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Development and experimental validation of a mathematical model of shear rigidity of woven fabric structures

Md Samsu Alam, Abhijit Majumdar, Anindya Ghosh
The journal of the Textile Institute 2025 v.113 no.5 pp. 824-832
firmness, mathematical models, polymers, woven fabrics
Shear is one of the most important mechanical behaviours which differentiates a woven fabric from papers and polymeric sheets. In this work a generalised mathematical model of shear rigidity of woven fabric applicable to all types of weaves has been proposed. The model demonstrates the shear rigidity of woven fabric as a function of yarn bending rigidity, fabric structural parameters and crossover firmness factor. Experimental shear rigidity results are compared with the theoretically predicted ones and a very good agreement is reached. The proposed mathematical model can able predict the shear rigidity of any woven fabric structure and thus foretells the usefulness of the fabric for a particular use.