The present work is concerned with the temperature-rate-dependent theory of poro-thermoelasticity for anisotropic homogeneous medium and aims to establish the variational principle based on this theory for the fluid-saturated poro-thermoelastic medium. Here, the principle of virtual work is applied to derive the expressions for the generalized strain energy, Biot’s free energy, and the total work done by the system during the thermo-mechanical process. Further in view of this, the variational principle is established in the context of the temperature-rate-dependent poro-thermoelasticity. We also prove that a reciprocity theorem results for a general problem of poro-thermoelasticity of an anisotropic medium.

目前的工作涉及各向异性均质介质的孔隙热弹性的温度速率相关理论，旨在建立基于该理论的流体饱和孔隙热弹性介质的变分原理。在这里，应用虚功原理推导出广义应变能、毕奥自由能和系统在热机械过程中所做的总功的表达式。进一步考虑到这一点，在温度-速率相关的多孔热弹性的上下文中建立了变分原理。我们还证明了互易定理对于各向异性介质的多孔热弹性的一般问题的结果。