Constitutive Models Used in Modeling Mechanical Response of Agricultural Soils

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Published: Jun 29, 2019
Keywords:
simulation, mechanical answer, finite elements

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Alain Ariel de la Rosa-Andino
Universidad de Granma

Abstract

Given the importance of knowing the mechanical response of the soil as one of the variables to be taken into account in the design of implements and machines capable of preserving the physical qualities of the soil, several constitutive models have been developed that represent the soil as a non-linear material elastic or elastoplastic. The objective of this paper was to analyze the current state of the constitutive models used in the modeling of agricultural soils in order to define which of them is the most adequate to simulate the mechanical response of agricultural soils with clay texture (Oxisol, Inceptisol and Vertisol). Constitutive models that are used in the simulation of the mechanical response of agricultural soils by means of the finite element method are analyzed critically, taking into account the properties and parameters of input, determination of these and their implementation in the softwares for simulation using the finite element method. Finally, it is concluded that the Drucker Prager Extended model as the most adequate to simulate the mechanical response of an Oxisol, prioritizing in this decision its simplicity, convenience when determining its parameters, accuracy in estimating the stress-strain relationship of the soil , and inclusion in most commercial software.

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How to Cite
de la Rosa-Andino, A. A. (2019). Constitutive Models Used in Modeling Mechanical Response of Agricultural Soils. Revista Ciencias Técnicas Agropecuarias, 28(3). Retrieved from https://revistas.unah.edu.cu/index.php/rcta/article/view/1135
Issue
Vol. 28 No. 3 (2019): July-August-September
Section
Review

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Author Biography

Alain Ariel de la Rosa-Andino, Universidad de Granma

Facultad de Ciencias Técnicas

References

REFERENCES

ABBO, A. J.; A. V. LYAMIN; S. W. SLOAN y A. HAMBLETON: "A C2 continuos approximation to the Mohr-Coulomb yield surface", International Journal of Solids and Structures, 48: 3001-3009, 2011, ISSN: 0020-7683.

ARMIN, A.; R. FOTOUHI y W. SZYSZKOWSKI: "On the FE modeling of soil–blade interaction in tillage operations", Finite Elements in Analysis and Design, 92(0): 1-11, 2014, ISSN: 0168-874X

BAILEY, A. C. y C. E. JOHNSON: "A soil compaction model for cylindrical stress states.", Transaction of ASAE, 32(3): 822-825, 1989, ISSN: 2151-0032, e-ISSN: 2151-0040.

BAILEY, A. C.; C. E. JOHNSON y R. L. SCHAFER: "Hydrostatic compaction of agricultural soils", TRANSACTIONS of the ASAE, 27(4): 952-955, 1984, ISSN: 2151-0032, e-ISSN: 2151-0040.

BHAVESHKUMAR, P. P. y J. M. PRAJAPATI: "Soil-tool interaction as a review for digging operation of mini hydraulic excavator", International Journal of Environmental Science and Technology, 3(2): 894-901, 2011, ISSN: 1735-1472.

BIRIS, S. S.; V. VLADUT; N. UNGUREANU; G. PARASCHIV y G. VOICU: "Development and experimental testing of a FEM model for the stress distribution analysis in agricultural soil due to artificial compaction", Agriculturae Conspectus Scientificus, 74(1): 21-29, 2009.

BISHOP, A. W.: "The strength of soils as engineering materials", Geotechnique, 16(2): 91–130, 1966, ISSN: 0016-8505.

CAMACHO, O. S. y C. A. M. RAMOS: "Failure potential index for slopes conditioned by landforms", Boletín de Ciencias de la Tierra, (40): 39-45, 2016.

CONSOLI, N. C.; D. SILVA; B. S. CONSOLI y L. FESTUGATO: "Mohr-Coulomb failure envelopes of limed treated soils.", Geotechnique, 64(2): 165-170, 2014.

COULOMB, C. A.: "Essai ser une application des regles des maximes et minimis a quelquels problemes destatique relatifs, a la architecture", Mem. Acad. Roy. Div., 7(1): 343-387, 1776.

