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Design for limit stresses of orange fruits (Citrus sinensis) under axial and radial compression as related to transportation and storage design

Ihueze, Christopher Chukwutoo, Mgbemena, Chika Edith
Journal of the Saudi Society of Agricultural Sciences 2017 v.16 no.1 pp. 72-81
Citrus sinensis, energy, finite element analysis, fruits, modulus of elasticity, oranges, shear stress, transportation
This article employed the Hertz contact stress theory and the finite element method to evaluate the maximum contact pressure and the limit stresses of orange fruit under transportation and storage. The elastic properties of orange fruits subjected to axial and axial contact were measured such that elastic limit force, elastic modulus, Poisson’s ratio and bioyield stress were obtained as 18N, 0.691MPa, 0.367, 0.009MPa for axial compression and for radial loading were 15.69N, 0.645MPa, 0.123, 0.010MPa. The Hertz maximum contact pressure was estimated for axial and radial contacts as 0.036MPa. The estimated limiting yield stress estimated as von Mises stresses for the induced surface stresses of the orange topologies varied from 0.005MPa–0.03MPa. Based on the distortion energy theory (DET) the yield strength of orange fruit is recommended as 0.03MPa while based on the maximum shear stress theory (MSST) is 0.01MPa for the design of orange transportation and storage system.