Multiscale modeling of cancellous bone considering full coupling of mechanical, electric and magnetic effects
Mischa Blaszczyk, Klaus Hackl
Abstract
Modeling of cancellous bone has important applications in the detection and treatment of fatigue fractures and diseases like osteoporosis. In this paper, we present a fully coupled multiscale approach considering mechanical, electric and magnetic effects by using the multiscale finite element method and a two-phase material model on the microscale. We show numerical results for both scales, including calculations for a femur bone, comparing a healthy bone to ones affected by different stages of osteoporosis. Here, the magnetic field strength resulting from a small mechanical impact decreases drastically for later stages of the disease, confirming experimental research.
Topics & Concepts
Multiscale modelingCancellous boneFinite element methodMicroscale chemistryOsteoporosisMaterials scienceMagnetic fieldFemurCoupling (piping)Electric fieldFracture (geology)Structural engineeringComposite materialPhysicsMedicineEngineeringMathematicsPathologyMathematics educationComputational chemistryChemistryEndocrinologySurgeryQuantum mechanicsComposite Material MechanicsRock Mechanics and ModelingAdvanced Mathematical Modeling in Engineering