## Export to

For Marketing, Sales and Subscriptions Inquiries
Rockefeller Center, 45 Rockefeller Plaza
20th Flr Unit #5, New York, NY 10111
United States

## Conference List

Current Research in Agricultural Sciences

June 2014, Volume 1, 2, pp 42-52

## Development of a Mathematical Model for Angle of Soil Failure Plane in Case of 3-Dimenssional Cutting

,

,

### Ahmed M. El Naim

Mohammed H. Dahab 2
Ahmed M. El Naim 3

1. Department of Agric. Eng., Faculty of Natural Resources, University of Kordofan, Elobied, Sudan 1

2. Department of Agric. Eng., Faculty of Agriculture, University of Khartoum, Sudan 2

3. Department of crop Sciences, Faculty of Natural Resources, University of Kordofan, Elobied, Sudan 3

on PubMed

Pages: 42-52

1870Views

### Abstract:

The interaction between tillage tools and soil is of a primary interest to the design and use of these tools for soil manipulation. A new explicit mathematical model to calculate the angle of soil failure plane when soil is cut with narrow tine was developed. Equations of Soil cohesion and soil adhesion cutting factors were partially differentiated with respect to angle of soil external friction, were maximized; Values of angle of soil failure plane were calculated by the model for tine rake angle range from 00 to 900 operated at 0.3 m depth and 0.15 m width in soils with different mechanical properties. It was found that angle of soil failure plane is acute and its values were used for calculating soil frictional cutting factor, soil overburden cutting factor, soil cohesion cutting factor, soil adhesion cutting factor, rupture distance, width of side crescent and soil resistance force. It was found that the force values were realistic. Therefore, the model is valid.

Contribution/ Originality

### Reference:

1. R. D. Grisso and J. V. Perumpral, "Review of models for predicting performance of narrow tillage tool," Transactions of the ASAE, vol. 28, pp. 1062-1067, 1985.
2. K. Terzaghi, Theoretical soil mechanics. New York: Wiley, 1959.
3. D. R. P. Hettiaratchi and A. R. Reece, "Symmetrical three-dimensional soil failure," J. Terramech, vol. 4, pp. 45–67, 1967.
4. P. C. J. Payne, "The relationship between mechanical properties of soil and the performance of simple cultivation implements," J. Agric. Eng. Res., vol. 1, pp. 23–50, 1956.
5. E. McKyes and O. S. Ali, "The cutting of soil by narrow blades," J. Terramech, vol. 14, pp. 43–58, 1977.
6. W. C. Swick and J. V. Perumpral, "A model for predicting soil–tool interaction," J. Terramech, vol. 25, pp. 43–56, 1988.
7. D. Zeng and Y. Yao, "A dynamic model for soil cutting by blade and tine," J. Terramech, vol. 29, pp. 317–327, 1992.
8. J. Kuczewsk and E. Piotrowska, "An improved model for forces on narrow soil cutting tines," Soil Till. Res., vol. 46, pp. 231–239, 1998.
9. F. A. Kheiralla, A. Yahia, M. Zohadie, and W. Ishak, "Modelling of power and energy requirements for tillage implements operating on serdang sandy clay loam, Malaysia," Soil Till. Res., vol. 78, pp. 21–34, 2004.
10. M. Abo-Elnor, R. Hamilton, and J. T. Boyle, "Simulation of soil–blade interaction for sandy soil using advanced 3-D finite element analysis," Soil Till. Res., vol. 75, pp. 61–73, 2004.
11. E. McKyes and J. Maswaure, "Effect of design parameters of flat tillage tools on loosening of clay soil," Soil Till. Res., vol. 43, pp. 195–204, 1997.
12. S. O. Chung and K. A. Sudduth, "Soil failure models for vertically operating and horizontally operating strength sensor," Transactions of the ASABE, vol. 49, p. 851?863, 2006.
13. L. L. Kasisira and H. L. M. DuPlessis, "Width Prediction of a side circular crescent failed by a tillage tool in a sandy clay loam soil," Agricultural Engineering International: The CIGR E Journal. Manuscript PM 1334, vol. 11, pp. 1-8, 2009.
14. E. McKyes, Soil cutting and tillage. Developments in agricultural engineering 10. Agricultural engineering soil mechanics. Amsterdam: Elsevier Science Publishing Company Inc., 1989.
15. J. Zhang and R. L. Kushwaha, "A modified model to predict soil cutting resistance," Soil Till. Res., vol. 34, pp. 157–168, 1995.