Abstract

A study of plane waves and fundamental solution in isotropic non-local couple stress micropolar thermoelastic solid without energy dissipation is undertaken. We observe that there exist four waves, namely, plane longitudinal wave, thermal wave and a set of two coupled transverse waves with different phase velocities. The penetration depth, specific loss, attenuation coefficient and phase velocity are evaluated numerically and shown graphically. The fundamental solutions of system of differential equations in case of steady oscillations in terms of elementary functions are investigated and some basic properties of this solution are established. A particular case is also discussed and compared with a known result.

摘要

研究了无能量各向同性非局部耦合应力微极性热弹性固体中的平面波和基本解。我们观察到存在四个波，即平面纵波，热波和一组两个具有不同相速度的耦合横波。数值计算穿透深度，比损耗，衰减系数和相速度，并以图形方式显示。研究了基本函数稳定振动情况下微分方程系统的基本解，并建立了该解的一些基本性质。还讨论了一种特殊情况，并将其与已知结果进行比较。