Non-Linear Fem-Based Shattering Simulation of Shelled Edible Agricultural Products: Walnut Shattering by Nut Cracker Hand Tool



Volume 3, Issue 2
H. KURSAT CELIK, GOKHAN KUNT, ALLAN E. W. RENNIE, IBRAHIM AKINCI

Published online: 15 April 2017
Article Views: 40

Abstract

This paper presents a case study for non-linear Finite Element Method (FEM) based shattering simulation of shelled edible agricultural products. Walnut shell shattering using a simple nutcracker hand tool was considered in this case study. Some engineering properties were determined through physical compression tests to describe material models used in the FEM-based engineering simulation. Subsequently, a reverse engineering approach was employed in the solid modeling stage. The Walnut shell shattering case using a simple nutcracker hand tool was simulated considering non-linearity (explicit dynamics approach). Visual print-outs from simulation results revealed the shattering behavior of the walnut under defined boundary conditions. In addition to useful simulation print-outs of the shattering case, the time-dependent deformation behavior of the walnut during shattering was represented through charts. This work contributes to further research into the usage of non-linear numerical method-based deformation simulation studies for shelled edible agricultural products.

Reference

  1. S. M. T. Gharibzahedi, S. M. Mousavi, M. Hamedi and F. Khodaiyan, “Engineering characterization of Persian walnut and its kernel (Juglans regia L.) for obtaining high quality produce,” Quality Assurance and Safety of Crops & Foods, vol. 5, no. 2, pp. 145-156, 2013. https://doi.org/10.3920/QAS2011.0110
  2. I. Das, N. G. Shah and G. Kumar, “Properties of walnut influenced by short time microwave treatment for disinfestation of insect infestation,” Journal of Stored Products Research, vol. 59, pp. 152-157, 2014. https://doi.org/10.1016/j.jspr.2014.07.005
  3. W. M. Cardenas and R. L. Stroshine, “Melon material properties and finite element analysis of melon compression with application to robot gripping,” Transactions of the ASAE, vol. 34, no. 3, pp. 920 929, 1991.
  4. H. Chen and J. De Baerdemaeker, “Modal analysis of the dynamic behavior of pineapples and its relation to fruit firmness,” Transactions of the ASAE, vol. 36, pp. 1439-1444, 1993. https://doi.org/10.13031/2013.28483
  5. H. Chen and I. De Baerdemaeker, “Finite-element-based modal analysis of fruit firmness,” Transactions of the ASAEAmerican Society of Agricultural Engineers, vol. 36, no. 6, pp. 1827-1834, 1993. https://doi.org/10.13031/2013.28529
  6. H. Chen, J. De Baerdemaeker and V. Bellon, “Finite element study of the melon for nondestructive sensing of firmness,” Transactions of the ASAE-American Society of Agricultural Engineers, vol. 39, no. 3, pp. 1057-1058, 1996. https://doi.org/10.13031/2013.27596
  7.  R. Lu and J. A. Abbott, “Finite element modeling of transient responses of apples to impulse excitation,” Transactions of the ASAEvol. 40, no. 5, pp. 1395-1406, 1997. https://doi.org/10.13031/2013.21366
  8. L. F. Hernandez and P. M. Belles, “A 3-D finite element analysis of the sunflower (Helianthus Annuus L.) fruit. Biomechanical approach for the improvement of its hullability,” Journal of Food Engineering, vol. 78, no. 3, pp. 861-869, 2007. https://doi.org/10.1016/j.jfoodeng.2005.12.003
  9.  O. Kabas, H. K. Celik, A. Ozmerzi and I. Akinci, “Drop test simulation of a sample tomato with finite element method,” Journal of the Science of Food and Agriculture, vol. 88, no. 9, pp. 1537-1541, 2008. https://doi.org/10.1002/jsfa.3246
