Mathematical Models in Mechanical and Biomedical Tribology with Computational Simulations/Optimization Methods

Authors

  • Francisco Casesnoves  Computational-Engineering Researcher,Department of Mechanical and Industrial Engineering, Tallinn University of Technology, IEEE (Institute of Electrical and Electronics Engineering) Individual Researcher Member, Tallinn, Estonia
  • Andrei Surzhenkov  Assistant Professor, Department of Mechanical and Industrial Engineering, Tallinn University of Technology, Tallinn, Estonia

Keywords:

Tribology, Wear, Biomedical Devices, Biomedical Implants, Erosion, Corrosion, Erosion-Corrosion, Mathematical Modelling, Nonlinear Optimization, Tribotest

Abstract

Surface damage, wear, corrosion, and erosion-corrosion in bioengineering artificial implants, interior, exterior, or partlially-interior/exterior biomedical devices causes significant operational bioengineering/biomechanical difficulties—the same phenomena that occurs classically in a large number of mechanical systems/machinery. Additionally, this kind of deterioration could also involve prostheses, temporary prostheses or orthopaedic supplies, surgical permanent devices, and even surgery theatre tools, causing a series of important associated functional difficulties. This usually happens during surgery and the post-operation stage. The consequences of this industrial-biomedical design complexity are extent, from re-operation, failure of medical devices, or post-surgical discomfort/pain to complete malfunction of the device or prostheses. In addition to all these hurdles, there are economic loss and waste of operation-surgical time, re-operations and manoeuvres carried out in modifications or repair. The wear is caused mainly by solid surfaces in contact, with important participation of the lubrication physiological/artificial conditions. Corrosion of protective coatings also constitute a number of significant mechanical and bioengineering difficulties. Mathematical modelling through optimization methods, initially mostly developed for industrial mechanical systems, overcome these engineering/bioengineering complications/difficulties, and reduce the experimental/tribotesting period in the rather expensive manufacturing process. In this contribution we provide a brief review of the current classified wear, erosion and/or corrosion mathematical models in developed for general mechanics, and based on our recent modelling international publications in tribology, as a introductory research. Subsequently the aim focus on specific tribology for biomedical applications and, additionally, a brief of optimization methods for precise modelling of given appliances with computational series, programming presentation, and numerical-software practical recipes. Results comprise an initial review of tribological/wear/erosion/corrosion models with further simulations, computational nonlinear optimization programming and graphical data/examples both in mechanical and biomechanical engineering. 3D computational imaging series are sharply shown with extent explanations.

