A Coupled Biomechanical-Smoothed Particle Hydrodynamics Model for Horse Racing Tracks

Distal limb injuries are common in racing horses and track surface properties have been associated with injury risk. To better understand how track surfaces may contribute to equine limb injury, we developed the first 3D computational model of the equine hoof interacting with a racetrack and simulat...

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Published inFrontiers in bioengineering and biotechnology Vol. 10; p. 766748
Main Authors Harrison, Simon M., Whitton, R. Chris, Stover, Susan M., Symons, Jennifer E., Cleary, Paul W.
Format Journal Article
LanguageEnglish
Published Switzerland Frontiers Media S.A 21.02.2022
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ISSN2296-4185
2296-4185
DOI10.3389/fbioe.2022.766748

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Abstract Distal limb injuries are common in racing horses and track surface properties have been associated with injury risk. To better understand how track surfaces may contribute to equine limb injury, we developed the first 3D computational model of the equine hoof interacting with a racetrack and simulated interactions with model representations of 1) a dirt surface and 2) an all-weather synthetic track. First, a computational track model using the Smoothed Particle Hydrodynamics (SPH) method with a Drucker-Prager (D-P) elastoplastic material model was developed. It was validated against analytical models and published data and then calibrated using results of a custom track testing device applied to the two racetrack types. Second, a sensitivity analysis was performed to determine which model parameters contribute most significantly to the mechanical response of the track under impact-type loading. Third, the SPH track model was coupled to a biomechanical model of the horse forelimb and applied to hoof-track impact for a horse galloping on each track surface. We found that 1) the SPH track model was well validated and it could be calibrated to accurately represent impact loading of racetrack surfaces at two angles of impact; 2) the amount of harrowing applied to the track had the largest effect on impact loading, followed by elastic modulus and cohesion; 3) the model is able to accurately simulate hoof-ground interaction and enables study of the relationship between track surface parameters and the loading on horses’ distal forelimbs.
AbstractList Distal limb injuries are common in racing horses and track surface properties have been associated with injury risk. To better understand how track surfaces may contribute to equine limb injury, we developed the first 3D computational model of the equine hoof interacting with a racetrack and simulated interactions with model representations of 1) a dirt surface and 2) an all-weather synthetic track. First, a computational track model using the Smoothed Particle Hydrodynamics (SPH) method with a Drucker-Prager (D-P) elastoplastic material model was developed. It was validated against analytical models and published data and then calibrated using results of a custom track testing device applied to the two racetrack types. Second, a sensitivity analysis was performed to determine which model parameters contribute most significantly to the mechanical response of the track under impact-type loading. Third, the SPH track model was coupled to a biomechanical model of the horse forelimb and applied to hoof-track impact for a horse galloping on each track surface. We found that 1) the SPH track model was well validated and it could be calibrated to accurately represent impact loading of racetrack surfaces at two angles of impact; 2) the amount of harrowing applied to the track had the largest effect on impact loading, followed by elastic modulus and cohesion; 3) the model is able to accurately simulate hoof-ground interaction and enables study of the relationship between track surface parameters and the loading on horses' distal forelimbs.
