This article is cited in 2 papers

Wave criteria for ultratropic micropolar elastic solids

E. V. Murashkin, Yu. N. Radayev

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow

Abstract: The paper is devoted to the problems concerning propagation of plane harmonic waves of translational and spinor displacements in ultratropic micropolar elastic solids. The concept of an ultratropic micropolar elastic body is discussed. An energy form of stress potential for an anisotropic micropolar elastic body is presented and constitutive equations for ultrahemitropic/ultraisotropic micropolar elastic solids are obtained. A systems of partial differential equations formulated by terms of the translational displacement vector and the spinor displacement vector for ultrahemitropic/ultraisotropic micropolar elastic solids is derived. The equations for wavenumbers of longitudinal and transverse waves propagating in ultrahemitropic/ultraisotropic micropolar elastic solids are obtained and discussed. A criterion for propagating transverse harmonic waves in ultratropic micropolar elastic solids is formulated.

Keywords: micropolar thermoelasticity, ultrahemitropic solid, ultraisotropic solid, translational displacement, spinor displacement, plane time-harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation, polarization vector.

UDC: 539.374

Received: 20.12.2024
Revised: 25.12.2024
Accepted: 25.12.2024

DOI: 10.37972/chgpu.2024.62.4.009