References

  1. Kulu, P, Zimakov, S. Wear resistance of thermal sprayed coatings on the base of recycled hardmetal. Surface and Coatings Technology 130 2000 46-51.
  2. Antonov,M, Renno Veinthal Elina Huttunen-Saarivirta Irina Hussainova, Ahto Vallikivi, MartynasLelis, Jelena Priss. ‘Effect of oxidation on erosive wear behaviour of boiler steels’. Tribology International 68 (2013) 35–44.
  3. Matthews, S Franklin and K Holmberg.’ Tribological coatings: contact mechanisms and selection’.
  4. Kleis, I, Kulu, P. Solid Particle Erosion. Springer. 2008.
  5. Ots, A. Oils Shale Combustion. Trukitud Tallinna Raamatrutukikojas. Tallinn 2004.
  6. Shin J, Jeon Y, Maeng,. Kim,J. Ro. Analysis of the dynamic characteristics of a combined-cycle power plant. Energy 27 (2002) 1085–1098.
  7. Casesnoves, F. 'Computational Simulations of Vertebral Body for Optimal Instrumentation Design'. ASME Journal of Medical Devices (Research Paper). Author: F Casesnoves .Journal of Medical Devices. June 2012. Volume 6. Issue 2/021014.11 pages.http://dx.doi.org/10.1115/1.4006670.
  8. Ožbolt J; Sola E and Balabani? G. Accelerated Corrosion of Steel Reinforcement in Concrete: experimental Tests and Numerical 3D FE Analysis.ASCE Conference Proceedings. Concreep 10.
  9. Chen Q, Li D. Computer simulation of solid-particle erosion of composite materials. Wear 255 (2003) 78–84.
  10. Mackerle J. Finite-element analysis and simulation of machining: a bibliography (1976–1996). Journal of Materials Processing Technology 86 (1999) 17–44.
  11. Antonov, M. Assessment of Cermets Performance in Aggressive Media. Doctoral Dissertation, thesis. thesis on mechanical and instrumental engineering e29.TUT Press. 2006.
  12. Antonov, Renno, and collaborators. Effect of oxidation on erosive wear behavior of boiler steels.
  13. Irina Hussainova Jakob Kubarsepp Igor Shcheglov. Investigation of impact of solid particles against hardmetal and cermet targets. Tribology International 32 (1999) 337–344.
  14. Hussainova, Jakob Kubarsepp, Juri Pirso. Mechanical properties and features of erosion of cermets.
  15. Antonov, Hussainova, and collaborators. Effect of temperature and load on three-body abrasion of cermets and steel.
  16. Antonov,M Remigiusz Michalczewski, Rihard Pasaribu and Witold Piekoszewski. Comparison of a tribological model and real component test methods for lubricated contacts. Estonian Journal of Engineering, 2009, 15, 4, 349–358.
  17. Shimizu K, Noguchi T, Seitoh H, Okadab M, Matsubara Y. FEM analysis of erosive wear. Wear 250 (2001) 779–784.
  18. Abramobitz, Stegun. Handbook of Mathematical Functions. Applied Mathematics Series. 55.1972.
  19. Nielsen J. Heuristic Evaluation.Usability Inspection Methods. Chapter 2.
  20. Machery E. Concept empiricism: A methodological critique. Cognition 104 (2007) 19–46.
  21. ElTobgy M, Ng E, Elbestawi M. Finite element modeling of erosive wear. International Journal of Machine Tools & Manufacture 45 (2005) 1337–1346.
  22. Ashby F.Materials Selection in Mechanical Engineering. Butterworth-Heinemann.2000.
  23. Crocker, L. A review of current methods for modeling erosive wear. NPL Report. 2011.
  24. Li L, Li D. Simulation of corrosion-erosion of passive metals using a micro-scale dynamical model. Wear 271 (2011) 1404– 1410.
  25. Melchers R. Mathematical modelling of the diffusion controlled phase in marine immersion corrosion of mild steel. Corrosion Science 45 (2003) 923–940.
  26. Tribocorrosion:research, testing, and applications. Selected Technical Papers. International Standards Worldwide. ASTM, STP#1563.
  27. Creager M, and Paris C. Elastic field equations for blunt crackes with reference to stress corrosion cracking.
  28. The reliability of mechanical systems. Second Edition. Mechanical Engineering Publications Ltd. Institution of Mechanical Engineers., London.1994.
  29. Todinov, M. Reliability and Risk Models. Wiley. 2005.
  30. Luenberger, G D. Linear and Nonlinear Programming. Fourth Edition.Springer.2008.
  31. Casesnoves,F.'Large-Scale Matlab Optimization Toolbox (MOT) Computing Methods in Radiotherapy Inverse reatment Planning’. High Performance Computing Meeting. Nottingham University.January 2007.
  32. Casesnoves, F. ‘A Monte-Carlo Optimization method for the movement analysis of pseudo-rigid bodies’. 10th SIAM Conference in Geometric Design and Computing, Texas, San Antonio, USA. Contributed Talk. November 2007.
  33. Derrick O. Njobuenwu, Michael Fairweather. Modelling of pipe bend erosion by dilute particle suspensions. Computers and Chemical Engineering 42 (2012) 235– 247.
  34. Casesnoves, F. 'Applied Inverse Methods for Deformable Solid Dynamics/Kinematics in Numerical Reuleaux Method (NRM)'. INTERNATIONAL JOURNAL OF NUMERICAL METHODS AND APPLICATIONS. VOLUME 9(2) 2013 .Pages 109-131. Peer-Reviewed International Mathematical/Computation Journal Article. print/Online.http://www.pphmj.com/abstract/7688.htm. This article is specially innovative in Inverse Problems applications for deformable solids kinematics/dynamics, further publications are included in United States Congress Library [ref 64] and Numerical Reuleaux Method is accepted by scientific community as an innovative dynamics method in deformable solids with mechanical, biomechanical and aerospace applications. New applications of this method will be probably found significantly in future.
  35. Mayusama, F.’History of Power Plants and Progress in Heat Resistant Steels’. International Journal of the Iron and Steel Institute of Japan ISIJ International, Vol. 41 (2001), No. 6, pp. 612–625.
  36. Duan, V. Y. Karelin. abrasive erosion and corrosion of hydraulic machinery. world Scientific Publishing Co. Pte. Ltd.2002.