Distal limb injuries are common in racing horses and track surface properties have been associated with injury risk. To better understand how track surfaces may contribute to equine limb injury, we developed the first 3D computational model of the equine hoof interacting with a racetrack and simulated interactions with model representations of 1) a dirt surface and 2) an all-weather synthetic track. First, a computational track model using the Smoothed Particle Hydrodynamics (SPH) method with a Drucker-Prager (D-P) elastoplastic material model was developed. It was validated against analytical models and published data and then calibrated using results of a custom track testing device applied to the two racetrack types. Second, a sensitivity analysis was performed to determine which model parameters contribute most significantly to the mechanical response of the track under impact-type loading. Third, the SPH track model was coupled to a biomechanical model of the horse forelimb and applied to hoof-track impact for a horse galloping on each track surface. We found that 1) the SPH track model was well validated and it could be calibrated to accurately represent impact loading of racetrack surfaces at two angles of impact; 2) the amount of harrowing applied to the track had the largest effect on impact loading, followed by elastic modulus and cohesion; 3) the model is able to accurately simulate hoof-ground interaction and enables study of the relationship between track surface parameters and the loading on horses' distal forelimbs.Distal limb injuries are common in racing horses and track surface properties have been associated with injury risk. To better understand how track surfaces may contribute to equine limb injury, we developed the first 3D computational model of the equine hoof interacting with a racetrack and simulated interactions with model representations of 1) a dirt surface and 2) an all-weather synthetic track. First, a computational track model using the Smoothed Particle Hydrodynamics (SPH) method with a Drucker-Prager (D-P) elastoplastic material model was developed. It was validated against analytical models and published data and then calibrated using results of a custom track testing device applied to the two racetrack types. Second, a sensitivity analysis was performed to determine which model parameters contribute most significantly to the mechanical response of the track under impact-type loading. Third, the SPH track model was coupled to a biomechanical model of the horse forelimb and applied to hoof-track impact for a horse galloping on each track surface. We found that 1) the SPH track model was well validated and it could be calibrated to accurately represent impact loading of racetrack surfaces at two angles of impact; 2) the amount of harrowing applied to the track had the largest effect on impact loading, followed by elastic modulus and cohesion; 3) the model is able to accurately simulate hoof-ground interaction and enables study of the relationship between track surface parameters and the loading on horses' distal forelimbs.
Author Whitton, R. Chris
Harrison, Simon M.
Symons, Jennifer E.
Stover, Susan M.
Cleary, Paul W.
AuthorAffiliation 1 Data61 , CSIRO , Clayton , VIC , Australia
4 University of Portland , Portland , OR , United States
2 Faculty of Veterinary and Agricultural Sciences , University of Melbourne , Melbourne , VIC , Australia
3 School of Veterinary Medicine , University of California, Davis , Davis , CA , United States
AuthorAffiliation_xml – name: 2 Faculty of Veterinary and Agricultural Sciences , University of Melbourne , Melbourne , VIC , Australia
– name: 3 School of Veterinary Medicine , University of California, Davis , Davis , CA , United States
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– name: 4 University of Portland , Portland , OR , United States
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Cites_doi 10.1111/evj.12782
10.1115/1.1865196
10.1016/j.cbpa.2008.09.007
10.1016/s0045-7825(01)00254-7
10.1016/j.humov.2011.06.008
10.1006/jcph.2000.6439
10.1038/414895a
10.1242/jeb.065441
10.1155/2008/165730
10.1111/evj.12113
10.1007/s10237-016-0814-1
10.2460/ajvr.2001.62.1585
10.1007/978-1-4020-9090-5_26
10.1016/s0305-0491(98)00024-8
10.1504/pcfd.2007.013000
10.1016/j.jbiomech.2013.10.001
10.1111/j.2042-3306.1998.tb05128.x
10.1002/nme.2316
10.1007/s12283-017-0246-x
10.1016/j.commatsci.2013.12.018
10.1111/j.2042-3306.2001.tb05360.x
10.1016/j.jclepro.2017.12.228
10.1108/02644401311304845
10.1242/jeb.044545
10.1016/s0307-904x(98)10031-8
10.1016/j.jbiomech.2015.01.006
10.2746/042516402776250388
10.1016/j.jbiomech.2016.03.057
10.3390/w9110882
10.1016/j.cma.2014.12.005
10.1136/vr.145.17.487
10.1016/j.jmatprotec.2006.03.237
10.1016/j.biosystemseng.2012.12.004
10.1016/j.jmbbm.2021.104622
10.1115/1.4031586
10.1016/j.jterra.2008.11.001
10.1007/s10915-014-9948-4
10.1007/s004660100236
10.1016/j.humov.2019.02.003
10.1016/j.ijmecsci.2006.11.005
10.1016/j.apm.2015.11.009
10.1016/j.jevs.2014.11.008
10.1080/00221686.2010.9641242
10.1006/jcph.1994.1034
10.1016/0020-7225(65)90019-4
10.1016/j.apm.2016.12.009
10.1016/j.apm.2006.03.012
10.1016/j.apm.2009.04.004
10.1007/s00217-013-2077-8
10.1016/j.enggeo.2019.105266
10.1007/s10704-012-9766-3
10.1111/j.2042-3306.1996.tb01605.x
10.1007/s00466-012-0748-0
10.1016/j.tvjl.2004.10.009
10.1016/j.biosystemseng.2010.08.010
10.1046/j.1439-0442.2000.00263.x
10.1111/j.2042-3306.2012.00582.x
10.1371/journal.pone.0159541
10.1242/jeb.00254
10.1002/nag.3070
10.1016/j.jbiomech.2021.110715
10.1088/0034-4885/68/8/r01
10.1111/evj.15_12595
10.1016/j.biosystemseng.2013.04.002
10.1016/j.tafmec.2009.12.004
10.1016/j.tvjl.2018.11.014
10.1007/3-540-54960-9_58
10.1002/nag.688
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Copyright Copyright © 2022 Harrison, Whitton, Stover, Symons and Cleary.
