Topology Optimization for Human Proximal Femur Considering Bi-modulus Behavior of Cortical Bones

Cai, Kun; Luo, Zhen; Wang, Yu

doi:10.1007/978-3-319-08377-3_26

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…This is a wide spread concept (c.f. [47], or some quite recent examples [48], [49], [50], [51]). However, such approaches require some a priori knowledge of the positions of these uncertain loads; anti-optimization problems may have to be solved to identify worst cases; and many load cases (c.f.…”

Section: Discussionmentioning

confidence: 99%

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

Aage

Westermann

et al. 2018

IEEE Trans. Visual. Comput. Graphics

405

198

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Porous structures such as trabecular bone are widely seen in nature. These structures are lightweight and exhibit strong mechanical properties. In this paper, we present a method to generate bone-like porous structures as lightweight infill for additive manufacturing. Our method builds upon and extends voxel-wise topology optimization. In particular, for the purpose of generating sparse yet stable structures distributed in the interior of a given shape, we propose upper bounds on the localized material volume in the proximity of each voxel in the design domain. We then aggregate the local per-voxel constraints by their p-norm into an equivalent global constraint, in order to facilitate an efficient optimization process. Implemented on a high-resolution topology optimization framework, our results demonstrate mechanically optimized, detailed porous structures which mimic those found in nature. We further show variants of the optimized structures subject to different design specifications, and we analyze the optimality and robustness of the obtained structures.

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Section: Discussionmentioning

confidence: 99%

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

Aage

Westermann

et al. 2018

IEEE Trans. Visual. Comput. Graphics

405

198

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show abstract

“…Topology optimization distributes the material in a design domain through the minimization of the strain energy; as a result, this material redistribution produces an optimal configuration for low energy consumption [8]. This theory has been widely used in many engineering and biology fields, such as the architecture of the proximal femur [9–12] as well as in the design of scaffolds, implants, bone replacements, and prostheses [13–16].…”

Section: Introductionmentioning

confidence: 99%

Computational model for the patella onset

et al. 2018

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The patella is a sesamoid bone embedded within the quadriceps tendon and the patellar tendon that articulates with the femur. However, how is it formed is still unknown. Therefore, here we have evaluated, computationally, how three theories explain, independently, the patella onset. The first theory was proposed recently, in 2015. This theory suggested that the patella is initially formed as a bone eminence, attached to the anterodistal surface of the femur, while the quadriceps tendon is forming. Thereafter, a joint develops between the eminence and the femur, regulated by mechanical load. We evaluated this theory by simulating the biochemical environment that surrounds the tendon development. As a result, we obtained a patella-like structure embedded within the tendon, especially for larger flexion angles. The second and third theories are the most accepted until now. They state that the patella develops within tendons in response to the mechanical environment provided by the attaching muscles. The second theory analyzed the mechanical conditions (high hydrostatic stress) that (according to previous Carter theories) lead to the differentiation from tendon to fibrocartilage, and then, to bone. The last theory was evaluated using the self-optimizing capability of biological tissue. It was considered that the development of the patella, due to tissue topological optimization of the developing quadriceps tendon, is a feasible explanation of the patella appearance. For both theories, a patella onset was obtained as a structure embedded within the tendon. This model provided information about the relationship between the flexion angle and the patella size and shape. In conclusion, the computational models used to evaluate and analyze the selected theories allow determining that the patella onset may be the result of a combination of biochemical and mechanical factors that surround the patellar tendon development.

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A Data-Fusion Method for Uncertainty Quantification of Mechanical Property of Bi-Modulus Materials: An Example of Graphite

Zhang²,

et al. 2023

Journal of Applied Mechanics

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The different elastic properties of tension and compression are obvious in many engineering materials, especially new materials. Materials with this characteristic, such as graphite, ceramics, and composite materials, are called bi-modulus materials. Their mechanical properties such as Young's modulus have randomness in tension and compression due to different porosity, microstructure, etc. To calibrate the mechanical properties of bi-modulus materials by bridging FEM simulation results and scarce experimental data, the paper presents a data-fusion computational method. The FEM simulation is implemented based on Parametric Variational Principle (PVP), while the experimental result is obtained by Digital Image Correlation (DIC) technology. To deal with scarce experimental data, Maximum Entropy Principle (MEP) is employed for the uncertainty quantification (UQ) and calibration of material parameters and responses, which can retain the original probabilistic property of a priori data. The non-parametric p-box is used as a constraint for data fusion. The method presented in this paper can quantify the mechanical properties of materials with high uncertainty, which is verified by a typical example of bi-modulus graphite. It is possible to find applications in the real-time estimation of structural reliability by combining with digital twin technology in the future.

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Topology Optimization for Human Proximal Femur Considering Bi-modulus Behavior of Cortical Bones

Cited by 3 publications

References 24 publications

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

Computational model for the patella onset

A Data-Fusion Method for Uncertainty Quantification of Mechanical Property of Bi-Modulus Materials: An Example of Graphite

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