Evaluation of mechanical behavior of textile microfibers

Polymers have extensive applications in various industries. One of them is the application of polymer materials in the textile industry which is an important and profitable industry. Assessment of physical and chemical properties of polymers can serve for analysis purposes of constitutive materials of apparel. This paper presents a mechanical study on the torsional dynamic behavior of textile microfibers i.e., polyester and nylon which are the common materials in the textile industry. As observed in the former investigation, microfibers have different cross-sections. Hence, elliptical and triangular shapes are considered for cross-section of textile microfibers. Nonlocal strain gradient theory in conjunction with Timoshenko-Gere theory is implemented to derive the partial differential governing equations of polyester and nylon microfibers. The accuracy of the utilized methodology is compared with the findings of former investigations. Moreover, two boundary conditions i.e., clamped–clamped and clamped-free are taken into account.
At last, the impacts of various remarkable variants including microfibers cross-section geometry parameters, length scale, and nonlocal parameters on the variation of natural torsional frequency are evaluated and demonstrated in a set of tables and diagrams.