This article has been devoted to investigating the thermoelastic diffusion problem of an infinite medium. The simple and refined single/dual-phase-lag Green–Naghdi models with and without energy dissipation are proposed. The exact solution of thermodiffusion coupling equations has been obtained considering the regularity conditions. The distributions of the non-dimensional temperature, dilatation, displacement, stresses, concentration and chemical potential are obtained and illustrated graphically. The validity of results is acceptable by comparing all outcomes. Benchmark results are reported to help other investigators in their future comparisons.

中文翻译：

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无限介质中热弹性扩散的改进双相滞后Green-Naghdi模型

本文致力于研究无限介质的热弹性扩散问题。提出了具有和不具有能量耗散的简单和完善的单相/双相滞后格林-纳格迪模型。考虑规则性条件，获得了热扩散耦合方程的精确解。获得了无量纲温度，膨胀，位移，应力，浓度和化学势的分布，并以图形方式进行了说明。通过比较所有结果，结果的有效性是可以接受的。报告基准结果可帮助其他研究人员将来进行比较。