Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod

Josué Dzudié Fonsso; Wolfgang Nzié; Guy Edgar Ntamack; Bienvenu Kenmeugné

doi:doi:10.11648/j.ijmea.20160405.13

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Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod

Josué Dzudié Fonsso, Wolfgang Nzié, Guy Edgar Ntamack, Bienvenu Kenmeugné

Published in International Journal of Mechanical Engineering and Applications (Volume 4, Issue 5)

Received: 11 August 2016 Accepted: 27 August 2016 Published: 21 September 2016

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Abstract

Cocoa seeds damage is a major problem facing cocoa farmers during breaking process. Hertz's theory on the contact forces was used for prediction of the rupture force just required to break a cocoa pod under compressive load along its lateral axis. Different varieties of cocoa pods were first subjected to compressive forces. Then they were placed on a test bench and subjected to the impact forces of steel mass dropped at different heights. The objective of this study is to improve the productivity of cacao pods breaker predicting the necessary rupture force. The model of the rupture force obtained from Hertz's theory performed good results compared with experimental values measured in the process of breaking the pods. The average ruptures forces of the cacao pods varieties "Criollo", "Forastero" and "Trinitario" have been determined. Rigidity (stiffness) of the pod was obtained from the force-deformation curve. There is a strongest correlation between the pod rigidity and the rupture force.

Published in	International Journal of Mechanical Engineering and Applications (Volume 4, Issue 5)
DOI	10.11648/j.ijmea.20160405.13
Page(s)	182-188
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Modeling, Rupture Force, Hertz Theory, Cocoa Pods, Stiffness Modulus, Force-Deformation Curve

References

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APA Style

Josué Dzudié Fonsso, Wolfgang Nzié, Guy Edgar Ntamack, Bienvenu Kenmeugné. (2016). Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod. International Journal of Mechanical Engineering and Applications, 4(5), 182-188. https://doi.org/10.11648/j.ijmea.20160405.13

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ACS Style

Josué Dzudié Fonsso; Wolfgang Nzié; Guy Edgar Ntamack; Bienvenu Kenmeugné. Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod. Int. J. Mech. Eng. Appl. 2016, 4(5), 182-188. doi: 10.11648/j.ijmea.20160405.13

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AMA Style

Josué Dzudié Fonsso, Wolfgang Nzié, Guy Edgar Ntamack, Bienvenu Kenmeugné. Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod. Int J Mech Eng Appl. 2016;4(5):182-188. doi: 10.11648/j.ijmea.20160405.13

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@article{10.11648/j.ijmea.20160405.13,
  author = {Josué Dzudié Fonsso and Wolfgang Nzié and Guy Edgar Ntamack and Bienvenu Kenmeugné},
  title = {Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {4},
  number = {5},
  pages = {182-188},
  doi = {10.11648/j.ijmea.20160405.13},
  url = {https://doi.org/10.11648/j.ijmea.20160405.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20160405.13},
  abstract = {Cocoa seeds damage is a major problem facing cocoa farmers during breaking process. Hertz's theory on the contact forces was used for prediction of the rupture force just required to break a cocoa pod under compressive load along its lateral axis. Different varieties of cocoa pods were first subjected to compressive forces. Then they were placed on a test bench and subjected to the impact forces of steel mass dropped at different heights. The objective of this study is to improve the productivity of cacao pods breaker predicting the necessary rupture force. The model of the rupture force obtained from Hertz's theory performed good results compared with experimental values measured in the process of breaking the pods. The average ruptures forces of the cacao pods varieties "Criollo", "Forastero" and "Trinitario" have been determined. Rigidity (stiffness) of the pod was obtained from the force-deformation curve. There is a strongest correlation between the pod rigidity and the rupture force.},
 year = {2016}
}

