The nanocomposite mat employed in this research is made of composite polyethylene nanofibers (nanocomposite mat) that have been strengthened with silver nanoparticles and electro spun to a linen fabric (plain-woven). The goal of this research is determining the mechanical behavior numerical investigation of the composite structure, consisting of the polymeric nanocomposite mat and textile. To achieve this, in this research was created a 3D model of the plain-woven fabric with the nanocomposite mat and extracted a single unit element from it used to identify the mechanical properties of the nanocomposite mat with the woven fabric. The 3D model of the woven fabric was developed as per Hearl’s lenticular section geometry with an elliptical form of the linen yarn created in SolidWorks with sizes of the cross section of the woven fabric of 0.375 mm major axis and 0.075 mm minor axis. This single unit was bonded with nanocomposite mats of various thicknesses such as 0.01 mm, 0.015 mm, and 0.02 mm. Using ANSYS static structural simulation on the unit cell model, the longitudinal Young’s modulus of the various nanocomposite mat thickness layers with the linen fabric were determined. Young’s modulus values changed within the limit of the 0.002 GPa with the thickness of the nanocomposite mat. The numerical simulation corresponds with the experimental results within a margin of error of 2.8%. Practical application: back support belts can be constructed with this reinforced nanocomposite mat affixed to a linen cloth. Silver nanoparticles embedded in the nanocomposite mat enhance the material strength and antibacterial characteristics, making it suitable for use in luxury automotive and back support belts.