Med Biol Eng Comput - A quasi-brittle continuum damage finite element model of the human proximal femur based on element deletion.

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Resumo

In this paper, a simple and practical finite element (FE) model coupled to a quasi-brittle damage law to describe the initiation and progressive propagation of multiple cracks based on element deletion is developed to predict the complete force-displacement curve and the fracture pattern of a human proximal femur under quasi-static load. The motivation of this work was to propose a FE model for possible clinical use with a good compromise between complexity and capability of the simulation. The model considers a limited number of parameters that can predict proximal femur fracture in more adequate physical terms than criteria-based fracture models. Based on experimental results, different damage laws for cortical and trabecular bone are proposed to describe inelastic damage accumulation under excessive load. When the damage parameter reaches its critical value inside an element of the mesh, its stiffness matrix is set to zero, leading to the redistribution of the stress state in the vicinity of the damaged zone (crack initiation). Once a crack is initiated, the propagation direction is simulated by the propagation of the broken elements of the mesh. To illustrate the potential of the proposed approach, the left femur of a male (age 61) previously investigated by Keyak and Falkinstein (Model B: male, age 61) was simulated till complete fracture under one-legged stance quasi-static load. The proposed finite element model leads to more physical results concerning the shape of the force-displacement curve (yielding and fracturing) and the profile of the fractured edge.

Resumo Limpo

paper simpl practic finit element fe model coupl quasibrittl damag law describ initi progress propag multipl crack base element delet develop predict complet forcedisplac curv fractur pattern human proxim femur quasistat load motiv work propos fe model possibl clinic use good compromis complex capabl simul model consid limit number paramet can predict proxim femur fractur adequ physic term criteriabas fractur model base experiment result differ damag law cortic trabecular bone propos describ inelast damag accumul excess load damag paramet reach critic valu insid element mesh stiff matrix set zero lead redistribut stress state vicin damag zone crack initi crack initi propag direct simul propag broken element mesh illustr potenti propos approach left femur male age previous investig keyak falkinstein model b male age simul till complet fractur oneleg stanc quasistat load propos finit element model lead physic result concern shape forcedisplac curv yield fractur profil fractur edg

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