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TY - JOUR
T1 - Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod
AU - Josué Dzudié Fonsso
AU - Wolfgang Nzié
AU - Guy Edgar Ntamack
AU - Bienvenu Kenmeugné
Y1 - 2016/09/21
PY - 2016
N1 - https://doi.org/10.11648/j.ijmea.20160405.13
DO - 10.11648/j.ijmea.20160405.13
T2 - International Journal of Mechanical Engineering and Applications
JF - International Journal of Mechanical Engineering and Applications
JO - International Journal of Mechanical Engineering and Applications
SP - 182
EP - 188
PB - Science Publishing Group
SN - 2330-0248
UR - https://doi.org/10.11648/j.ijmea.20160405.13
AB - Cocoa seeds damage is a major problem facing cocoa farmers during breaking process. Hertz's theory on the contact forces was used for prediction of the rupture force just required to break a cocoa pod under compressive load along its lateral axis. Different varieties of cocoa pods were first subjected to compressive forces. Then they were placed on a test bench and subjected to the impact forces of steel mass dropped at different heights. The objective of this study is to improve the productivity of cacao pods breaker predicting the necessary rupture force. The model of the rupture force obtained from Hertz's theory performed good results compared with experimental values measured in the process of breaking the pods. The average ruptures forces of the cacao pods varieties "Criollo", "Forastero" and "Trinitario" have been determined. Rigidity (stiffness) of the pod was obtained from the force-deformation curve. There is a strongest correlation between the pod rigidity and the rupture force.
VL - 4
IS - 5
ER -

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Author Information

Josué Dzudié Fonsso

Department of Mechanical Engineering, National School of Agro-industrial Sciences, University of Ngaoundere, Ngaoundere, Cameroon
Wolfgang Nzié

Department of Mechanical Engineering, National School of Agro-industrial Sciences, University of Ngaoundere, Ngaoundere, Cameroon
Guy Edgar Ntamack

Department of Physics, Faculty of Sciences, University of Ngaoundere, Ngaoundere, Cameroon
Bienvenu Kenmeugné

Mechanical and Material Laboratory, HTTTC Kumba, University of Buea, Kumba, Cameroon

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Plain Text BibTeX RIS

APA Style

Josué Dzudié Fonsso, Wolfgang Nzié, Guy Edgar Ntamack, Bienvenu Kenmeugné. (2016). Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod. International Journal of Mechanical Engineering and Applications, 4(5), 182-188. https://doi.org/10.11648/j.ijmea.20160405.13

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ACS Style

Josué Dzudié Fonsso; Wolfgang Nzié; Guy Edgar Ntamack; Bienvenu Kenmeugné. Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod. Int. J. Mech. Eng. Appl. 2016, 4(5), 182-188. doi: 10.11648/j.ijmea.20160405.13

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AMA Style

Josué Dzudié Fonsso, Wolfgang Nzié, Guy Edgar Ntamack, Bienvenu Kenmeugné. Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod. Int J Mech Eng Appl. 2016;4(5):182-188. doi: 10.11648/j.ijmea.20160405.13

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@article{10.11648/j.ijmea.20160405.13,
  author = {Josué Dzudié Fonsso and Wolfgang Nzié and Guy Edgar Ntamack and Bienvenu Kenmeugné},
  title = {Hertz Theory Application in Modeling and Analysis of Mechanical Rupture Force of Cocoa Pod},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {4},
  number = {5},
  pages = {182-188},
  doi = {10.11648/j.ijmea.20160405.13},
  url = {https://doi.org/10.11648/j.ijmea.20160405.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20160405.13},
  abstract = {Cocoa seeds damage is a major problem facing cocoa farmers during breaking process. Hertz's theory on the contact forces was used for prediction of the rupture force just required to break a cocoa pod under compressive load along its lateral axis. Different varieties of cocoa pods were first subjected to compressive forces. Then they were placed on a test bench and subjected to the impact forces of steel mass dropped at different heights. The objective of this study is to improve the productivity of cacao pods breaker predicting the necessary rupture force. The model of the rupture force obtained from Hertz's theory performed good results compared with experimental values measured in the process of breaking the pods. The average ruptures forces of the cacao pods varieties "Criollo", "Forastero" and "Trinitario" have been determined. Rigidity (stiffness) of the pod was obtained from the force-deformation curve. There is a strongest correlation between the pod rigidity and the rupture force.},
 year = {2016}
}

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