Bone Implant Design Using Optimization Methods

Fernandes, Paulo R.; Ruben, Rui B.; Folgado, João

doi:10.1002/9783527632732.ch10

Cited by 3 publications

(4 citation statements)

References 45 publications

(58 reference statements)

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“…Methods to achieve this aim include: modification of the geometric profile of the implant, modification of its material properties, or a combination of both material and geometrical modifications. Geometric modifications include geometric variation of the stem cross section, stem length reduction, taper and/or curvature along the femoral stem, attachment of a collar or anchor at the proximal portion of the stem, and adoption of a hollow stem profile and internal grooves . Modifications of material properties include stem concepts with graded cellular materials from both cobalt chrome alloys as well as titanium alloys .…”

mentioning

confidence: 99%

Fully porous 3D printed titanium femoral stem to reduce stress-shielding following total hip arthroplasty

et al. 2016

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Current hip replacement femoral implants are made of fully solid materials which all have stiffness considerably higher than that of bone. This mechanical mismatch can cause significant bone resorption secondary to stress shielding, which can lead to serious complications such as periprosthetic fracture during or after revision surgery. In this work, a high strength fully porous material with tunable mechanical properties is introduced for use in hip replacement design. The implant macro geometry is based off of a short stem taper-wedge implant compatible with minimally invasive hip replacement surgery. […] We show that the fully porous implant with an optimized material microstructure can reduce the amount of bone loss secondary to stress shielding by 75% compared to a fully solid implant. This result also agrees with those of the in-vitro quasi-physiological experimental model and the corresponding finite element model for both the optimized fully porous and fully solid implant These studies demonstrate the merit and the potential of tuning material architecture to achieve a substantial reduction of bone resorption secondary to stress shielding

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confidence: 99%

Fully porous 3D printed titanium femoral stem to reduce stress-shielding following total hip arthroplasty

et al. 2016

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“…For load-bearing and dental implants, mathematical topology and shape optimization is quite common; see, e.g., [43,19,41]. In contrast, shape optimization for facial bone implants has barely been considered [21].…”

Section: Introductionmentioning

confidence: 99%

“…Formally, the first order optimality conditions of (19) can be derived via the Lagrangian function L(u, g, p) = J(u, g) + p (E u (u, g)). …”

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confidence: 99%

An Optimal Control Problem in Polyconvex Hyperelasticity

Lubkoll¹,

Schiela²,

Weiser³

2014

SIAM J. Control Optim.

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Abstract. We consider an implant shape design problem arising in the context of facial surgery. The aim is to find the shape of an implant that deforms the soft tissue of the skin in a desired way. Assuming sufficient regularity, we introduce a reformulation as an optimal control problem where the control acts as a boundary force. The solution of that problem can be used to recover the implant shape from the optimal state. For a simplified problem, in the case where the state can be modeled as a minimizer of a polyconvex hyperelastic energy functional, we show existence of optimal solutions and derive-on a formal level-first order optimality conditions. Finally, preliminary numerical results are presented for the original optimal control formulation.

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“…There are three ways to reduce prosthesis stiffness: optimization of geometry pro le, optimization of prosthesis material and the combination of both [10][11] . Al-Jassir et al [12] found that the femoral stems made of functional gradient materials can reduce stress shielding effect after surgery and avoid fast bone loss so as to increase the life service.…”

Section: Introductionmentioning

confidence: 99%

Optimal design and biomechanical simulation analysis of femoral stem based on trabecular bone structure

Bai

Feng

Jia

et al. 2020

Preprint

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Background:In orthopaedic clinical treatment, the rigidity mismatch between prosthesis and bone will cause stress shielding phenomenon, affecting bone growth and leading to aseptic loosening and prosthesis failure, and thus a more serious secondary fracture.Purpose:In this paper, the femur stem finite element model of human body standing on one foot and two feet was established, and the biomechanical properties of femur stems with three different structural designs were compared and analyzed, so as to provide theoretical guidance for the structural design and finite element simulation of femur stem.Method: Round-hole femoral stem model and trabecular structural model were established via 3-matic software based on solid femoral stem model. Meshing work was performed by the finite element pre-processing software Hypermesh. The finite element analysis software Abaqus is introduced to analyze the mechanical characteristics of the models for simulating the two different motion conditions of human standing on one foot and on two feet. Results and discussion: The results showed that stress concentration occurred in the femoral neck of all the prostheses with different motion conditions. The stress and displacement values of the three prosthesis models are about twice as much as those of the two-feet models when standing on one foot. The stress and displacement values of the trabecular femoral stem prosthesis were. The stress distribution of femoral stem prosthesis with trabecular bone structure was more uniform, and the force conduction was more obvious, which can effectively reduce the stress shielding effect and was beneficial to the patients’ rehabilitation.

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Bone Implant Design Using Optimization Methods

Cited by 3 publications

References 45 publications

Fully porous 3D printed titanium femoral stem to reduce stress-shielding following total hip arthroplasty

Fully porous 3D printed titanium femoral stem to reduce stress-shielding following total hip arthroplasty

An Optimal Control Problem in Polyconvex Hyperelasticity

Optimal design and biomechanical simulation analysis of femoral stem based on trabecular bone structure

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