Composite materials are among the most sought-after materials in major aerospace, automotive, naval applications of the 21^st century. It is therefore paramount to conduct detailed materials analysis to obtain the elastic properties of attendant materials with respect to their dynamics in operation. This is technically cost-effective in eliminating repeated laboratory testing for very minute changes in input parameters. The model is a square-type unidirectional (UD) representative volume element (RVE) modelled in Abaqus CAE 6.14. An infinitesimal remote strain induced by means of a small displacement (15-20% of the boundary box length) from a reference/remote point tied kinematically and periodically to the face in question. The mesh sensitivity study was carried out in Ansys R22 because of its practical parametric sweep function, although mesh size was limited to 3 µm below which the number of nodes is not acceptable for the sake of license. The respective plots and attendant discussions are presented in the result section.