CHANG, L. y H. KONIETZKY: "Application of the Mohr-Coulomb Yield Criterion for Rocks with Multiple Joint Sets Using Fast Lagrangian Analysis of Continua 2D (FLAC2D) Software", Energies, 11(3): 614, 2018, ISSN: 1996-1073.

CHI, L.: "Finite element analysis of soil forces on two tillage tools", Canadian Agric. Eng., 33(1): 39-45, 1990.

CHI, L.: "Modeling mechanical behavior of agricultural soils", Transactions of the ASAE, 36(6): 1563-1570, 1993, ISSN: 2151-0032, e-ISSN: 2151-0040.

CHI, L. y R. L. KUSHAWAHA: Study of mechanical properties of agricultural soil for non-linear F.E. model. En: International Winter Meeting of the American Society of Agricultural Engineers, December 13-16, pp., Hyatt Regency Chicago in Illinois Center. ASAE Paper: 88-1610, 1988, ISSN: 1682-1130.

CHI, L. y R. L. KUSHAWAHA: "Finite element analysis of forces on a plane soil blade", Canadian Agricultural Engineering, 31(1): 135-140, 1989.

CHI, L. y R. L. KUSHAWAHA: "Three dimensional finite element interactions between soil and a simple tillage tool", Transactions of the ASAE, 34(2): 3623-3626, 1991, ISSN: 2151-0032, e-ISSN: 2151-0040.

CHI, L.; R. L. KUSHAWAHA y J. SHEN: "An elastoplastic constitutive model for agricultural cohesive soil", Canadian Agricultural Engineering, 35(4): 245-251, 1993.

CHIORESCU, D.; E. CHIORESCU y O. DODUN: Numerical simulation with the finite element using the contact between the soil and the actively workingbody. Memorias de MAT EC Web of Conferences, 2017, pp. 2017.

DE LA ROSA, A. A. A.; S. M. HERRERA; C. O. GONZÁLEZ; L. L. V. BENÍTEZ; P. I. CALZADA y P. L. GARCÍA: "Evaluación de la validez del modelo constitutivo Drucker Prager Extentido para la simulación de la respuesta mecánica de un Vertisol de la región central de Cuba", Revista Ciencias Técnicas Agropecuarias, 22(1): 27-35, 2013, ISSN: 1010-2760, e-ISSN: 2071-0054.

DRUCKER, D. C. y W. PRAGER: "Soil mechanics and plastic analysis or limit designs", Q. Appl. Math, 10: 157-165, 1952.

DUNCAN, J. M.: "Hyperbolic stress-strain relationships", In Proc. of the Worshop on Limit Equilibrium, plasticity and Generalizated Stress-Strain in Geotechinical Engineering. New York:ASCE: 443-460, 1980.

DUNCAN, J. M. y C. Y. CHAN: "Non linear analysis of stress and strain in soil", J. of Soil Mech. and Foundations. Division: American society of Civil Engineers, 96(SN): 1629-1653, 1970.

FONSECA, A. V.; S. A. E. SOUSA y A. S. CARDOSO: Finite element analyses of a shallow foundation on a residual soil from granite using Lade's model. Memorias de 3rd International Workshop on Applications of Computational Mechanics in Geotechnical Engineering, 1998, pp. 69-77, OPORTO, PORTUGAL. APPLICATIONS OF COMPUTATIONAL MECHANICS IN GEOTECHNICAL ENGINEERING 1998.

GONZÁLEZ, C. O.: Modelación de la compactación provocada por el tráfico de neumáticos, de los vehículos agríclolas, en suelos en condiciones de laboratorio. Tesis presentada en opción al grado cientifíco de Doctor en Ciencias Técnicas Agropecuarias, 123pp., Doctor en Ciencias, Centro de Mecanización Agropecuaria, Universidad Agraria de La Hababa "Fructuoso Rodríguez", La Habana, 2011.