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Keywords quadruped
elastoplastic
biomechanics
large deformation
gait
equine
Language English
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Peter Quesada, University of Louisville, United States
This article was submitted to Biomechanics, a section of the journal Frontiers in Bioengineering and Biotechnology
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References Harrison (B34); 40
Thomason (B72) 2002; 34
Das (B24) 2007
Lemiale (B42) 2012
Maurel (B48) 2008; 76
Zhang (B77) 2017; 9
Cleary (B14) 1998; 22
Monaghan (B56) 2005; 68
Rausch (B63) 2017; 16
Akbari Shahkhosravi (B1); 128
Cohen (B17) 2018; 21
Limido (B45) 2007; 49
Harrison (B31) 2019; 64
Chen (B9) 2001; 27
Zhan (B76) 2020; 44
Das (B22) 2014; 64
Hambleton (B28) 2008; 45
Symons (B70) 2014; 46
Monaghan (B57) 2000; 159
Sneddon (B67) 1965; 3
Akbari Shahkhosravi (B2); 121
Wang (B73) 2019; 261
Cleary (B10) 2013; 30
Merritt (B54) 2008; 2008
Bui (B7) 2008; 32
Libersky (B44) 1991
López (B46) 2012; 51
Li (B43) 2018; 179
Hinterhofer (B38) 2000; 47
Bailey (B3) 1999; 145
Biewener (B6) 1998; 120
Pereira (B60) 2017; 44
Peterson (B61) 2016; 48
Riemersma (B64) 1996; 28
Behnke (B5) 2018; 50
Harrison (B33) 2014; 238
Hitchens (B39) 2019; 245
Parkin (B59) 2006; 171
Xi (B75) 2014; 84
Ganzenmüller (B25) 2015; 286
Cleary (B12) 2010; 34
Setterbo (B66) 2013; 45
McCarty (B49) 2016; 11
McGuigan (B50) 2003; 206
Monaghan (B55) 1994; 110
Cohen (B18) 2015; 137
Harrison (B36) 2012; 215
Newlyn (B58) 1998; 30
Harrison (B29) 2014; 47
Butcher (B8) 2009; 152
Harrison (B35) 2010; 213
Cleary (B11) 2008
Mahaffey (B47) 2013; 114
Wilson (B74) 2001; 414
Das (B21) 2010; 53
Symons (B71) 2016; 49
Das (B23) 2008
Meershoek (B51) 2001; 62
Jansová (B41) 2015; 35
Swanstrom (B68) 2005; 127
Cleary (B13); 30
Ramsey (B62) 2013; 115
Das (B20) 2013; 179
Gomez-Gesteira (B26) 2010; 48
Cleary (B16) 2007; 7
Symons (B69) 2015; 48
Harrison (B30) 2013
Cleary (B15); 177
Gray (B27) 2001; 190
Harrison (B32); 48
Salo (B65) 2010; 107
Cohen (B19) 2012; 31
Hinterhofer (B37) 2001; 33
References_xml – volume: 50
  start-page: 519
  year: 2018
  ident: B5
  article-title: Numerical Time-Domain Modelling of Hoof-Ground Interaction during the Stance Phase
  publication-title: Equine Vet. J.
