Binary Composite Fiber Elasticity using Spring-Mass and Non-Interacting Parallel Sub-Fiber Model

Sparisoma Viridi
2016 KnE Engineering  
Composite materials have been investigated elsewhere. Most of the studies are based on experimental results. This paper reports a numerical study of elasticity modulus of binary fiber composite materials. In this study, we use binary fiber composite materials model which consists of materials of types A and B. The composite is simplified into compound of non-interacting parallel sub-fibers. Each sub-fiber is modeled as N<sub>s</sub> point of masses in series configuration. Two adjacent point of
more » ... o adjacent point of mass is connected with spring constant k (related and proportional to Young modulus E), where it could be k<sub>AA</sub>, k<sub>AB</sub>, or k<sub>BB</sub> depend on material type of the two point of masses. Three possible combinations of spring constant are investigated: (a) [k<sub>AB</sub> &lt; min(k<sub>AA</sub>, k<sub>BB</sub>)], (b) [min(k<sub>AA</sub>, k<sub>BB</sub>) &lt; k<sub>AB</sub> &lt; max(k<sub>AA</sub>, k<sub>BB</sub>)], and (c) [max(k<sub>AA</sub>, kBB) &lt; k<sub>AB</sub>]. The combinations are labeled as composite type I, II, and III, respectively. It is observed that only type II fits most the region limited by Voight and Reuss formulas.
doi:10.18502/keg.v0i0.519 fatcat:nb3f7mhyxbfnnbqhu7ngd2bhoa