GONZÁLEZ, C. O.; S. M. HERRERA; C. C. IGLESIAS y B. E. LÓPEZ: "Análsis de los modelos constitutivos empleados para simular la compatación del suelo mediante el método de elementos finitos", Revista Ciencias Técnicas Agropecuarias, 22(3): 75-80, 2013a, ISSN: 1010-2760, e-ISSN: 2071-0054.

GONZÁLEZ, C. O.; S. M. HERRERA; C. C. E. IGLESIAS; N. F. DIEGO; S. G. URRIOLAGOITIA y G. L. H. HERNÁNDEZ: "Modelo en elementos finitos de la interacción neumático-suelo", Revista Mexicana de Ciencias Agrícolas, (4): 664-671, 2012, ISSN: 2007-0934.

GONZALEZ, C. O.; S. M. HERRERA; C. C. E. IGLESIAS y B. E. LÓPEZ: "Modelos contitutivos Drucker Prager Extendido y drucker Prager Modificado para suelos Rhodic Ferrasol", Terra Latinoamericana, 32(4): 283-290, 2014, ISSN: 0187-5779.

GONZÁLEZ, C. O.; C. C. E. IGLESIAS; M. C. A. RECAREY; S. G. URRIOLAGOITIA; G. L. H. HERNÁNDEZ; C. G. URRIOLAGOITIA y S. M. HERRERA: "Three dimensional finite element model of soil compaction caused by agricultural tire traffic", Computers and Electronics in Agriculture, 99(1): 146-152, 2013b, ISSN: 0168-1699.

GRUJICIC, M.; T. HE; B. PANDURANGAN; W. C. BELL; B. A. CHEESEMAN; W. N. ROY y R. R. SKAGGS: "Development, parameterization, and validation of a visco-plastic material model for sand with different levels of water saturation", Proc. I Mech. E., 223, Part L: Journal of Materials: Design and Applications: 63-81, 2009.

HAMLAOUI, M.; A. OUESLATI; B. LAMRI y G. DE SAXCE: "Finite element analysis of the plastic limit load and the collapse mechanism of strip foundations with non-associated Drucker-Prager model", European Journal of Environmental and Civil Engineering, 19(10): 1179-1201, 2015, ISSN: 1964-8189.

HAMMI, Y.; T. W. STONE; B. PALIWAL; M. F. HORSTEMEYER y P. G. ALLISON: "Smooth yield surface constitutive modeling for granular materials", Journal of Engineering Materials and Technology, 139(1): 2017, ISSN: 0094-4289.

HERRERA, S. M.: Simulación del comportamiento mecánico de los suelos ferralíticos rojos mediante el método de elementos finitos, 109pp., Tesis (en opción al grado científico de Doctor en Técnicas Agropecuarias), Departamento de Mecanización Agrícola, Universidad Agraria de La Habana, La Habana, Cuba, 2006.

HERRERA, S. M.; C. O. GONZÁLEZ; N. F. DIEGO; V. J. RUIZ y C. C. E. IGLESIAS: "Simulación de la respuesta mecánica del suelo en la interfase suelo-herramienta de labranza", Rev. Fac. Ing. Univ. Antoquía, (69): 79-88, 2013.

HERRERA, S. M.; C. O. GONZÁLEZ; C. C. E. IGLESIAS; A. A. A. DE LA ROSA y R. MADRUGA: "Estudio de la exactitud de un modelo hiperbólico de Duncan y Chan en la predición de la realación esfuerzo deformación de tres suelos arcillosos cubanos.", Revista Ciencias Técnicas Agropecuarias, 19(4): 24-29, 2010, ISSN: 1010-2760, e-ISSN: 2071-0054.

HERRERA, S. M.; C. E. IGLESIAS; C. O. GONZÁLEZ; B. E. LÓPEZ y I. A. L. SÁNCHEZ: "Simulación mediante el Método de Elementos Finitos de la respuesta mecánica de un Oxisol", Revista Ciencias Técnicas Agropecuarias, 16(4): 55-61, 2008, ISSN: 1010-2760, e-ISSN: 2071-0054.

HIBBIT, K.: Abaqus Analysis User´s, Volume III, Materials.: Hibbitt, Karlsson, and Sorensen, Inc, Pawtucket, Rhode Island, pp. 180. 2008a.

