Numerical analysis of dental implants using a new advanced discretization technique

Duarte, Hugo; Andrade, J.R.; Dinis, L.M.J.S.; Jorge, R.M. Natal; Belinha, J.

doi:10.1080/15376494.2014.987410

Cited by 14 publications

(6 citation statements)

References 40 publications

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“…Furthermore, Belinha et al [144][145][146] predicted bone density distributions on the mandible and maxillary bones as a result of the presence of dental implants, by means of a topology optimization model built on the deformation energy method using Carter's remodeling algorithm [147] within the NNRPIM meshless technique framework. Also, using the NNRPIM meshless method, Duarte et al [148,149] studied a prosthetic system consisting of two implants connected with a bar using a 2D linear elastic stress-strain model. The anisotropic behavior of the cortical bone was simplified and implemented as an isotropic condition; however, the obtained results were similar to those reported in the literature using In a more recent study, Belinha et al [155] numerically examined the remodeling of the bone tissue surrounding the femoral stem, aiming to predict the necrosis of the femoral head and understand the mechanical solicitations causing the pathology, using the NNRPIM meshless method.…”

Section: Bone Remodeling and Dental Studiesmentioning

confidence: 99%

Meshfree and Particle Methods in Biomechanics: Prospects and Challenges

Zhang

Ademiloye

Liew

2018

Arch Computat Methods Eng

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The use of meshfree and particle methods in the field of bioengineering and biomechanics has significantly increased. This may be attributed to their unique abilities to overcome most of the inherent limitations of mesh-based methods in dealing with problems involving large deformation and complex geometry that are common in bioengineering and computational biomechanics in particular. This review article is intended to identify, highlight and summarize research works on topics that are of substantial interest in the field of computational biomechanics in which meshfree or particle methods have been employed for analysis, simulation or/and modeling of biological systems such as soft matters, cells, biological soft and hard tissues and organs. We also anticipate that this review will serve as a useful resource and guide to researchers who intend to extend their work into these research areas. This review article includes 333 references. Highlights  We present an up to date review of meshfree and particle methods, including their advantages and limitations.  We comprehensively discuss past and recent applications of meshfree and particle methods in bioengineering and biomechanics.  We identify research areas, directions, and opportunities for the application of meshfree and particle methods in bioengineering and biomechanics.

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Section: Bone Remodeling and Dental Studiesmentioning

confidence: 99%

Meshfree and Particle Methods in Biomechanics: Prospects and Challenges

Zhang

Ademiloye

Liew

2018

Arch Computat Methods Eng

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“…Recently, developed meshless methods have shown a wide range of applications such as the analysis of dental implants (Duarte et al ., 2015), 3D contact problems (Qian et al ., 2014), crack path prediction (Azevedo et al ., 2015), crack growth modelling in elastic solids (Nguyen et al ., 2014), non-local constitutive damage models (Farahani et al ., 2016), bone remodelling (Belinha, 2014), elastoplastic analyses (Dinis et al ., 2009), inelastic analysis of 2D solids (Dai et al ., 2006), the static (Belinha et al ., 2016; Rodrigues et al ., 2020a, b, 2021a; Belinha et al ., 2013; Rodrigues et al ., 2021b) and dynamic (Phan-Dao, 2016; Pilafkan et al ., 2013; Phan-Dao et al ., 2016) analysis of composite plates and shells or the analysis of a composite RVE model (Wang et al. , 2017).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of the extrusion process of viscoplastic materials using a radial point interpolation method

Rodrigues,

Belinha,

Natal Jorge

2023

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PurposeFused Filament Fabrication (FFF) is an extrusion-based manufacturing process using fused thermoplastics. Despite its low cost, the FFF is not extensively used in high-value industrial sectors mainly due to parts' anisotropy (related to the deposition strategy) and residual stresses (caused by successive heating cycles). Thus, this study aims to investigate the process improvement and the optimization of the printed parts.Design/methodology/approachIn this work, a meshless technique – the Radial Point Interpolation Method (RPIM) – is used to numerically simulate the viscoplastic extrusion process – the initial phase of the FFF. Unlike the FEM, in meshless methods, there is no pre-established relationship between the nodes so the nodal mesh will not face mesh distortions and the discretization can easily be modified by adding or removing nodes from the initial nodal mesh. The accuracy of the obtained results highlights the importance of using meshless techniques in this field.FindingsMeshless methods show particular relevance in this topic since the nodes can be distributed to match the layer-by-layer growing condition of the printing process.Originality/valueUsing the flow formulation combined with the heat transfer formulation presented here for the first time within an in-house RPIM code, an algorithm is proposed, implemented and validated for benchmark examples.

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“…In comparison with the FEM, shape functions used in the meshless method studied in this work (the NNRPIM) have virtually a higher order, allowing a higher continuity and reproducibility. 5 Despite being a recently developed meshless method (it only appeared in 2008 6 ), the NNRPIM has been used in a wide range of applications such as the analysis of composite laminated plates, [6][7][8][9][10] crack path prediction, 11 bone tissue remodelling, 12,13 3D contact problems, 14 homogenization techniques, 15,16 elastoplastic problems, 17 analysis of dental implants, 18 etc. In this work, as stated before, the NNRPIM is used to study the elastoplastic analysis of 3D-printed thermoplastics using a modified Hill yield criterion.…”

Section: Introductionmentioning

confidence: 99%

The elasto-plastic analysis of 3D-printed thermoplastics using the NNRPIM and a modified hill yield criterion

Rodrigues

Belinha

Jorge

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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The Fused Filament Fabrication is a 3D printing technology that allows the production of components and structures with complex geometries at low-cost, using thermoplastic materials as feedstock. This additive manufacturing technique is not yet extensively used in industries mainly due to parts’ anisotropy – which is the consequence of the deposition strategy – and residual stresses, caused by successive heating cycles. Thus, these topics have great influence on the non-linear mechanical performance of 3D printed parts. Additionally, the materials used in the Fused Filament Fabrication have distinct mechanical behaviours under tensile and compression loads. This work proposes a computational framework – using a meshless method as the numeric discretization technique, the Natural Neighbour Radial Point Interpolation method – capable to analyse the elastoplastic response of ductile materials showing distinct compressive and tensile responses, through the implementation of a modified version of the Hill yield surface. In those conditions, 3D-printed specimens of polylactic acid are tested experimentally and numerically using standard tensile and compression tests. The numerical approach is validated by comparing the numerical and the experimental curves. Then, the accuracy of the methodology is proved and the purpose of using the modified Hill yield criterion is clearly shown using a benchmark example.

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Numerical analysis of dental implants using a new advanced discretization technique

Cited by 14 publications

References 40 publications

Meshfree and Particle Methods in Biomechanics: Prospects and Challenges

Meshfree and Particle Methods in Biomechanics: Prospects and Challenges

Numerical simulation of the extrusion process of viscoplastic materials using a radial point interpolation method

The elasto-plastic analysis of 3D-printed thermoplastics using the NNRPIM and a modified hill yield criterion

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