  doi: 10.1111/evj.12782
– volume: 127
  start-page: 318
  year: 2005
  ident: B68
  article-title: Musculoskeletal Modeling and Dynamic Simulation of the Thoroughbred Equine Forelimb during Stance Phase of the Gallop
  publication-title: J. Biomech. Eng.
  doi: 10.1115/1.1865196
– volume: 152
  start-page: 100
  year: 2009
  ident: B8
  article-title: Contractile Behavior of the Forelimb Digital Flexors during Steady-State Locomotion in Horses (Equus caballus): an Initial Test of Muscle Architectural Hypotheses about In Vivo Function
  publication-title: Comp. Biochem. Physiol. A: Mol. Integr. Physiol.
  doi: 10.1016/j.cbpa.2008.09.007
– volume: 190
  start-page: 6641
  year: 2001
  ident: B27
  article-title: SPH Elastic Dynamics
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/s0045-7825(01)00254-7
– volume: 31
  start-page: 604
  year: 2012
  ident: B19
  article-title: Simulations of Dolphin Kick Swimming Using Smoothed Particle Hydrodynamics
  publication-title: Hum. Mov. Sci.
  doi: 10.1016/j.humov.2011.06.008
– volume: 159
  start-page: 290
  year: 2000
  ident: B57
  article-title: SPH without a Tensile Instability
  publication-title: J. Comput. Phys.
  doi: 10.1006/jcph.2000.6439
– volume: 414
  start-page: 895
  year: 2001
  ident: B74
  article-title: Horses Damp the spring in Their Step
  publication-title: Nature
  doi: 10.1038/414895a
– volume: 215
  start-page: 2980
  year: 2012
  ident: B36
  article-title: Forelimb Muscle Activity during Equine Locomotion
  publication-title: J. Exp. Biol.
  doi: 10.1242/jeb.065441
– volume: 2008
  start-page: 1
  year: 2008
  ident: B54
  article-title: Influence of Muscle-Tendon Wrapping on Calculations of Joint Reaction Forces in the Equine Distal Forelimb
  publication-title: Biomed. Res. Int.
  doi: 10.1155/2008/165730
– volume: 46
  start-page: 227
  year: 2014
  ident: B70
  article-title: Distal Hindlimb Kinematics of Galloping Thoroughbred Racehorses on Dirt and Synthetic Racetrack Surfaces
  publication-title: Equine Vet. J.
  doi: 10.1111/evj.12113
– volume: 16
  start-page: 249
  year: 2017
  ident: B63
  article-title: Modeling Soft Tissue Damage and Failure Using a Combined Particle/Continuum Approach
  publication-title: Biomech. Model. Mechanobiol.
  doi: 10.1007/s10237-016-0814-1
– year: 2012
  ident: B42
  article-title: Numerical Modelling of Landslide Events Using a Combination of Continuum and Discrete Methods
– volume: 62
  start-page: 1585
  year: 2001
  ident: B51
  article-title: Model Formulation and Determination of In Vitro Parameters of a Noninvasive Method to Calculate Flexor Tendon Forces in the Equine Forelimb
  publication-title: Am. J. Vet. Res.
  doi: 10.2460/ajvr.2001.62.1585
– start-page: 287
  volume-title: IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media
  year: 2008
  ident: B11
  article-title: The Potential for SPH Modelling of Solid Deformation and Fracture
  doi: 10.1007/978-1-4020-9090-5_26
– volume: 120
  start-page: 73
  year: 1998
  ident: B6
  article-title: Muscle-tendon Stresses and Elastic Energy Storage during Locomotion in the Horse
  publication-title: Comp. Biochem. Physiol. B: Biochem. Mol. Biol.
  doi: 10.1016/s0305-0491(98)00024-8
– volume: 7
  start-page: 70
  year: 2007
  ident: B16
  article-title: Smooth Particle Hydrodynamics: Status and Future Potential
  publication-title: Pcfd
  doi: 10.1504/pcfd.2007.013000
– volume: 47
  start-page: 65
  year: 2014
  ident: B29
  article-title: Evaluation of a Subject-specific Finite-Element Model of the Equine Metacarpophalangeal Joint under Physiological Load
  publication-title: J. Biomech.
