Constitutive relations and field equations are developed for an isotropic linear micropolar thermoelastic material with voids within the context of Eringen’s theory of nonlocal elasticity. It is found that six plane waves may propagate in this medium consisting of four sets of coupled dilatational waves and two sets of coupled transverse waves. All the waves are found to be affected by the nonlocality of the medium, however, the sets of coupled transverse waves do not depend on the presence of thermal and void parameters in the medium. The dispersion relation yielding the speeds of coupled dilatational waves is analyzed, in particular, and several earlier known results are recovered from the present formulation. Numerical computations for a specific material are performed to clarify the effects of wave characteristics in detail. The computational results are displayed through graphs and explained.

在艾林根非局部弹性理论的背景下，开发了一种具有空隙的各向同性线性微极性热弹性材料的本构关系和场方程。发现六种平面波可以在由四组耦合的膨胀波和两组耦合的横波组成的介质中传播。发现所有波都受介质的非局部性影响，但是，耦合的横波集并不取决于介质中热参数和空隙参数的存在。特别地，分析了产生耦合的膨胀波速度的色散关系，并且从本发明的配方中回收了一些较早的已知结果。对特定材料进行数值计算，以详细阐明波浪特征的影响。