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Bone Tissue Remodelling Analysis

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Meshless Methods in Biomechanics

Part of the book series: Lecture Notes in Computational Vision and Biomechanics ((LNCVB,volume 16))

Abstract

In this chapter the proposed bone tissue remodelling algorithm using the NNRPIM is applied to several problems. First a two-dimensional benchmark example is used to validate the bone trabecular remodelling. In this example distinct material laws are studied as well as the influence of the model nodal discretization and the anisotropy of the biomaterial. Next, the study is extended to the three-dimensional analysis, where a test problem based in another benchmark example is presented. Afterwards, it is numerically simulated the bone tissue remodelling occurring in natural bones. Thus, the calcaneus bone is simulated using a two-dimensional approach, for this example the obtained trabecular bone architecture is in very good agreement with the one that can be found in calcaneus bone X-ray images. The same quality results were found in the two-dimensional approach of the femur example. Additionally, a three-dimensional analysis of the femur is presented. Ending this section, it is studied a two-dimensional model of the maxillary central incisor constructed using the available data in clinical literature. The complete elasto-static analysis of the incisor/maxillary structure, using the NNRPIM, is evaluated and then the nonlinear iterative local NNRPIM analysis of the maxillary bone tissue remodelling is performed. The last section of the present chapter shows the bone tissue remodelling due to the insertion of implants. First it is studied the bone tissue remodelling process of the premolar region of the mandible due to the inclusion of an implant system. Then, the bone tissue remodelling response to the insertion of a femoral implant, after an idealized subcapital or transcervical neck fracture, is studied.

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Correspondence to Jorge Belinha .

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Belinha, J. (2014). Bone Tissue Remodelling Analysis. In: Meshless Methods in Biomechanics. Lecture Notes in Computational Vision and Biomechanics, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-06400-0_7

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  • DOI: https://doi.org/10.1007/978-3-319-06400-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06399-7

  • Online ISBN: 978-3-319-06400-0

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