  doi: 10.1016/j.jbiomech.2013.10.001
– volume: 30
  start-page: 103
  year: 1998
  ident: B58
  article-title: Finite Element Analysis of Static Loading in Donkey Hoof wall
  publication-title: Equine Vet. J. Suppl.
  doi: 10.1111/j.2042-3306.1998.tb05128.x
– volume: 76
  start-page: 949
  year: 2008
  ident: B48
  article-title: An SPH Shell Formulation for Plasticity and Fracture Analysis in Explicit Dynamics
  publication-title: Int. J. Numer. Meth. Engng
  doi: 10.1002/nme.2316
– volume: 21
  start-page: 63
  year: 2018
  ident: B17
  article-title: Forces during Front Crawl Swimming at Different Stroke Rates
  publication-title: Sports Eng.
  doi: 10.1007/s12283-017-0246-x
– volume: 84
  start-page: 188
  year: 2014
  ident: B75
  article-title: SPH/FE Modeling of Cutting Force and Chip Formation during Thermally Assisted Machining of Ti6Al4V alloy
  publication-title: Comput. Mater. Sci.
  doi: 10.1016/j.commatsci.2013.12.018
– volume: 33
  start-page: 58
  year: 2001
  ident: B37
  article-title: Finite Element Analysis (FEA) as a Model to Predict Effects of Farriery on the Equine Hoof
  publication-title: Equine Vet. J.
  doi: 10.1111/j.2042-3306.2001.tb05360.x
– volume: 179
  start-page: 55
  year: 2018
  ident: B43
  article-title: Soil-cutting Simulation and Parameter Optimization of Handheld Tiller's Rotary Blade by Smoothed Particle Hydrodynamics Modelling and Taguchi Method
  publication-title: J. Clean. Prod.
  doi: 10.1016/j.jclepro.2017.12.228
– volume: 30
  start-page: 157
  year: 2013
  ident: B10
  article-title: Prediction of Industrial, Biophysical and Extreme Geophysical Flows Using Particle Methods
  publication-title: Eng. Computations
  doi: 10.1108/02644401311304845
– volume: 213
  start-page: 3998
  year: 2010
  ident: B35
  article-title: Relationship between Muscle Forces, Joint Loading and Utilization of Elastic Strain Energy in Equine Locomotion
  publication-title: J. Exp. Biol.
  doi: 10.1242/jeb.044545
– volume: 22
  start-page: 981
  year: 1998
  ident: B14
  article-title: Modelling Confined Multi-Material Heat and Mass Flows Using SPH
  publication-title: Appl. Math. Model.
  doi: 10.1016/s0307-904x(98)10031-8
– volume: 48
  start-page: 566
  year: 2015
  ident: B69
  article-title: Modeling Equine Race Surface Vertical Mechanical Behaviors in a Musculoskeletal Modeling Environment
  publication-title: J. Biomech.
  doi: 10.1016/j.jbiomech.2015.01.006
– volume: 34
  start-page: 719
  year: 2002
  ident: B72
  article-title: Analysis of Strain and Stress in the Equine Hoof Capsule Using Finite Element Methods: Comparison with Principal Strains Recorded In Vivo
  publication-title: Equine Vet. J.
  doi: 10.2746/042516402776250388
– volume: 49
  start-page: 1711
  year: 2016
  ident: B71
  article-title: Hitting the Ground Running: Evaluating an Integrated Racehorse Limb and Race Surface Computational Model
  publication-title: J. Biomech.
  doi: 10.1016/j.jbiomech.2016.03.057
– volume: 9
  start-page: 882
  year: 2017
  ident: B77
  article-title: Updated Smoothed Particle Hydrodynamics for Simulating Bending and Compression Failure Progress of Ice
  publication-title: Water
  doi: 10.3390/w9110882
– volume: 286
  start-page: 87
  year: 2015
  ident: B25
  article-title: An Hourglass Control Algorithm for Lagrangian Smooth Particle Hydrodynamics
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2014.12.005
– volume: 145
  start-page: 487
  year: 1999
  ident: B3
  article-title: Impact of Injuries and Disease on a Cohort of Two- and Three-Year-Old Thoroughbreds in Training
  publication-title: Vet. Rec.
