Publications in year 1994

Vol. 8, Issue 4



A mathematical model of cocoa pod deformation based on hertz theory

International Agrophysics
Year : 1994
Volumen : 8
Issue : 3
Pages : 403 - 409
  PDF 236.93 KB
Authors: M. Faborode1, R. Dinrifo1

1Department of Agricultural Engineering, Obafemi Awolowo University, Ile-Ife, Nigeria
Abstract :

Abstract. A mathematical model based on Hertz's theory of contact stress was developed for the analysis of cocoa pod deformation when subjected to a uni-axial compressive stress, in its lateral axis, between rigid parallel plates. A two-sample t-test comparison of the experimentally measured values of the stiffness modulus and those obtained from the initial Hertz theory equations indicated a very significant difference, which was observed to be due to the irregular shape of the pod, its furrowed circumference and internal hollow-ness, contrary to some basic assumptions of the theory. Correcting factors developed to account for these irregularities significantly improved the predictions of the modified Hertz relation. The shape factor, which ex-pressed the deviation of the material from a true ellipsoid in terms of the material contact area with the loading plate, was found to be the most critical correction factor in terms of which a combined correction factor could be expressed to simplify necessary computations.

Keywords : Hertz theory, cocoa pod, agricproduct deformation, mechanical property
Language : English