  37. Wood R J. The sand erosion performance of coatings. Materials and Design 20 _1999. 179-191.
  38. Martin, J. Materials for Engineering. 4th CRC Press.2006.
  39. Lewis, R, Oloffson, U. Wheel Rail Interface Handbook. CRC Press. 2009.
  40. Mellor, B G. Surface coatings for protections against wear. CRC Press. Woodhead Publishing in Materials. 2006.
  41. Woytowitz ,P, Richman R. Modeling of damage from multiple impacts by spherical particles. Wear 233–235 .999. 120–133.
  42. Li D, Elalem K, Anderson M, Chiovelli S. A microscale dynamical model for wear simulation. Wear 225–229 .1999. 380–386.
  43. Matthews A, Franklin S, and Holmberg K. Tribological coatings: contact mechanisms and selection. Phys. D: Appl. Phys. 40 (2007) 5463–5475.
  44. Liao H, Normand B, Coddet C. Influence of coating microstructure on the abrasive wear resistance of WC/Co cermet coatings. Surface and Coatings Technology 124 (2000) 235–242.
  45. Melchers R, Jeffrey R. Early corrosion of mild steel in seawater. Corrosion Science 47 (2005) 1678–1693.
  46. ‘European Textbook on Ethics in Research’. European Commission, Directorate-General for Research. Unit L3. Governance and Ethics. European Research Area. Science and Society. EUR 24452 EN.
  47. Galante, J, Rostoker, W. Wear in Total Hip Prostheses. Acta Orthopaedica Scandinavica. 43:sup145, 1-46, DOI: 10.3109/ort.1972.43.suppl-145.01.
  48. Mattei, F.DiPuccio, B.Piccigallo, E.Ciulli . Lubrication and wear modelling of artificial hip joints: A review. Tribology International 44 (2011) 532–549.
  49. Casesnoves, F.. 2016. Exact Integral Equation Determination with 3D Wedge Filter Convolution Factor Solution in Radiotherapy. Series of Computational-Programming 2D-3D Dosimetry Simulations.  International Journal of Scientific Research in Science, Engineering and Technology (ijsrset.com). 2016 IJSRSET | Volume 2 | Issue 4 | Print ISSN: 2395-1990 | Online ISSN : 2394-4099 Themed Section: Engineering and Technology.
  50. Casesnoves, Antonov, Kulu. Mathematical Models for Erosion and Corrosion in Power Plants. A Review of Applicable Modelling Optimization Techniques. 2016// 57th International Scientific Conference on Power and Electrical Engineering of Riga Technical University (RTUCON). 2016.
  51. Casesnoves, F. -‘Theory and Primary Computational Simulations of the Numerical Reuleaux Method (NRM)´,Casesnoves,Francisco. Published in International-Scientific Peer-Reviewed Journal, International Journal of Mathematics and Computation. http://www.ceser.in/ceserp/index.php/ijmc/issue/view/119).Volume 13,Issue Number D11.Year 2011.Peer reviewed paper, both in Print and Online. 23 pages with extent mathematical Formulation, Proofs and References.
  52. M. Jin, M. Stone, E. Ingham, J. Fisher. Mini-symposium: biomechanics for the frcs orth exam.(v) biotribology. Current Orthopaedics (2006) 20, 32–40.
  53. Lucien Reclaru, Pierre-Yves Eschler, Reto Lerf, Andreas Blatter. Electrochemical corrosion and metal ion release from Co-Cr-Mo prosthesis with titanium plasma spray coating. Biomaterials 26 (2005) 4747–4756.
  54. Mattei, F.DiPuccio, B.Piccigallo, E.Ciulli. Lubrication and wear modelling of artificial hip joints: A review. Tribology International 44 (2011) 532–549.
  55. -P. Hung, J. S.-S. Wu. A comparative study of wear behaviour of hip prosthesis by finite element simulation. Biomedical Engineering - Applications Basis & Communications, 2002, 14 (4), 139–148.
  56. E. Müller. The benefits of metal-on-metal total hip replacements. Clinical Orthopaedics and Related Research, 1995, 311, 54–59.
  57. C. Scholes, A. Unsworth, R.M. Hall, R. Scott. The effects of material combination and lubricant on the friction of total hip prostheses. Wear, 2000, 241 (2), 209–213.
  58. Downson, F.C. Wang, W.Z. Wang, Z.M. Jin. A predictive analysis of long-term friction and wear characteristics of metal-on-metal total hip replacement. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2007, 221 (3), 367–378.
  59. Downson, Z.-M. Jin. Metal-on-metal hip joint tribology. Proceedings of the Insitution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 2006, 220 (2), 107–118.
  60. A. Wimmer, J. Loos, R. Nassutt, M. Heitkemper, A. Fisher. The acting wear mechanisms on metal-on-metal hip joint bearings: in vitro results. Wear, 2001, 250 (1–2), 129–139.
  61. S-S. Wu, J.-P. Hung, C.-S. Shu, J.-H. Chen. The computer simulation of wear behaviour appearing in total hip prosthesis. Computer Methods and Programs in Biomedicine, 2003, 70, 81–91.
  62. Liu, I. Leslie, S. Williams, J. Fisher, Z. Jin. Development of computational wear simulation of metal-on-metal hip resurfacing replacements. Journal of Biomechanics, 2008, 41 (3), 686–694.
  63. Saikko. A multidirectional motion pin-on-disk wear test method for prosthetic joint materials. Journal of Biomedical Materials Research, 1998, 41 (1), 58–64.
  64. Casesnoves, F. Applied Inverse Methods for Optimal Geometrical-Mechanical Deformation of Lumbar artificial Disks/Implants with Numerical Reuleaux Method. 2D Comparative Simulations and Formulation. Computer Science Applications. Volume 2, Number 4, pp. 1-10. ethanpublishing.com. This article is registered as original method published by Francisco Casesnoves in Philadelphia 2015 in Unoited States Congress library.
  65. Daniel Jebarajaja. F # Succintly, 17. Syncfusion. Technology Resource Portal. Apress.2009.

 

Downloads

Published

2017-02-28

Issue

Section

Research Articles

How to Cite

[1]
Francisco Casesnoves, Andrei Surzhenkov, " Mathematical Models in Mechanical and Biomedical Tribology with Computational Simulations/Optimization Methods, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 2, Issue 1, pp.62-89, January-February-2017.