  10.  H. K. Celik, O. Kabas, M. Topakci, A. Ozmerzi and I. Akinci, “Deformation behaviour simulation of a sample apple under the impact effect with finite elements method,” in International Congress on Mechanization and Energy in AgricultureAntalya, Turkey, pp. 893-897, Oct. 14-17, 2008. PMCid:PMC4637923
  11. A. Fabbri, C. Cevoli, E. Cocci and P. Rocculi, “Determination of the CO2 mass diffusivity of egg components by finite element model inversion,” Food Research International, vol. 44, no. 1, pp. 204-208, 2011. https://doi.org/10.1016/j.foodres.2010.10.035
  12.  H. Xu, S. Yan, Y. Wang and M. Liu, “Study on the walnut mechanical characteristics and shucking technology based on finite element analysis,” in International Conference on Computer and Computing Technologies in Agriculture, Beijing, China, pp. 577-586, Oct. 29-31, 2011. https://doi.org/10.1007/978-3-642-27278-3_59
  13. C. C. Ihueze, C. E. Okafor and P. O. Ogbobe, “Finite design for critical stresses of compressed biomaterials under transportation,” in Proceedings of the World Congress on Engineering, London, UK, July 3-5, 2013. https://doi.org/10.2139/ssrn.2927436
  14.  M. Petrua, O. Novakb, D. Herakc and S. Simanjuntakd, “Finite element method model of the mechanical behaviour of Jatropha Curcas L. seed under compression loading,” Biosystems Engineering, vol. 111, no. 4, pp. 412-421, 2012. https://doi.org/10.1016/j.biosystemseng.2012.01.008
  15. H. A. Tinoco, D. A. Ocampo, F. M. Pena and J. R. Sanz-Uribe, “Finite element modal analysis of the fruit-peduncle of Coffea arabica L. var. Colombia estimating its geometrical and mechanical properties,” Computers and Electronics in Agriculture, vol. 108, pp. 17-27, 2014. https://doi.org/10.1016/j.compag.2014.06.011
  16. S. Guessasma and H. Nouri, “Compression behaviour of bread crumb up to densification investigated using X-ray tomography and finite element computation,” Food Research International, vol. 72, pp. 140-148, 2015. https://doi.org/10.1016/j.foodres.2015.03.038
  17. A. Fabbri and C. Cevoli, “Rheological parameters estimation of non-Newtonian food fluids by finite elements model inversion,” Journal of Food Engineering, vol. 169, pp. 172-178, 2016. https://doi.org/10.1016/j.jfoodeng.2015.08.035
  18. G. Sitkei, Mechanics of Agricultural Materials. New York, NY: Elsevier, 1987. PMid:3614920
  19. H. K. Celik, A. E. Rennie and I. Akinci, “Deformation behaviour simulation of an apple under drop case by finite element method,” Journal of Food Engineering, vol. 104, no. 2, pp. 293-298, 2011. https://doi.org/10.1016/j.jfoodeng.2010.12.020
  20.  Solid Works Documentation. (2010). Solid works simulation premium: Nonlinear [Online]. Available: https://goo.gl/Xo8mXe
  21. N. Wakabayashi, M. Ona, T. Suzuki and Y. Igarashi, “Nonlinear finite element analyses: Advances and challenges in dental applications,” Journal of Dentistry, vol. 36, no. 7, pp. 463-471, 2008. https://doi.org/10.1016/j.jdent.2008.03.010   PMid:18455859
  22. H. H. Lee, Finite Element Simulations with ANSYS Workbench 16. Mission, KS: SDC Publications, 2015.
  23. S. R. Wu and L. Gu, Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics. Hoboken, NJ: John Wiley & Sons, 2012. https://doi.org/10.1002/9781118382011
  24. ANSYS Documentation. (2015). Explicit dynamics analysis [Online]. Available: https://goo.gl/6HoR5n
  25. L. Shelef and N. N. Mohsenin, “Evaluation of the modulus of elasticity of wheat grain,” Cereal Chem, vol. 44, no. 4, pp. 392-402, 1967.
  26. N. N. Mohsenin, Physical Properties of Plant and Animal Materials. New York, Ny: Gordon and Breach, 1986.
  27. J. Blahovec, “Mechanical properties of some plant materials,” Journal of Materials Science, vol. 23, no. 10, pp. 3588-3593, 1988. https://doi.org/10.1007/BF00540499
