Exponential Green–Lindsay model for one-dimensional bio-thermo-mechanical response of thin-layer skin tissue under laser irradiation

To examine the bio-thermo-mechanical behavior of biological skin tissue under uniform laser irradiation, this work offers a unique theoretical framework based on the exponential Green–Lindsay thermoelastic theory. The Laplace transform is used to formulate and explain the coupled governing equations analytically, and numerical inversion is utilized to get stable time-domain solutions. The suggested model is validated with a realistic numerical example, and comparisons with current thermoelastic models show good agreement. It is found that the temperature, displacement, and stress distributions are in line with known physical behavior. Specifically, oscillating patterns that get stronger over time are seen in dilatation and stress. Convective cooling also causes a slight rise in the magnitudes of displacement, dilatation, and stress. These findings support the model’s resilience and highlight its potential utility in biomedical applications, particularly in dermatology and cosmetic research.