Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2025
  • Volume: 17
  • Issue: 2

Thermo Mechanical Response of Micro Elongated Skin Tissue in the Purview of Lord-Shulman Model Under Thermal Loading

1Research Scholar, Department of Physical Sciences (Mathematics), Baba Mastnath University, Rohtak (Haryana)

2Professor, Department of Physical Sciences (Mathematics), Baba Mastnath University, Rohtak (Haryana)

3Assistant Professor, Government College, Barwala, Hisar (Haryana)

*E-mail: baljitsingh1729@gmail.com

Online published on 29 January, 2026.

Abstract

This study investigates two-dimensional disturbances in a homogeneous, isotropic micro-elongated thermo elastic medium. The medium is characterized by a human skin tissue structure and the analysis is based on the Lord-Shulman theory. The resulting mathematical model employs normal mode technique to solve a specific case of a half-space subjected to thermal shock loading. A numerical study is carried out with the aid of computer programming using the software MATLAB in order to examine the effects of time, micro-elongated parameter and skin tissue parameter on the physical quantities. One limiting case is also extracted from the general formulation to confirm the validity and consistency of the results.

Keywords

Micro elongated, Lord Shulman theory, Skin tissue, Thermal load, Normal mode analysis