  doi: 10.1136/vr.145.17.487
– volume: 177
  start-page: 41
  ident: B15
  article-title: Novel Applications of Smoothed Particle Hydrodynamics (SPH) in Metal Forming
  publication-title: J. Mater. Process. Techn.
  doi: 10.1016/j.jmatprotec.2006.03.237
– volume: 114
  start-page: 178
  year: 2013
  ident: B47
  article-title: The Effects of Varying Cushion Depth on Dynamic Loading in Shallow Sand Thoroughbred Horse Dirt Racetracks
  publication-title: Biosyst. Eng.
  doi: 10.1016/j.biosystemseng.2012.12.004
– volume: 121
  start-page: 104622
  ident: B2
  article-title: Linear Elastic and Hyperelastic Studies of Equine Hoof Mechanical Response at Different Hydration Levels
  publication-title: J. Mech. Behav. Biomed. Mater.
  doi: 10.1016/j.jmbbm.2021.104622
– volume: 137
  start-page: 111007
  year: 2015
  ident: B18
  article-title: The Role of the Hand during Freestyle Swimming
  publication-title: J. Biomech. Eng.
  doi: 10.1115/1.4031586
– volume: 48
  start-page: 20
  ident: B32
  article-title: A Computational Model of Hoof-Ground Dynamic Interaction for Evaluating Muscle and Joint Reaction Forces during Equine Locomotion
  publication-title: Equine Vet. J.
– volume: 45
  start-page: 201
  year: 2008
  ident: B28
  article-title: Modeling Wheel-Induced Rutting in Soils: Indentation
  publication-title: J. Terramechanics
  doi: 10.1016/j.jterra.2008.11.001
– volume: 64
  start-page: 858
  year: 2014
  ident: B22
  article-title: Evaluation of Accuracy and Stability of the Classical SPH Method under Uniaxial Compression
  publication-title: J. Sci. Comput.
  doi: 10.1007/s10915-014-9948-4
– volume: 27
  start-page: 177
  year: 2001
  ident: B9
  article-title: A Corrective Smoothed Particle Method for Transient Elastoplastic Dynamics
  publication-title: Comput. Mech.
  doi: 10.1007/s004660100236
– volume: 64
  start-page: 252
  year: 2019
  ident: B31
  article-title: Dynamic Simulation of Flat Water Kayaking Using a Coupled Biomechanical-Smoothed Particle Hydrodynamics Model
  publication-title: Hum. Mov. Sci.
  doi: 10.1016/j.humov.2019.02.003
– volume: 49
  start-page: 898
  year: 2007
  ident: B45
  article-title: SPH Method Applied to High Speed Cutting Modelling
  publication-title: Int. J. Mech. Sci.
  doi: 10.1016/j.ijmecsci.2006.11.005
– volume: 40
  start-page: 3812
  ident: B34
  article-title: A Coupled Biomechanical-Smoothed Particle Hydrodynamics Model for Predicting the Loading on the Body during Elite Platform Diving
  publication-title: Appl. Math. Model.
  doi: 10.1016/j.apm.2015.11.009
– volume: 35
  start-page: 60
  year: 2015
  ident: B41
  article-title: A Finite Element Model of an Equine Hoof
  publication-title: J. Equine Vet. Sci.
  doi: 10.1016/j.jevs.2014.11.008
– start-page: 659
  volume-title: Proceedings of the 5th Australasian Congress on Applied Mechanics
  year: 2007
  ident: B24
  article-title: Modelling Stress Wave Propagation and Triaxial Compression Test Using Smoothed Particle Hydrodynamics
– year: 2013
  ident: B30
  article-title: Dynamic Prediction of Body Dynamics during Walking on Soft Surfaces
– volume: 48
  start-page: 6
  year: 2010
  ident: B26
  article-title: State-of-the-art of Classical SPH for Free-Surface Flows
  publication-title: J. Hydraulic Res.
