title: Mathematical modeling of the stress strain-strain rate behavior of bone using the Ramberg-Osgood equation.
abstract: The Ramberg-Osgood equation is used to model the viscoplastic properties of compact bone. Because of the exponential nature of this equation a special optimization technique is used to curve fitting. Results are presented for the application of this equation to three sets of strain rate dependent stress-strain curves from the literature. Good to very good curve fits are achieved. This technique holds promise both as a relatively simple means of quantifying the viscoplastic nature of compact bone response and also as a mechanism for mathematically modeling that behavior.
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D001842:Bone and Bones / Q000502:physiology*; D002417:Cattle; D004548:Elasticity; D006801:Humans; D008954:Models, Biological; D013314:Stress, Mechanical; D014783:Viscosity