A new software tool (VA-BATTS) to calculate bending, axial, torsional and transverse shear stresses within bone cross sections having inhomogeneous material properties

摘要

Introduction: This study introduces, validates and demonstrates a new automated software tool (VA-BATTS) to calculate bone stresses within a bone cross section subjected to bending, axial, torsional and transverse shear far-field loading conditions, using quantitative computed tomography (QCT) data. Methods: A QCT image is imported and processed to generate a 2D finite element (FE) mesh of the bone with inhomogeneous (CT-based) transversely isotropic material properties. Bending and axial stresses are determined using inhomogeneous beam theory; torsional and transverse shear stresses are calculated using a new 2D FE formulation. Results: Validation studies show excellent agreement between results obtained using VA-BATTS and results obtained using analytical 2D models and inhomogeneous 3D FE models. Discussion: Out-of-plane bone stresses can be accurately calculated using a 2D analysis. Material inhomogeneity can have a marked effect on predicted stresses. In three-point bending experiments, transverse shear may present important contributions to the failure potential.