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Computer Methods in Biomechanics and Biomedical Engineering Volume 16, 2013 - Issue 11
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Article

A meshless microscale bone tissue trabecular remodelling analysis considering a new anisotropic bone tissue material law

Jorge BelinhaIDMEC, Institute of Mechanical Engineering, Rua Dr. Roberto Frias, 4200-465, Porto, PortugalCorrespondence[email protected]
,
Renato M. Natal JorgeFaculty of Engineering of the University of Porto (FEUP), Rua Dr. Roberto Frias, 4200-465, Porto, Portugal
&
Lúcia M.J.S. DinisFaculty of Engineering of the University of Porto (FEUP), Rua Dr. Roberto Frias, 4200-465, Porto, Portugal
Pages 1170-1184 | Received 04 Jul 2011, Accepted 02 Jan 2012, Published online: 06 Feb 2012

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M. Marques, J. Belinha, A. F. Oliveira, M. C. Manzanares Céspedes & R. M Natal Jorge. (2020) Application of an enhanced homogenization technique to the structural multiscale analysis of a femur bone. Computer Methods in Biomechanics and Biomedical Engineering 23:12, pages 868-878.
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Articles from other publishers (35)

Rafael B.deR. Borges, Flávio C. Colman, Nicholas D.P. da Silva, Gabriela W.O. Dicati, José E. Gubaua & Chi-Wang Shu. (2023) Approximated decompositions for computational continuum mechanics. Journal of Computational Physics 495, pages 112576.
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Ana Pais, Jorge Lino Alves & Jorge Belinha. (2023) Predicting trabecular arrangement in the proximal femur: An artificial neural network approach for varied geometries and load cases. Journal of Biomechanics 161, pages 111860.
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Elizabeth Dimbath, Anup Pant & Ali Vahdati. 2023. Digital Human Modeling and Medicine. Digital Human Modeling and Medicine 493 513 .
Andy H. ChoiAndy H. Choi. 2023. Bone Remodeling and Osseointegration of Implants. Bone Remodeling and Osseointegration of Implants 7 21 .
A.I. Pais, J.L. Alves & J. Belinha. (2022) A bio-inspired remodelling algorithm combined with a natural neighbour meshless method to obtain optimized functionally graded materials. Engineering Analysis with Boundary Elements 135, pages 145-155.
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Gabriela Wessling Oening Dicati, José Eduardo Gubaua & Jucélio Tomás Pereira. (2022) Optimum parameters for each subject in bone remodeling models: A new methodology using surrogate and clinical data. European Journal of Mechanics - A/Solids 91, pages 104409.
Crossref
A. I. Pais, J. L. Alves & J. Belinha. (2021) Using a radial point interpolation meshless method and the finite element method for application of a bio-inspired remodelling algorithm in the design of optimized bone scaffold. Journal of the Brazilian Society of Mechanical Sciences and Engineering 43:12.
Crossref
M.M.A. Peyroteo, J. Belinha & R.M. Natal Jorge. (2021) Predicting bone remodeling using a mechano-biological mathematical model combined with a natural neighbor meshless method. Engineering Analysis with Boundary Elements 132, pages 437-445.
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Anup Pant, Elliot Paul, Glen L. Niebur & Ali Vahdati. (2021) Integration of mechanics and biology in computer simulation of bone remodeling. Progress in Biophysics and Molecular Biology 164, pages 33-45.
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Ajay Kumar & Rajesh Ghosh. (2021) Particularly optimized enriched element-free Galerkin method (POE-EFGM) for orthotropic fracture analysis of cortical bone. Engineering Fracture Mechanics 254, pages 107943.
Crossref
M. M. A. Peyroteo, J. Belinha & R. M. Natal Jorge. (2021) Load adaptation through bone remodeling: a mechanobiological model coupled with the finite element method. Biomechanics and Modeling in Mechanobiology 20:4, pages 1495-1507.
Crossref
Ana Pais, Jorge Lino Alves & Jorge Belinha. (2021) Design of functionally graded gyroid foams using optimization algorithms and the finite element method. The International Journal of Advanced Manufacturing Technology 114:3-4, pages 725-739.
Crossref