  doi: 10.1080/00221686.2010.9641242
– volume: 110
  start-page: 399
  year: 1994
  ident: B55
  article-title: Simulating Free Surface Flows with SPH
  publication-title: J. Comput. Phys.
  doi: 10.1006/jcph.1994.1034
– volume: 3
  start-page: 47
  year: 1965
  ident: B67
  article-title: The Relation between Load and Penetration in the Axisymmetric Boussinesq Problem for a Punch of Arbitrary Profile
  publication-title: Int. J. Eng. Sci.
  doi: 10.1016/0020-7225(65)90019-4
– volume: 44
  start-page: 72
  year: 2017
  ident: B60
  article-title: SPH Method Applied to Compression of Solid Materials for a Variety of Loading Conditions
  publication-title: Appl. Math. Model.
  doi: 10.1016/j.apm.2016.12.009
– volume: 30
  start-page: 1406
  ident: B13
  article-title: 3D SPH flow predictions and validation for high pressure die casting of automotive components
  publication-title: Appl. Math. Model.
  doi: 10.1016/j.apm.2006.03.012
– volume: 34
  start-page: 266
  year: 2010
  ident: B12
  article-title: Elastoplastic Deformation during Projectile-wall Collision
  publication-title: Appl. Math. Model.
  doi: 10.1016/j.apm.2009.04.004
– volume: 238
  start-page: 185
  year: 2014
  ident: B33
  article-title: Towards Modelling of Fluid Flow and Food Breakage by the Teeth in the Oral Cavity Using Smoothed Particle Hydrodynamics (SPH)
  publication-title: Eur. Food Res. Technol.
  doi: 10.1007/s00217-013-2077-8
– volume: 261
  start-page: 105266
  year: 2019
  ident: B73
  article-title: Probabilistic Analysis of post-failure Behavior of Soil Slopes Using Random Smoothed Particle Hydrodynamics
  publication-title: Eng. Geology.
  doi: 10.1016/j.enggeo.2019.105266
– volume: 179
  start-page: 9
  year: 2013
  ident: B20
  article-title: A Mesh-free Approach for Fracture Modelling of Gravity Dams under Earthquake
  publication-title: Int. J. Fract.
  doi: 10.1007/s10704-012-9766-3
– volume: 28
  start-page: 133
  year: 1996
  ident: B64
  article-title: Tendon Strain in the Forelimbs as a Function of Gait and Ground Characteristics and In Vitro Limb Loading in Ponies
  publication-title: Equine Vet. J.
  doi: 10.1111/j.2042-3306.1996.tb01605.x
– volume: 51
  start-page: 731
  year: 2012
  ident: B46
  article-title: Dynamic Particle Refinement in SPH: Application to Free Surface Flow and Non-cohesive Soil Simulations
  publication-title: Comput. Mech.
  doi: 10.1007/s00466-012-0748-0
– volume: 171
  start-page: 157
  year: 2006
  ident: B59
  article-title: Catastrophic Fracture of the Lateral Condyle of the Third Metacarpus/metatarsus in UK Racehorses - Fracture Descriptions and Pre-existing Pathology
  publication-title: Vet. J.
  doi: 10.1016/j.tvjl.2004.10.009
– volume: 107
  start-page: 262
  year: 2010
  ident: B65
  article-title: Analysis of Strain and Stress in the Equine Hoof Using Finite Element Analysis: Comparison with Minimum Principal Strains Recorded In Vivo
  publication-title: Biosyst. Eng.
  doi: 10.1016/j.biosystemseng.2010.08.010
– year: 2008
  ident: B23
  article-title: Modelling Stress Wave Propagation under Biaxial Loading Using SPH
– volume: 47
  start-page: 73
  year: 2000
  ident: B38
  article-title: The Effect of Flat Horseshoes, Raised Heels and Lowered Heels on the Biomechanics of the Equine Hoof Assessed by Finite Element Analysis (FEA)
  publication-title: J. Vet. Med. Ser. A
  doi: 10.1046/j.1439-0442.2000.00263.x
– volume: 45
  start-page: 25
  year: 2013
  ident: B66
  article-title: Dynamic Properties of a Dirt and a Synthetic Equine Racetrack Surface Measured by a Track-Testing Device
  publication-title: Equine Vet. J.
