Equal temperatures of the complementary micropolar Schaefer-Ignaczak thermodynamical process in the first plane state of elastic strains of unbounded micropolar body - Fourier-Schaefer-Ignaczak formulas Dr

Authors

  • منتجب الحسن الرياضيات التطبيقية في قسم الرياضيات – كلية العلوم بجامعة حمص.
  • منير مخلوف الرياضيات النظرية في قسم الرياضيات – كلية العلوم بجامعة حمص.
  • خضر الصالح اختصاص رياضيات تطبيقية في قسم الرياضيات – كلية العلوم بجامعة حمص.

Keywords:

Equal temperatures, Schaefer-Ignaczak thermodynamical processes, first plane state of micropolar elastic stains, Fourier formulas.

Abstract

This paper concerns the Ignaczak stress-temperature description [1] of the homogenous isotropic 2D micropolar thermodynamical body, in the first plane state of elastic strain, which discussed by Eringen [2] and Nowacki [3]. In [4] we provide this problem with new analytical method called Schaefer-Ignaczak method. In this paper, we do the following:

  1. We prove that the complementary micropolar Schaefer-Ignaczak process is an isothermal process for infinite 2D (E-N:5) [3,5], with no stresses and temperature at infinity,
  2. then we find the related Fourier-Schaefer-Ignaczak formulas [4] for the classical and complementary micropolar behaviors of a two-dimensional infinite body 2D (E-N:5), which is a micropolar thermodynamical body.

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Published

2026-06-22