# Effect of plate position relative to bending direction on the rigidity of a plate osteosynthesis. A theoretical analysis.

### Details

Serval ID

serval:BIB_BE6B16804A69

Type

**Article**: article from journal or magazin.

Collection

Publications

Fund

Title

Effect of plate position relative to bending direction on the rigidity of a plate osteosynthesis. A theoretical analysis.

Journal

Injury

ISSN

0020-1383 (Print)

ISSN-L

0020-1383

Publication state

Published

Issued date

2000

Volume

31

Number

Suppl. 3

Pages

C14-C20

Language

english

Notes

Publication types: Journal Article ; Research Support, Non-U.S. Gov'tPublication Status: ppublish

Abstract

Mechanical unloading of the plated bone segment is observed after plate osteosynthesis because the implant takes over a part of the physiological loading. Strain reduction in the bony tissue depends on the rigidity of the plate (cross-sectional area, geometrical form, and modulus of elasticity). The aim of the present study was to calculate theoretically the effect of plate position relative to bending direction on the overall bending stiffness of the composite system plate-bone. To calculate the rigidity, a cylindrical bone model with mechanical characteristics similar to a sheep tibia and a rectangular plate cross-section corresponding to a DC-plate with either a modulus of elasticity of steel or titanium was used. Calculations under different bending directions were performed according to the laws of the linear bending theory and the composite beam theory. The bending stiffness of a plate osteosynthesis reaches a minimum and a maximum respectively, in cases in which the bending moment acts in the direction of the main axis of the area moment of inertia of the plate. The minimum is present with the plate bent vertically, the maximum with the plate bent horizontally, e.g. on the tension side of the composite system--on the assumption that the bone structure opposite the plate is capable of withstanding compressive loading. For steel and titanium plates, factors of 2 and 2.25 respectively were calculated between the minimum and the maximum bending stiffnesses of the osteosynthesis. The bending rigidity of the plate alone has only a minimal effect on the total stiffness of the osteosynthesis. With a plate bent vertically, the difference between steel and titanium plates was 18%, with the plate bent horizontally (situated on the tension side), it was only 7%. The bending stiffness of a plate osteosynthesis depends on the cross-section, the geometrical form, and the modulus of elasticity of the plate, as well as on the plate position relative to the bending direction of the composite system. The modulus of elasticity of the plate is relatively unimportant, while with a given plate the individual plate position relative to the bending direction is of crucial importance. Thus, changing the modulus of elasticity of the plate cannot solve the problem of implant induced unloading of the bone cortex because the bending stiffness of the composite system depends much more on the plate position relative to the bending direction.

Keywords

Animals, Biomechanics, Bone Plates, Fracture Fixation, Internal/methods, Models, Theoretical, Sheep, Stainless Steel, Stress, Mechanical, Titanium

Pubmed

Web of science

Create date

26/11/2012 19:19

Last modification date

18/11/2016 15:41