Discrete element modelling of the deformation of bulk agricultural particulates

The Discrete Element Method (DEM) has been applied to numerical modelling of the bulk compression of low modulus particulates. An existing DE code for modelling the contact mechanics of high modulus particles using a linear elastic contact law was modified to incorporate non-linear viscoelastic contact, real containing walls and particle deformation. The new model was validated against experimental data from the literature and physical experiments using synthetic spherical particles, apple and rapeseed. It was then used to predict particle deformation, optimum padding thickness in a handling line and bulk compression parameters during oilseed expression. The application of DEM has previously been limited to systems of hard particles of high compressive and shear modulii with relatively low failure strain. Material interactions have therefore commonly been modelled using linear contact law. For high modulus particles, particle shape change resulting from deformation is a not a significant factor. Most agricultural particulates however deform substantially before failure and their interaction is better represented with non-linear hysteretic viscoelastic contact relationship. Deformation of geometrically shaped particles in DEM is usually treated as "virtual" deformation, which means that particles are allowed to overlap rather than deform due to contact force. Change to particle shape has not previously been possible other than in the case of particles modelled as 2-D polygons or where each particle is also modelled concurrently with an FE mesh. In this work a new approach has been developed which incorporates a non-linear deformation dependent contact damping relationship and a shape change while maintaining sufficient geometrical symmetry to allow the problem to be handled by the same DE algorithms as used for true spheres. The method was validated with available experimental results on impact behaviour of rubber and the variations with different damping coefficients were simulated for a selected fruit. A fruit handling process dependent on the impact process was then simulated to obtain data required in the design of a fruit processing line. Changes in shape of spherical synthetic rubber particles and rapeseeds under compression were predicted and validated with physical experiments. Images were taken and analysed using image processing techniques with 1: 1 scaling. The method on shape change entails a number of simplifying assumptions such as uniform stress distribution and homogeneous material properties and uniform material distribution when deformed, which

[1]  Soo-Chang Pei,et al.  Optimum approximation of digital planar curves using circular arcs , 1996, Pattern Recognit..

[2]  John R. Williams,et al.  A linear complexity intersection algorithm for discrete element simulation of arbitrary geometries , 1995 .

[3]  Y. Tsuji,et al.  Discrete particle simulation of two-dimensional fluidized bed , 1993 .

[4]  G. H. Rong,et al.  Simulation of Flow Behaviour of Bulk Solids in Bins. Part 1: Model Development and Validation , 1995 .

[5]  T. Winnicki,et al.  Effect of drying of rapeseeds on their mechanical properties and technological usability , 1994 .

[6]  V. K. Jindal,et al.  Mechanics of Impact of a Falling Fruit on a Cushioned Surface , 1978 .

[7]  E. Arzt The influence of an increasing particle coordination on the densification of spherical powders , 1982 .

[8]  Richard G. Mallon,et al.  Particle-dynamics calculations of gravity flow of inelastic, frictional spheres , 1988 .

[9]  Richard C. Fluck,et al.  Impact Testing of Fruits and Vegetables , 1973 .

[10]  G. H. Rong,et al.  Simulation of Flow Behaviour of Bulk Solids in Bins. Part 2: Shear Bands, Flow Corrective Inserts and Velocity Profiles , 1995 .

[11]  G. K. Brown,et al.  Apple Impact Bruise Prediction Models , 1988 .

[12]  Colin Thornton,et al.  Impact of elastic spheres with and without adhesion , 1991 .

[13]  J. Ting,et al.  Discrete numerical model for soil mechanics , 1989 .

[14]  Ricardo Dobry,et al.  NUMERICAL SIMULATIONS OF MONOTONIC AND CYCLIC LOADING OF GRANULAR SOIL , 1994 .

[15]  G. K. Brown,et al.  Instrumented sphere evaluation of potato packing line impacts - a progress report. , 1990 .

[16]  L. J. Segerlind,et al.  An Equation for the Modulus of Elasticity of a Radially Compressed Cylinder , 1976 .

[17]  P. A. Cundall,et al.  NUMERICAL MODELLING OF DISCONTINUA , 1992 .

[18]  Mohammad Hossein Abbaspour-Fard,et al.  Shape representation of axi‐symmetrical, non‐spherical particles in discrete element simulation using multi‐element model particles , 1999 .

[19]  J. L. Blaisdell,et al.  Impact Parameters of Spherical Viscoelastic Objects and Tomatoes , 1991 .

[20]  J. M. Rotter,et al.  Measurement of solids flow patterns in a gypsum silo , 1998 .

[21]  M. O. Faborode,et al.  Identification and Significance of the Oil-point in Seed-oil Expression , 1996 .

[22]  J. E. Holt,et al.  Prediction of Bruising in Impacted Multilayered Apple Packs , 1981 .

[23]  David Newland,et al.  Efficient computer simulation of moving granular particles , 1994 .