M.M.A. Peyroteo, J. Belinha & R.M. Natal Jorge. (2021) A mathematical biomechanical model for bone remodeling integrated with a radial point interpolating meshless method. Computers in Biology and Medicine 129, pages 104170.
Crossref
M. C. Marques, Jorge Belinha, R. Natal Jorge & A. F. Oliveira. 2020. The Computational Mechanics of Bone Tissue. The Computational Mechanics of Bone Tissue 71 93 .
L. W. Zhang, A. S. Ademiloye & K. M. Liew. (2018) Meshfree and Particle Methods in Biomechanics: Prospects and Challenges. Archives of Computational Methods in Engineering 26:5, pages 1547-1576.
Crossref
C.F. Santos, Marco Parente, J. Belinha, R.M. Natal Jorge & Fernanda Gentil. 2019. Biodental Engineering V. Biodental Engineering V 129 134 .
M.M.A. Peyroteo, A.T.A. Castro, Jorge Belinha & Renato M. Natal Jorge. 2019. Advances in Biomechanics and Tissue Regeneration. Advances in Biomechanics and Tissue Regeneration 405 412 .
M.M.A. Peyroteo, H.I.G. Gomes, Jorge Belinha & Renato M. Natal Jorge. 2019. Advances in Biomechanics and Tissue Regeneration. Advances in Biomechanics and Tissue Regeneration 393 403 .
Rotem Halevi, Ashraf Hamdan, Gil Marom, Karin Lavon, Sagit Ben-Zekry, Ehud Raanani & Rami Haj-Ali. (2018) A New Growth Model for Aortic Valve Calcification. Journal of Biomechanical Engineering 140:10.
Crossref
J. Belinha, J. M. C. Azevedo, L. M. J. S. Dinis & R. M. Natal Jorge. (2017) Simulating fracture propagation in brittle materials using a meshless approach. Engineering with Computers 34:3, pages 503-522.
Crossref
J. Belinha, J. M. C. Azevedo, L. M. J. S. Dinis & R. M. Natal Jorge. (2017) The Natural Neighbor Radial Point Interpolation Method in Computational Fracture Mechanics: A 2D Preliminary Study. International Journal of Computational Methods 14:04, pages 1750045.
Crossref
J. Belinha, L.M.J.S. Dinis & R. Natal Jorge. (2017) Structural computational biomechanics with advanced discretization techniques. Structural computational biomechanics with advanced discretization techniques.
J. Belinha, L.M.J.S. Dinis & R.M. Natal Jorge. (2016) The analysis of the bone remodelling around femoral stems: A meshless approach. Mathematics and Computers in Simulation 121, pages 64-94.
Crossref
J. Belinha, J. M. C. Azevedo, L. M. J. S. Dinis & R. M. Natal Jorge. (2016) The Natural Neighbor Radial Point Interpolation Method Extended to the Crack Growth Simulation. International Journal of Applied Mechanics 08:01, pages 1650006.
Crossref
J.M.C. Azevedo, J. Belinha, L.M.J.S. Dinis & R.M. Natal Jorge. (2015) Crack path prediction using the natural neighbour radial point interpolation method. Engineering Analysis with Boundary Elements 59, pages 144-158.
Crossref
J. BELINHA, L. M. J. S. DINIS & R. M. NATAL JORGE. (2015) THE MANDIBLE REMODELING INDUCED BY DENTAL IMPLANTS: A MESHLESS APPROACH. Journal of Mechanics in Medicine and Biology 15:04, pages 1550059.
Crossref
Jorge Belinha, Lucia Dinis & Renato Natal Jorge. (2015) The osteointegration numerical prediction of a femur stem using a meshless approach. The osteointegration numerical prediction of a femur stem using a meshless approach.
Cristina Tavares, Jorge Belinha, Lucia Dinis & Renato Natal Jorge. (2015) The numerical analysis of a restored tooth using meshless methods. The numerical analysis of a restored tooth using meshless methods.
J. Belinha, L.M.J.S. Dinis & R.M. Natal Jorge. (2015) The Meshless Methods in the Bone Tissue Remodelling Analysis. Procedia Engineering 110, pages 51-58.
Crossref
C.S.S. Tavares, J. Belinha, L.M.J.S. Dinis & R.M. Natal Jorge. (2015) The Elasto-plastic Response of the Bone Tissue Due to the Insertion of Dental Implants. Procedia Engineering 110, pages 37-44.
Crossref
R Jorge, J Campos, Mário Vaz, Sónia Santos & João TavaresJ Belinha, L Dinis & R Jorge. 2014. Biodental Engineering III. Biodental Engineering III 213 220 .
Jorge BelinhaJorge Belinha. 2014. Meshless Methods in Biomechanics. Meshless Methods in Biomechanics 251 316 .
Jorge BelinhaJorge Belinha. 2014. Meshless Methods in Biomechanics. Meshless Methods in Biomechanics 221 249 .
Jorge BelinhaJorge Belinha. 2014. Meshless Methods in Biomechanics. Meshless Methods in Biomechanics 41 87 .
Jorge BelinhaJorge Belinha. 2014. Meshless Methods in Biomechanics. Meshless Methods in Biomechanics 1 14 .

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