Plate and Bone Stresses for Single- and Double-Plated Femoral Fractures. D.R. Carter and R. Vasu

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1 Plate and Bone Stresses for Single- and Double-Plated Femoral Fractures D.R. Carter and R. Vasu J. Biomech 14: 55-62, 1981

2 Loading Koch Conditions

3 Intact Trans-cortical stress

4 Composite Beam Representation

5 Strain Distribution

6 Gap Contact Healed Single Plate Stresses

7 Gap Contact Healed Double Plate Stresses

8 Stress Fields in Unplated and Plated Canine Femora, from In-Vivo Strain Measurements D.R. Carter, R. Vasu, D. Spengler, R. Dueland J. Biomech 14: 63-70, 1981

9 Gage Placements In-Plane FEA

10 t* Strains (Recorded) Loads (Solved)

11 Intact Bone Stresses

12 Composite Beam Theory Stresses for Plated Bone

13 Changes in Stress

14 16 Week Histology

15 Discussion Site-specific agreement/disagreement Single loading instant Toward quantifying Wolff s Law?

16 Role of Interfragmentary Strain in Fracture Healing: Ovine Model of an Healing Osteotomy E.J. Cheal, K.A. Mansmann, A.M. DiGioia, W.C. Hayes, S.M. Perren J. Orthop. Res. 9: , 1991

17 Hydraulic Actuator Experimental Preparation

18 FEA Zoning of Gap

19 Osteogenic Index I = (σ s + k σ d ) / (1 + k) k = 0.5, 2.0

20 Strain Evolution

21 Global Healing Histology

22 3 wk 4 wk 1 wk 2 wk

23 Gap Deformations Poisson Effect

24 193% Gap Principal Strains 144%?

25 Gap Stress Distributions

26 Osteogenic Index Distribution

27 Resorption vs. Octahedral Stress

28 Resorption vs. Hydrostatic Stress

29 Examples of Local Healing Histology

30 Local Healing Histology

31 Locations of Resorption

32 Discussion Resorption for tolerable gage length? Experimental apparatus failure: Strain control early Load control late FEA: nonuniform strain in gap No consistent numerical relation with histology

33 Mechanical and Morphological Properties of Bone Beneath Internal Fixation Plates of Differing Rigidity Lutz Claes J. Orthop. Res. 7: , 1989.

34 Post-Op

35 24 weeks

36 Specimen Harvest

37 Stress-strain comparison

38 Cross-sectional Microradiographs

39 Elastic Modulus

40 Cross-sectional Morphology

41 Femoral Diameter

42 Porosity & Modulus Distribution

43 Discussion 7% net area decrease for steel vs. CFC Modulus differential: 27% More severe change under plates Newer osteons are less mineralized More new osteons where turnover is high Argued that CFC had sufficient rigidity to stabilize the fracture and minimized stress protection.

44 Quantitative Measures for Fracture Healing: An In Vitro Biomechanical Study A. Foux, R.C. Black, H.K. Uhtoff J. Biomech. Engr. 112: , 1990

45 Variable-Direction Flexure Set-up

46 Idealized Model EI = k (P / y)

47 Contralateral Symmetry Rigidity Profiles

48 Best-fit Ellipse Semi-Axes Reproducibility

49 Healed Rigidity Profiles

50 Healed Rigidity Profiles

51 Healing Efficiency

52 A Retrospective Analysis of Plate Contouring in Using Conventional 4.5 Narrow Dynamic Compression Plates M.A. Frankel, J. Cordey, M.D. Frankle, F. Baumgart, S. Perren J. Orthop. Trauma 8: 59-63, 1994

53 Plate Length vs. Curvature Radius

54 Distribution of Plate Lengths

55 Distribution of Plate Curvature Radii

56 Distribution of Plate Bends

57 Strain, based on Flexural Elongation

58 Screw-Hole Influence on Bending LC-DCP DCP

59 Strain (%) Yield Behavior

60 Internal Fixation of the Distal Humerus: A Biomechanical Comparison of Methods D.L. Helfet, R.N. Hotchkiss J. Orthop. Trauma 4: , 1990

61 Fracture Model

62 Crossed 4.5 mm Malleolar Screws

63 3.5 mm Y Plate

64 3.5 mm Reconstruction Plates at Right Angles

65 1/3 Tubular Plates at Right Angles

66 1/3 Tubular Plate Medially and 3.5 mm Reconstruction Plate Posterio-Laterally

67 Fixation # of Specimens Malleolar 3 Y-Plate 3 Reconstruction 3 Plate Tubular Plate 3 Mixed Plates 2

68 Specimen Loading

69 Fatigue Cycling in Extension

70 Results of fatigue and rigidity testing Rigidity (N/mm) Fatigue failure(# cycles) a Flexion Extension Malleolar screws 113( ) 111(+-16.3) 75.5 (+-15) Y-plates 124(+-15.1) 167(+-13) 223 (+-124) Reconstruction plate 313(+-18) 447(+-164) 4,148 (+-315) 1/3 tubular plate 206(+-63) 229(+-39) 3,559 (+-471) Mixed plates b 215(+-71) 282(+-81) 3,471 (+-365) a Number of cycles before permanent deformation > 1mm b Two specimens (+-) represents two SD s Construct Comparisons

71 Ultimate Properties of Intramedullary Nails M. Martens, V.H. Frankel, A.H. Burstein Injury 4: 18-24, 1973

72 IM Nail Loading Complications: Infection Migration: 2-7% Plastic Bending: 4-5% Fatigue Fx: 1-2% Fx Mal-Union: 4-5%

73 Nail Designs

74 Femur 13 mm A,D: Kuntscher B,E: Schneider C,F: Diamond mm Load-Deformation Comparisons

75 Permanent Deformation

76 Four-Point Bending

77 Deflection vs. Diameter Deformation

78 Yield Points

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