  28. J. Blahovec, “Strength and elasticity of some plant materials,” in International Conference Physical Properties of Agricultural Materials and their Influence on Technological Processes, Rostock, Germany, pp. 60-66, Sept. 4-6, 1989.
  29. R. L. Stroshine, Physical Properties of Agricultural Materials and Food Products. West Lafayette, IN: Purdue University Press, 2004.
  30. C. C. Ihueze and C. E. Mgbemena, “Design for limit stresses of orange fruits (Citrus sinensis) under axial and radial compression as related to transportation and storage design,” Journal of the Saudi Society of Agricultural Sciences, vol. 16, no. 1, pp. 72-81, 2015. https://doi.org/10.1016/j.jssas.2015.02.005
  31. P. C. Pandey. (n.d.). Continuum damage mechanics: Review of plasticity concepts, NPTEL-Civil engineering lecture notes, Module 4 [Online]. Available: https://goo.gl/fK6RxX
  32. E. E. Finney, “The viscoelastic behaviour of the potatoe, Solanum tuberosum, under quasi-static loading,” Ph.D. thesis, Michigan State University, East Lansing, MI, 1963.
  33.  C. H. Wang and Y. W. Mai, “Deformation and fracture of Macadamia nuts,” International Journal of Fracture, vol. 69, no. 1, pp. 67-85, 1994. https://doi.org/10.1007/BF00032189
  34.  E. Cakir, F. Alayunt and K. Ozden, “A study on the determination of Poisson’s ratio and modulus of elasticity of some onion varieties,” Asian Journal of Plant Sciences, vol. 1, no. 4, pp. 376-378, 2002. https://doi.org/10.3923/ajps.2002.376.378
  35. M. Grotte, F. Duprat, E. Pietri and D. Loonis, “Young’s modulus, Poisson’s ratio, and Lame’s coefficients of golden delicious apple,” International Journal of Food Properties, vol. 5, no. 2, pp. 333-349, 2002. https://doi.org/10.1081/JFP-120005789
  36. W. Burubai, E. Amula, R. M. Davies, G. W. W. Etekpe and S. P. Daworiye, “Determination of Poisson’s ratio and elastic modulus of African nutmeg (Monodora myristica),” International Agrophysics, vol. 22, no. 2, pp. 99-102, 2008.
  37. N. D. Patel, I. Grosse, D. Sweeney, D. S. Strait, P. W. Lucas, B. Wright and L. R. Godfrey, “An efficient method for predicting fracture of hard food source,” in ASME International Mechanical Engineering Congress and Exposition, Boston, MA, pp. 521-528, Oct. 31-Nov. 6, 2008. https://doi.org/10.1115/imece2008-67675
  38. J. M. Boac, M. E. Casada, R. G. Maghirang and J. P. Harner III, “Material and interaction properties of selected grains and oilseeds for modeling discrete particles,” Transactions of the ASABE, vol. 53, no. 4, pp. 1201-1216, 2010. https://doi.org/10.13031/2013.32577
  39. R. Khodabakhshian and B. Emadi, “Determination of the modulus of elasticity in agricultural seeds on the basis of elasticity theory,” Middle-East Journal of Scientific Research, vol. 7, no. 3, pp. 367-373, 2011.
  40. M. K. D. Kiani, H. Maghsoudi and S. Minaei, “Determination of Poisson’s ratio and Young’s modulus of red bean grains,” Journal of Food Process Engineering, vol. 34, pp. 1573-1583, 2011. https://doi.org/10.1111/j.1745-4530.2009.00391.x
  41. R. Khodabakhshian, “Poisson’s ratio of pumpkin seeds and their kernels as a function of variety, size, moisture content and loading rate,” Agricultural Engineering International: CIGR Journal, vol. 14, no. 3, pp. 203-209, 2012.
  42. G. Ipate, L. G. Ciulica and F. Rus, “Numerical modeling and simulation of cutting vegetable products,” INMATEHAgricultural Engineering, vol. 41, no. 3, pp. 5-10, 2013.

To Cite this article

H. K. Celik, G. Kunt, A. E. W. Rennie and I. Akinci, “Non-linear fem-based shattering simulation of shelled edible agricultural products: Walnut shattering by nut cracker hand tool,” International Journal of Technology and Engineering Studies, vol. 3, no. 2, pp. 84-92, 2017.