HIBBIT, K.: Abaqus Theory. Hibbitt, Karlsson, and Sorensen, Inc, Pawtucket, Rhode Island, pp. 1176. 2008b.

HONG-CAI, W.; Z. WEI-HUA; S. DONG-SHENG y G. BIN-BIN: "Mohr-Colulomb yield criterion in rock plastic mechanics", Chinese Journal of Geophysics, 55(6): 733-741, 2012.

IBRAHMI, A.; H. BENTAHER; M. HBAIEB; A. MAALEJ y A. M. MOUAZEN: "Study the effect of tool geometry and operational conditions on mouldboard plough forces and energy requirement: Part 1. Finite element simulation", Computers and Electronics in Agriculture, XXX: 2015, ISSN: 0168-1699.

JOHNSON, C. E. y A. C. BAILEY: "A shearing strain model for cylindrical stress states.", ASAE, (90): 1990, ISSN: 1682-1130.

KONDNER, R. L. y J. S. ZELASKO: "A hyperbolic stress-strain response: Cohesive soil", Division: American society of Civil Engineers, J. of Soil Mech. and Foundations, 89(1): 115-143, 1963.

KUSHAWAHA, R. L. y J. SHEN: "Finite element analysis of the dynamic interaction between soil and tillage tool", TRANSACTIONS of the ASAE, 37(5): 1315-1319, 1995, ISSN: 2151-0032, e-ISSN: 2151-0040

LABUZ, J. y A. ZANG: "Mohr Colulomb criterion failure", Rock Mechanics and Rock Engineering, 45(6): 975-979, 2012.

LADE, P. V.: "Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces", Int. J. solids and Structure, 13(1): 1019-1035, 1977.

LADE, P. V. y S. BOONYACHUT: Large stress reversals in triaxial tests on sand. En: Fourth International Conference on Numerical Methods in Geomechanics, pp. 10, Canada, May 31 to June 4. 1982.

LADE, P. V. y R. B. NELSON: "Incrementalization procedure for elasto-plastic constitutive model with multiple intersecting yield surface.", Int. J. for Num. And Anal. Meth. in Geomechanics, 8(1): 311-323, 1984.

LI, Y.; Y. WANG; Y. WANG y C. MA: "Effects of root spatial distribution on the elastic-plastic properties of soil-root blocks", Scientific Reports, 7(1): 800, 2017.

MENDOZA, C.; M. FARIAS y R. P DA CUNHA: "Validación de modelos constitutivos avanzados de comportamiento mecánico para la arcilla estructurada de Brasilia . 52-70. 10.4067/S0718-28132014000100005. ", Obras y proyectos, (0718-2813): 52-70, 2014.

MOLNAR, I. A.: "Finite element method study on stress state in soil induced by agricultural traffic", Bulletin of University of Agricultural Sciences and Veterinary Medicine Cluj-Napoca. Agriculture, 73(2): 275-279, 2016.

MOSLEM, N. y G. HOSSEIN: "Numerical simulation of tire/soil interaction using a verified 3D finite element model", Journal of Central South University, 21(2): 817-821, 2014.

MOUAZEN, A. M. y M. NEMÉNYI: "Finite elements analysis of subsoiler cutting in non homogeneous sandy loam soil", Journal Soil & Tillage Research, 39(3): 115-126, 1999a.

MOUAZEN, A. M. y M. NEMÉNYI: "Tillage tool design by the finite element method: Part 1. Finite element modelling of soil plastic behaviour", Journal of Agricultural Engineering Research, 72(1): 37-51, 1999b.

MOUAZEN, A. M.; M. NEMÉNYI; H. SCHWANGHART y M. REMPFER: "Tillage tool design by the finite element method: Part 2. Experimental validation of the finite element results with soil bin test", Journal of Agricultural Engineering Research, 72(1): 53-58, 1999.

MUNDA, J.; P. K. PRADHAN y A. K. NAYAK: "Review on the performance of Modified Cam Clay Model for fine grained soil", Journal of Civil Engineering and Environmental Technology, 1(5): 65-71, 2014.

