Abstract-Progressive loosening of bone fixation screws is a welldocumented phenomenon, induced by stress shielding and subsequent adaptive bone remodeling which results in bone loss around the screw. A set of two-dimensional computational (finite element) models was developed in order to test the effect of various screw profiles on the predicted extent of bone resorption. An algorithm simulating local bone adaptation to mechanical stimuli was developed and subsequently used to evaluate the biomechanical performances of the different screw profiles analyzed, i.e., triangular, rectangular and trapezoidal thread shapes. This remodeling algorithm predicted local bone gain or loss in the vicinity of the screw as a response to the resulted mechanical stress distribution. A dimensionless set of stress intensity parameters (SIP) was developed to quantify the bone -screw stress transfer, enabling a convenient rating of different screw performances according to the nature of expected adaptation of the surrounding bone. The results indicated that a wide rectangular screw profile is of superior biomechanical compatibility with bone compared to the other profile types. The present work demonstrated that bone remodeling computer simulations can be used as a powerful tool for evaluation of different design parameters of fixative screws, such as geometry, material characteristics and even coatings. Keywords -Bone modeling/remodeling, adaptation, screw design
I. INTRODUCTIONBone screws are well-known and clinically accepted alternatives for plate fixation of bone fractures or for stabilizing bone transplants. However, since these screws remain attached to the bony tissue after it was healed, they may also diminish its strength and stiffness: the significantly stiffer metallic screws (elastic modulus of 100 to 200 GPa) carry most of the shared load, causing the adjacent bone (elastic modulus of 1-20 GPa) to be atrophied in response to the diminished load it is carrying. This effect of metallic bone screws on the bony tissue in the vicinity of the screw is called "stress shielding". The aim of this study was to characterize screw designs that provide optimal stress transfer to the surrounding bone, and, thereby, alleviate commonly observed conditions of loosening and failure of plate fixations due to stress shielding [1], [2].
II. METHODOLOGYTwo finite element two -dimensional (2D) model types of the bone-screw interaction were developed. The first is an idealized axisymmetrical model of a bone cylinder with an outer cortical surface and an inner trabecular bulk (Fig. 1). A screw is inserted perpendicularly to the bone surface, loading the modeled bone with axial tensile force and screw-to-bone contact conditions. This not only permits easy creation of models, but also provides a tool for basic comparisons of screw performances, by isolating the effect of screw engineering design parameters. Other structural and physiological effects (e.g. those of the complex musculoskeletal loading system) can thereby be excluded. The second 2D ...