  doi: 10.1111/j.2042-3306.2012.00582.x
– volume: 11
  start-page: e0159541
  year: 2016
  ident: B49
  article-title: Finite-Element Analysis of Bone Stresses on Primary Impact in a Large-Animal Model: The Distal End of the Equine Third Metacarpal
  publication-title: PLOS ONE
  doi: 10.1371/journal.pone.0159541
– volume: 206
  start-page: 1325
  year: 2003
  ident: B50
  article-title: The Effect of Gait and Digital Flexor Muscle Activation on Limb Compliance in the Forelimb of the horseEquus Caballus
  publication-title: J. Exp. Biol.
  doi: 10.1242/jeb.00254
– volume: 44
  start-page: 1446
  year: 2020
  ident: B76
  article-title: A SPH Framework for Dynamic Interaction between Soil and Rigid Body System with Hybrid Contact Method
  publication-title: Int. J. Numer. Anal. Methods Geomech
  doi: 10.1002/nag.3070
– volume: 128
  start-page: 110715
  ident: B1
  article-title: The Influence of Equine Limb Conformation on the Biomechanical Responses of the Hoof: An In Vivo and Finite Element Study
  publication-title: J. Biomech.
  doi: 10.1016/j.jbiomech.2021.110715
– volume: 68
  start-page: 1703
  year: 2005
  ident: B56
  article-title: Smoothed Particle Hydrodynamics
  publication-title: Rep. Prog. Phys.
  doi: 10.1088/0034-4885/68/8/r01
– volume: 48
  start-page: 12
  year: 2016
  ident: B61
  article-title: Constitutive Modelling of Equestrian Surface Materials
  publication-title: Equine Vet. J.
  doi: 10.1111/evj.15_12595
– volume: 115
  start-page: 283
  year: 2013
  ident: B62
  article-title: The Influence of Loading Conditions on Equine Hoof Capsule Deflections and Stored Energy Assessed by Finite Element Analysis
  publication-title: Biosyst. Eng.
  doi: 10.1016/j.biosystemseng.2013.04.002
– volume: 53
  start-page: 47
  year: 2010
  ident: B21
  article-title: Effect of Rock Shapes on Brittle Fracture Using Smoothed Particle Hydrodynamics
  publication-title: Theor. Appl. Fracture Mech.
  doi: 10.1016/j.tafmec.2009.12.004
– volume: 245
  start-page: 29
  year: 2019
  ident: B39
  article-title: Meta-analysis of Risk Factors for Racehorse Catastrophic Musculoskeletal Injury in Flat Racing
  publication-title: Vet. J.
  doi: 10.1016/j.tvjl.2018.11.014
– start-page: 248
  volume-title: Advances in the Free-Lagrange Method Including Contributions on Adaptive Gridding and the Smooth Particle Hydrodynamics Method
  year: 1991
  ident: B44
  article-title: Smooth Particle Hydrodynamics with Strength of Materials
  doi: 10.1007/3-540-54960-9_58
– volume: 32
  start-page: 1537
  year: 2008
  ident: B7
  article-title: Lagrangian Meshfree Particles Method (SPH) for Large Deformation and Failure Flows of Geomaterial Using Elastic-Plastic Soil Constitutive Model
  publication-title: Int. J. Numer. Anal. Meth. Geomech.
  doi: 10.1002/nag.688
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Snippet Distal limb injuries are common in racing horses and track surface properties have been associated with injury risk. To better understand how track surfaces...
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StartPage 766748
SubjectTerms Bioengineering and Biotechnology
biomechanics
elastoplastic
equine
gait
large deformation
quadruped
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Title A Coupled Biomechanical-Smoothed Particle Hydrodynamics Model for Horse Racing Tracks
URI https://www.ncbi.nlm.nih.gov/pubmed/35265590
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