NANKALI, N.; M. NAMJOO y M. R. MALEKI: "Stress Analysis of Tractor Tire Interacting with Soil using 2D Finite Element Method", International Journal of Advanced Design and Manufacturing Technology, 5(3): 107-111, 2012.

NASIRI, M.; M. SOLTANI y A. M. MOTLAGH: "Determination of agricultural soil compaction affected by tractor passing using 3D finite element", Agric Eng Int: CIGR Journal, 15(3): 11-16, 2013.

NIETO, L. A.; T. J. CAMACHO y B. E. RUIZ: "Determinación de parámetros para los modelos elastoplásticos Mohr-Coulomb y Hardening Soil en suelos arcillosos", Revista Ingeniería Universidad de Medellín, 8(15): 75-91, 2009.

PLOUFFE, C.; C. LAGUË; S. TESSIER; M. J. RICHARD y N. B. MCLAUGHLIN: "Moldbordplow performance in a clay soil: simulations and experiment", Transactions of the ASAE. American Society of Agricultural Engineers, 42(6): 1531-1539, 1999.

POODT, M. P.; A. J. KOOLEN y J. P. VAN DER LIDEN: "FEM analysis of subsoil reaction on heavy wheel loads with emphasis on sol precosolidation stress and cohesión", Soil & Tillage Research, 73(1): 67-76, 2003.

RASHIDI, M. y M. GHOLAMI: "Non-linear modeling of soil sinkage by multiple loadings the finite element method", Journal of Agricultural and Biolical Science, 6(3): 74-80, 2011.

ROSA, U. A. y D. WULFSOHN: "Constitutive model for high speed tillage using narrow tools", Journal of Terramechanics, 36(4): 221-234, 1999.

ROSCOE, K. H. y J. B. BURLAND: On the generalized stress-strain behavior of wet clay. In: Engineering Plasticity. En: Leckie, J. H. a. F. (ed.). Cambridge, England, pp. 535-609, 1968.

ROSCOE, K. H.; A. N. SCHOFIELD y C. P. WROTH: "On the yielding of soils", Geomechnique, 8(1): 22-53, 1958.

SEKHAVATIAN, A. y C. A. JANALIZADEH: "Comparison of constitutive soil models in predicting movements caused by an underground excavation", International Journal of Soil Science, 13(1): 2018.

SHEN, J. y R. L. KUSHAWAHA (eds.) 1998. Soil-Machine interactions: A finite element perspective., New York: Marcel Dekker, Inc.

SHIN, H.; J.-B. KIM; S.-J. KIM y K. RHEE: "A simulation-based determination of cap parameters of the modified Drucker–Prager cap model by considering specimen barreling during conventional triaxial testing", Computational Materials Science, 100, Part A: 31-38, 2015.

TEKESTE, M. Z.; D. H. HABTZGHI y A. J. JOS KOOLEN: "Cap-hardening parameters of Cam-clay model variations with soil moisture content and shape-restricted regression model", Agric Eng Int: CIGR Journal, 15(2): 10-24, 2013.

TIMOSHENKO, S. y J. N. GOODIER: Theory of elasticity, Ed. Mc. Graw, 3 ed, New York, 1970.

UCGUL, M.; J. M. FIELKE y C. SAUNDERS: "Three-dimensional discrete element modelling of tillage: Determination of a suitable contact model and parameters for a cohesionless soil", Biosystems Engineering, 121(0): 105-117, 2014.

WULFSOHN, D. y B. A. ADAMS: Elastoplatic soil mechanics. Advances in Soil Dynamic, St. Joseph, Michigan, 2002.

YOUNG, R. N. y A. W. HANNA: "Finite element analysis of plane soil cutting", J. Terramech., 14(3): 103-125, 1977.

ZHANG, Q.; V. M. PURI y H. B. MANBECK: "Determination of elastoplastic constitutive parameters for wear en masse", Transactions of the ASAE, 29(6): 1739-1746, 1986, ISSN: 2151-0032, e-ISSN: 2151-0040.

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