aspg-34-2561-1791482663 20261008180423 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 2023 3 1 Kheder Manhal Al-Saleh PHD Student. Department of Mathematics, Albaath University, Homs, Syria Mountajab Al-Hasan Mountajab Al-Hasan, Prof. Department of Mathematics, Albaath University, Homs, Syria Monir Makhlouf Department of Mathematics, Albaath University, Homs, Syria This paper concerns the Ignaczak stress-temperature distribution [2] of the homogenous isotropic 2D micropolar thermodynamical in the first plane state of elastic strain, which discussed by Eringen [9] and Nowacki [8]. In [1] we provide this problem with new analytical method called Schaefer-Ignaczak method. In the paper, we do the following; We prove that the complementary Schaefer-Ignaczak process is an isothermal process for infinite 2D (E-N:5) [6,8], with no stresses and temperature at infinity, and then we find the related Fourier Schaefer-Ignaczak formulas [1] for the classical and complementary behavior of a two-dimensional infinite body (E-N:5), which is a micropolar body. 2023 01 08 2561 https://creativecommons.org/licenses/by/4.0/ 10.54216/PAMDA.030101 https://www.americaspg.com/journal/34/article/2561 https://www.americaspg.com/storage/articles/manuscripts/01M1SYX7E63EQX5K87TETXPCDD.pdf