COMPUTER M ETHODS IN BIOMECHANICS & BIOMEDICAL ENGINEERING - 2 SYMPOSIUM ORGANISERS J. MIDDLETON University of Wales Swansea Swansea, UK M. L.JONES University ofWales College o f Medicine Cardiff, UK G. N. PANDE University of Wales Swansea Swansea, UK TECHNICAL A DVISORY PANEL J. Bonet Barcelona, Spain J. M. Crolet Besancon, France J. H. Heegaard Stanford, USA S. J . Hollister Michigan, USA R. Huiskes Nijmegen, The Netherlands I. Knets Riga, Latvia A. McCulloch San Diego, USA A. N. Natali Padova, Italy C. Oomens Eindhoven, The N etherlands T. M. Peters Montreal, Canada B. R. Simon Arizona, USA N. G. Shrive Calgary, Canada R. L. Spilker Renssalaer, USA G. Steven Sydney, Australia R. Summers London, UK K. Tanne Hiroshima, J apan D. Taylor Dublin, Ireland A. Toni Bologna, Italy SPONSORS 3M Unitek ( Division of 3M Health C are L td.) Gordon & Breach Publishers Welsh Development A gency, Wales, UK Wilde & Partners (FE Division) COMPUTER METHODS IN BIOMECHANICS & BIOMEDICAL ENGINEERING - 2 Edited by J. Middleton University of Wales Swansea, Swansea, UK M. L.Jones University of Wales College ofM edicine, Cardiff, UK G. N. Pande University ofWales Swansea, Swansea, UK Gordon a nd B reach S cience P ublishers Australia • C anada • C hina • France • Germany • India Japan • L uxembourg • Malaysia • T he Netherlands Russia • Singapore • Switzerland Copyright© 1998 OPA (Overseas Publishers A ssociation) N.V. Published b y license under the Gordon a nd Breach Science Publishers imprint. All rights reserved. No part of this book may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying and recording, or by any information storage or retrieval system, without permission in w riting from the publisher. Printed in Singapore. Amsteldijk 166 1st F loor 1079 LH A msterdam The Netherlands British Library Cataloguing i n Publication Data A c atalogue record f or this book i s available from the British Library ISBN: 90-5699-206-6 CONTENTS Preface Xlll Contributors XV 1. MULTIBODY S YSTEMS A ND JOINT M ODELS 1. Anatomical models o f diarthrodial joints: rigid multibody systems and d eformable s tructures? 3 ]. H. Heegaard 2. A dynamic o ptimization s olution f or jumping i n three dimensions 11 F C. Anderson and M . G. Pandy 3. A method o f estimating c ontrol f orces to achieve a given swing phase trajectory d uring n ormal g ait 19 H. S. Gill 4. A new mathematical m odel f or the h uman a nkle joint 27 A. Leardini,].]. O'Connor and F Catani 5. Geometric modeling o f the human u pper e xtremity b ased on r econstructed m edical i mages 35 B. A. Garner and M . G. Pandy 6. 3-D specimen-specific geometric modelling of the knee 43 ]. D. Feikes, D. R. Wilson and].]. O'Connor 7. Musculoskeletal model of the knee for studying ligament function during a ctivity 51 M. G. Pandy and K . B. Shelburne 8. Three dimensional r igid b ody s pring m odelling a nd its application for human joints 59 E. Genda, E. Horii, Y. Suzuki, H. Kasahara andY. Tanaka 9. Dynamic s imulation o f human f lexion-extension movement u sing optimal c ontrol theory 67 0. Coussi, F Danes and G. Bessonnet 2. HIP R EPLACEMENTS: PROSTHESIS/CEMENT/BONE ANALYSIS 10. Torsional stability of total hip arthroplasty: i n-vitro and FEM analysis w ith new trends f or the f uture 77 A. Toni, M. Viceconti, L. Cristofolini, M. Baleani, G. Acquisti and R. Schreiner 11. Structural analysis and p hysical models of total hip r eplacements using a nalytical and f inite element m ethods 87 A. B. Lennon, B. A. 0. McCormack and P .]. Prendergast VI CONTENTS 12. Parameterized 3D finite element m odel o f the c emented r eplaced femur: numerical r ole of contact e lements i n the prosthesis/cement interface 95 E. Astoin, M. Simondi and F . Lavaste 13. An i n v ivo and n umerical a nalysis of the e ffect o f femoral stem surface f inish on c ortical strain i n c emented h ip replacement 103 D. S. Barker, A. Wang, M. F. l'l!o, N. Nawana, S. Brumby, M. Pearcy and D . Howie 14. Comparative s tudy of the results between c ustom non-coated cementless hip implants a nd m irrored c ementless HA-coated hip implants o n t he c ontra-lateral s ide Ill M. Mulier a nd G. Delage 15. Effect of loading h istory on s hort t erm b one a daptation a fter total hip arthroplasty 115 A. Terrier, L. Rakotomanana and P .