In this study, the poro‐thermoelastic problem with the effect of the magnetic field and Seebeck parameter was investigated. Modified Ohm's law that includes effects of the temperature gradient (Seebeck effect) and charge density, as well as generalized Fourier's law with current density, is introduced. We applied normal mode analysis to solve the resulting nondimensional coupled equations and then investigated the effects that nondimensional displacements, temperature distribution, excess pore water pressure, stresses, and induced magnetic field exerted on the poro‐thermoelastic half‐space medium. Numerical analyses are given graphically on the square (2D) and cubic (3D) domains to illustrate the effects of the porosity parameter, magnetic field, and Seebeck parameter on the physical variables.

中文翻译：

---

在塞贝克效应影响下的磁-孔-热弹性介质上

在这项研究中，研究了受磁场和塞贝克参数影响的孔隙热弹性问题。引入了包括温度梯度（塞贝克效应）和电荷密度影响的修正欧姆定律，以及具有电流密度的广义傅里叶定律。我们应用正态模式分析来解决由此产生的无量纲耦合方程，然后研究无量纲位移，温度分布，多余的孔隙水压力，应力和感应磁场对孔隙热弹性半空间介质的影响。在平方（2D）和立方（3D）域上以图形方式给出了数值分析，以说明孔隙率参数，磁场和塞贝克参数对物理变量的影响。