

For general nonlinear thermoelastic micropolar media, the propagation of acceleration waves is investigated. Accelertion wave is a propagating weak singular surfaces surface which is singular with respect to second derivatives of the motion of the body. Micropolar media or Cosserat continuum is a model of continuum in which all particles have six degrees of freedom of rigid body. Within framework of micropolar theory some phenomena in real media with microstructure can be modelled. The kinematic and dynamic compatibility relations at the singular surface are discussed. For nonlinear elastic micropolar body, the expression of acoustic tensor and formulation of an analog of Fresnel-Hadamard-Duhem theorem are given.