-F. Leyvraz 16. Load transfer b etween e lastic hip implant a nd v iscoelastic b one 123 S. Piszczatowski, K. Skalski and W Swit:5zkowski 17. Evaluation of acetabular wear i n hip joint p rostheses 131 R. Pietrabissa, M. Raimondi, V. Quaglini and R . Contra 18. Finite element a nalysis and f atigue test p rediction a pplied to the standard f atigue testing o f hip stems 139 H. L. Ploeg, H. W Wevers, U. P. Wyss and M . Burgi 19. Validation of a three dimensional f inite element m odel o f a femur with a customized hip implant 147 B. Couteau, L. Labey, M.C. Hobatho,J. Vander Slaten,]. Y. Arlaud and]. C. Brignola 20. Finite element m odelling o f bone c ement f low during a cetabular 155 component i nsertion i n h ip replacement A. M. R. New, M. D. Northmore-Ball and K . E. Tanner 21. Numerical modelling o f cement p olymerisation a nd t hermal b one necrosis 163 G. R. Starke, C. Birnie and P . S. Tfln den Blink 22. Biomechanical r eaction of double c oating o n m etal i mplants 173 I. Knets,J. Laizans, R. Cimdins, V. Vitins and M . Dobelis 3. BONE A DAPTATION, STRUCTURAL M ODELS A ND ARCHITECTURE 23. Bone a daptation: an i dea o f a multiscale model 181 ]. M. CroZet 24. Three d imensional m odel o f bone e xternal a daptation 189 P. Fridez, L. Rakotomanana, A. Terrier and P .-F. Leyvraz CONTENTS vii 25. Quantification o f the v alidity and a ccuracy of an i ndirect l arge scale finite element a pproach to determining t rabecular b one tissue modulus 197 C. R. J acobs, B. R. Davis, E. M. Paul, A. M. Saad a nd D . P. Fyhrie 26. Design of anatomical computer m odels of skeletal parts w ith specific emphasis on m echanically e quivalent m odelling o f spongy b one 205 H. Druyts,]. vander Slaten, G. van der Perre and R . Gobin 27. Determination o f individualized a nd h omogenised c haracteristics of normal h uman tibiae in v ivo 213 E. Estivalezes, M. C. Hobatho, G. Limbert, B. Couteau and R . Darmana 28. Bone d ensity and m icrostructure: new methods t o determine b one quality and f racture risk 221 D. Ulrich, B. van Rietbergen, A. Laib a nd P . Ruegsegger 29. Construction o f finite element m odels on t he basis of computed tomography d ata 231 G. Kullmer;]. Weiser and H . A. Richard 30. Damage a nd r epair i n c ompact b one: some thoughts o n t he s hape of basic mineralisation u nits 239 D. Taylor 31. Mathematical m odelling o f stress and strain i n b one f racture repair t issue 247 T. N. Gardner; T. Stoll, L. Marks and M . Knothe-Tate 32. Development o f a 2D finite element m odel f or long b ones with any cross section and o rthotropic a xis 255 E. Estivalezes and M . C. Hobatho 33. Swelling as an approach to the simulation o f cortical b one remodelling 263 W. R. Taylor and S. E. Clift 34. A n onlinear f inite element f ormulation for modeling v olumetric growth 271 V. Srinivasan, R. Perucchio, R. Srinivasan and L . Taber 35. CT-scan data a cquisition to generate b iomechanical m odels ofbone s tructures 279 M. Viceconti, C. Zannoni, F Baruffaldi, L. Pierotti, A. Toni and A. Cappello 36. Modelling o f bone-implant i nteraction 289 S. Pietruszczak, D. Inglis, and G. N. Pande 37. Numerical m odelling o f the biomechanical r eaction o f human t ibia under c omplex l oading s tate 299 /. Knets,]. Laizans and M . Dobelis VIU CONTENTS 38. Computational modelling o f influence of clamp w ith shape memory on s tress-state of bone 305 ]. j irovri,]. ] ira a nd M . Micka 39. Finite e lement m ethod f ormulation for the i nteractions b etween various elastic-viscoelastic