[24]  Michel Jean,et al.  Some Computational Aspects of Structural Dynamics Problems with Frictional Contact , 1995 .

[25]  John R. Williams,et al.  SUPERQUADRICS AND MODAL DYNAMICS FOR DISCRETE ELEMENTS IN INTERACTIVE DESIGN , 1992 .

[26]  Bachchan Singh,et al.  Compression of a bed of rapeseeds: The oil-point , 1989 .

[27]  V. A. McGlone,et al.  Mass and drop-height influence on kiwifruit firmness by impact force , 1997 .

[28]  Discrete element modelling of deformation in particulate agricultural materials under bulk compressive loading , 1998 .

[29]  M. O. Faborode,et al.  A mathematical model of cocoa pod deformation based on Hertz theory , 1994 .

[30]  D. Greenspan Discrete numerical methods in physics and engineering , 1974 .

[31]  I. J. Ross,et al.  Compressibility and Frictional Coefficients of Wheat , 1983 .

[32]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[33]  R. D. Mindlin Elastic Spheres in Contact Under Varying Oblique Forces , 1953 .

[34]  Larry J. Segerlind,et al.  A Simulation Model to Determine the Allowable Depth for Apples Stored in Bulk , 1995 .

[35]  Qiang Zhang,et al.  An Endochronic Constitutive Model for Grain En Masse , 1996 .

[36]  Ricardo Dobry,et al.  DISCRETE MODELLING OF STRESS‐STRAIN BEHAVIOUR OF GRANULAR MEDIA AT SMALL AND LARGE STRAINS , 1992 .

[37]  Margarita Ruiz-Altisent Damage mechanisms in the handling of fruits , 1991 .

[38]  J. Mehlschau,et al.  Second generation impact force response fruit firmness sorter , 1996 .

[39]  Yutaka Tsuji,et al.  Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe , 1992 .

[40]  P. Chen,et al.  PREDICTION OF APPLE BRUISING DUE TO IMPACT ON DIFFERENT SURFACES , 1991 .

[41]  G. L. Nelson,et al.  Methods and Instrumentation for Evaluating the Stress Strain Behavior of Wheat En Masse , 1972 .

[42]  Pictiaw Chen,et al.  Analytical Method for Determining Viscoelastic Constants of Agricultural Materials , 1972 .

[43]  Mahmood A. Khwaja,et al.  An ellipse-based discrete element model for granular materials , 1993 .

[44]  Mark J. Jakiela,et al.  A method to resolve ambiguities in corner-corner interactions between polygons in the context of motion simulations , 1995 .

[45]  Edward R. Dougherty,et al.  Image processing : continuous to discrete , 1987 .

[46]  Chandrakant S. Desai,et al.  Numerical Methods in Geotechnical Engineering , 1979 .

[47]  T. L. Foutz,et al.  Comparison of Loading Response of Packed Grain and Individual Kernels , 1993 .

[48]  W. J. Whiten,et al.  The calculation of contact forces between particles using spring and damping models , 1996 .

[49]  Ricardo Dobry,et al.  General model for contact law between two rough spheres , 1991 .

[50]  Richard J. Bathurst,et al.  INVESTIGATION OF MICROMECHANICAL FEATURES OF IDEALIZED GRANULAR ASSEMBLIES USING DEM , 1992 .

[51]  Qinggang Meng,et al.  Finite Element Analysis of Bulk Solids Flow: Part 2, Application to a Parametric Study , 1997 .

[52]  C. Thornton,et al.  Distinct element simulation of impact breakage of lactose agglomerates , 1997 .

[53]  Zemin Ning,et al.  Elasto-plastic impact of fine particles and fragmentation of small agglomerates , 1995 .

[54]  Marvin R Paulsen,et al.  Fracture Resistance of Soybeans to Compressive Loading , 1977 .

[55]  P. Cundall A computer model for simulating progressive, large-scale movements in blocky rock systems , 1971 .

[56]  L. E. Goodman Contact Stress Analysis of Normally Loaded Rough Spheres , 1962 .

[57]  Optimization of impact parameters for reliable excitation of apples during firmness monitoring , 1995 .

[58]  Dale S. Preece,et al.  Simulation of blasting induced rock motion using spherical element models , 1992 .

[59]  K. Walton,et al.  The oblique compression of two elastic spheres , 1978 .

[60]  Aibing Yu,et al.  Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics , 1997 .

[61]  J. Y. Ooi,et al.  Finite element analysis of wall pressure in imperfect silos , 1997 .

[62]  T. R. Rumsey,et al.  Analysis of Viscoelastic Contact Stresses in Agricultural Products Using a Finite-Element Method , 1977 .

[63]  Simon L. Goren,et al.  Application of Impact Adhesion Theory to Particle Kinetic Energy Loss Measurements , 1989 .