The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models

D Schillinger, M Ruess - Archives of Computational Methods in …, 2015 - Springer
The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

Meshfree and particle methods in biomechanics: Prospects and challenges

LW Zhang, AS Ademiloye, KM Liew - Archives of Computational Methods …, 2019 - Springer
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 …

The finite cell method for bone simulations: verification and validation

M Ruess, D Tal, N Trabelsi, Z Yosibash… - … and modeling in …, 2012 - Springer
Standard methods for predicting bone's mechanical response from quantitative computer
tomography (qCT) scans are mainly based on classical h-version finite element methods …

Bone tissue remodelling analysis considering a radial point interpolator meshless method

J Belinha, RMN Jorge, L Dinis - Engineering Analysis with Boundary …, 2012 - Elsevier
In this work the natural neighbour radial point interpolation method (NNRPIM), an improved
meshless method, is extended to the bone remodelling analysis. A biomechanical model for …

Computed-tomography-based finite-element models of long bones can accurately capture strain response to bending and torsion

B Varghese, D Short, R Penmetsa, T Goswami… - Journal of …, 2011 - Elsevier
Finite element (FE) models of long bones constructed from computed-tomography (CT) data
are emerging as an invaluable tool in the field of bone biomechanics. However, the …

Phase‐field boundary conditions for the voxel finite cell method: surface‐free stress analysis of CT‐based bone structures

L Nguyen, S Stoter, T Baum, J Kirschke… - … journal for numerical …, 2017 - Wiley Online Library
The voxel finite cell method uses unfitted finite element meshes and voxel quadrature rules
to seamlessly transfer computed tomography data into patient‐specific bone discretizations …

The Biomechanical Analysis of Tibial Implants Using Meshless Methods: Stress and Bone Tissue Remodeling Analysis

A Pais, C Moreira, J Belinha - Designs, 2024 - mdpi.com
Total knee arthroplasty (TKA) stands out as one of the most widely employed surgical
procedures, establishing itself as the preferred method for addressing advanced …

The meshless methods in the bone tissue remodelling analysis

J Belinha, L Dinis, RMN Jorge - Procedia Engineering, 2015 - Elsevier
This work shows the advantages of using meshless methods to study the bone tissue
remodelling phenomenon. The meshless method used in this work is the Natural Neighbour …

Multiscale modelling and nonlinear finite element analysis as clinical tools for the assessment of fracture risk

D Christen, DJ Webster… - … Transactions of the …, 2010 - royalsocietypublishing.org
The risk of osteoporotic fractures is currently estimated based on an assessment of bone
mass as measured by dual-energy X-ray absorptiometry. However, patient-specific finite …

The analysis of the bone remodelling around femoral stems: A meshless approach

J Belinha, LMJS Dinis, RMN Jorge - Mathematics and Computers in …, 2016 - Elsevier
In this work the bone tissue remodelling analysis of the femur bone due to the insertion of a
stem is analysed. The innovation of this numerical application lies on the use of an efficient …