structures in b iomechanical m odel 313 S. Piszczatowski, K. Skalski, G. Slugocki and A . Wakulicz 4. SPINE A ND V ERTEBRA M ECHANICS 40. The i nfluence of ageing o n m echanical b ehaviour o f intervertebral segment 323 E. A. Meroi, A. N. Natali and H . Trebacz 41. Three d imensional f inite element m odelling o f the mechanical behaviour o f human v ertebral c ancellous b one 331 H. Walter, E Lbath, D. Mitton, E. Gendre and C. Rumelhart 42. Computational modelling o f the intervertebral disc using A BAQUS 339 ]. S. Tan, S. H. Teoh, G. W. Hastings, C. T Tan and Y . S. Chao 43. A m edical image-based template f or pedicle s crew insertion 347 K. Van Brussel,]. Titnder Slaten, R. Van Audekercke, B. Swaelens, L. Titnden Berghe and G. Fabry 44. Mechanical p roperties o f lumbar d ura m ater a nd b iomechanics o f spinal a naesthesia p rocedure 355 R. Pietrabissa, S. Mantero, V. Quaglini, R. Contra and M . Runza 45. A t hree d imensional f inite element m odel o f a cadaveric second cervical v ertebra (the axis) 1: Modelling 363 E. C. Teo and]. P. Paul 46. Modelling the trunk r esponses to lumbar m anipulative f orces 371 M. Lee and G. P. Steven 47. Dynamic three-dimensional f inite element m odel o f a sitting m an with a detailed r epresentation o f the lumbar s pine a nd m uscles 379 B. Buck and H . P. Woelfel 48. A 3-dimensionallarge d eformation FEA o f a ligamentous C4-C7 spine u nit 387 E Heitplatz, S. L. Hartle and C. R. Gentle 49. Investigating the role of the d ynamic c urvature o f the human s pine using a computer-based m odel 395 S. L. Grilli and B. S. Acar 50. A m athematical model o f idiopathic scoliosis 405 ]. M. Brown, M. I. G. Bloor, R. A. Dickson, P. A. Millner and M .]. Wilson 51. Required stiffness distribution in a mattress for an o ptimal c urvature of the human s pine d uring b edrest 413 B. Haex,j. Titnder Slaten and R . V. Audekercke CONTENTS IX 5. RECONSTRUCTIVE S URGERY, VIRTUAL REALITY A ND IMPLANT A NALYSIS 52. Biomechanics o f the hand: use of the Sigma glove 423 E. Barnes,]. M. T. Penrose, N. W. Williams and E. A. Trowbridge 53. Computational modelling o f stress state during h and t reatment 431 ]. ] ira and]. j irova 54. Kinematic and s tress analysis of metacarpophalangeal joint i mplants 439 ]. M. T. Penrose, N. W. Williams, D. R. Hose and E. A. Trowbridge 55. 3D finite element m odelling o f a carpometacarpal i mplant c oated with h ydroxyapatite 44 7 F Lbath and C. Rumelhart 56. Computer s imulation o f a mobile b earing k nee prosthesis 455 A. Imran,].]. O'Connor a nd T. W. Lu 57. A k nee a rthroscopy training tool using v irtual r eality techniques 463 R.J. Hollands and A . D. McCarthy 58. 3D f inite element s tudy of glenoid implants in total shoulder arthroplasty 4 71 C. Barea, M. C. Hobatho, R. Darmana and M . Mansat 59. A w ireless telemetry system for measurement o f forces in massive orthopaedic i mplants i n v ivo 4 79 S.]. G. Taylor and P . S. Walker 60. Medical imaging a nd r econstruction t oolkit as a means f or designing geometrical models of human joint e lements 487 W. Swifszkowski, K. Skalski, K. Kfdzior a nd S . Piszczatowski 61. Sensitivity analysis of a flexible foot prosthesis using f inite element modelling t echniques 495 P. Allard,]. Dansereau, M.Duhaime, R. Herrera and F Trudeau 6. SOFT T ISSUE S TRUCTURES, CONTACT AND BIOFLUID MECHANICS 62. Porohyperelastic-transport-swelling f inite element m odels: applications and m aterial property d etermination f or l arge arteries 505 B. R. Simon, M. V. Kaufmann,]. Liu and A . L. Baldwin 63. Mixture models: validation and p arameter e stimation 511 C. W. Oomens,J. M. Huyghe and]. D. J anssen 64. Four c omponents m ixture theory applied to soft b iological tissue 519 A.]. H. Frijns,j. M. Huyghe and]. D. J anssen 65. Experimental v alidation of a porohyperelastic f inite element m odel of the annulus f ibrosus 527 N. A. Duncan a nd]. C. Lotz