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 analysis of laminated plates using distinct advanced discretization meshless techniques

J Belinha, AL Araújo, AJM Ferreira, L Dinis… - Composite …, 2016 - Elsevier
Composite laminated plates are structural elements with a high strength/weight ratio, being
very popular in the aeronautic industry. This work analyses such structural elements using …

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 …

Analysis of thick plates by the natural radial element method

J Belinha, L Dinis, RMN Jorge - International Journal of Mechanical …, 2013 - Elsevier
An innovative numerical approach, combining the simplicity of low-order finite elements
connectivity with the geometric flexibility of Meshless methods, is extended to the elastostatic …

The numerical simulation of crack propagation using radial point interpolation meshless methods

LDC Ramalho, J Belinha, R Campilho - Engineering Analysis with …, 2019 - Elsevier
In this work, a new crack propagation prediction algorithm is combined with two distinct
meshless methods–the Radial Point Interpolation Method (RPIM) and the Natural Neighbor …

Extending radial point interpolating meshless methods to the elasto-plastic analysis of aluminium alloys

BV Farahani, J Belinha, R Amaral, PJ Tavares… - … Analysis with Boundary …, 2019 - Elsevier
This study performs an elasto-plastic numerical analysis of an aluminium alloy using two
efficient meshless methods. The obtained numerical solutions are validated using …

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 …

Meshfree numerical approach based on the Finite Pointset Method for static linear elasticity problems

FR Saucedo-Zendejo, EO Resendiz-Flores - Computer Methods in Applied …, 2020 - Elsevier
In this work a promising meshfree numerical approach is extended and implemented for the
first time in the field of linear static elasticity. A real meshfree method, the so called Finite …

The natural neighbor radial point interpolation method extended to the crack growth simulation

J Belinha, JMC Azevedo, L Dinis… - International Journal of …, 2016 - World Scientific
In the present work, the Natural Neighbor Radial Point Interpolation Method (NNRPIM) is
used to simulate the crack growth phenomenon in brittle materials. In order to discretize the …

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 …