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A continuum model for the bio-mechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery

Angela Madeo, +2 more
- 01 Oct 2011 - 
- Vol. 339, Iss: 10, pp 625-640
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TLDR
In this paper, a two-constituent porous continuum model is proposed to describe the long-term growth/resorption phenomena in bone tissues grafted with bio-resorbable materials as driven by mechanical loads.
About: 
This article is published in Comptes Rendus Mecanique.The article was published on 2011-10-01 and is currently open access. It has received 71 citations till now. The article focuses on the topics: Bone tissue & Resorption.

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At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola

Francesco dell’Isola, +2 more
- 01 Sep 2015 - 
TL;DR: Gabrio Piola's scientific papers have been underestimated in mathematical physics literature as mentioned in this paper, but a careful reading of them proves that they are original, deep and far-reaching, and even even...
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At the origins and in the vanguard of peri-dynamics, non-local and higher gradient continuum mechanics. An underestimated and still topical contribution of Gabrio Piola

Francesco dell’Isola, +2 more
- 16 Oct 2013 - 
TL;DR: In this paper, the authors show that non-local and higher gradient continuum mechanics was conceived already in Piola's works and explain the reasons of the unfortunate circumstance which caused the erasure of the memory of this aspect of Piola contribution.
Journal ArticleDOI

How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”

Francesco dell’Isola, +2 more
- 16 Feb 2012 - 
TL;DR: In this article, it is shown how to generalize Cauchy representation formulas for contact interactions to the case of Nth gradient continua, that is, continua in which the deformation energy depends on the Green-Saint-Venant tensor and all its N − 1 order gradients.
Journal ArticleDOI

Analytical continuum mechanics à la Hamilton-Piola least action principle for second gradient continua and capillary fluids

Nicolas Auffray, +4 more
- 01 Apr 2015 - 
TL;DR: In this article, a Lagrangian action is proved to hold for capillary fluids, i.e. fluids for which the deformation energy has the form suggested, starting from molecular arguments.
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Isogeometric analysis of plane-curved beams:

Antonio Cazzani, +2 more
- 01 May 2016 - 
TL;DR: In this article, a curved beam element based on the Timoshenko model and non-uniform rational B-splines (NURBS) interpolation both for geometry and displacements is presented.
References
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Journal ArticleDOI

Calcium phosphate ceramics as hard tissue prosthetics.

Michael Jarcho
- 01 Jun 1981 - 
TL;DR: Calcium Phosphate Ceramics as Hard Tissue Prosthetics and its Applications in Orthopaedics and Related Research.
BookDOI

Bone mechanics handbook

Stephen C. Cowin
TL;DR: Basic Biology Integrated Bone Tissue Physiology: Anatomy and Physiology (Jee) Cell Biology of Bone (Majeska) Molecular Biology Techniques to Measure Skeletal Gene Expression (Young and Dieudonne) and Creating Transgenic Mice to Study Skeletal Function ( young and Xu).
Journal ArticleDOI

Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements.

Jae Young Rho, +2 more
- 01 Feb 1993 - 
TL;DR: The results suggest that when considered mechanically, cortical and trabecular bone are not the same material.
Journal ArticleDOI

The biology of bone graft repair.

Hans Burchardt
- 01 Apr 1983 - 
TL;DR: The rejection of a bone allograft is histologically expressed by the disruption of vessels, an inflammatory process including lymphocytes, fibrous encapsulation, peripheral graft resorption, callus bridging, nonunions, and fatigue fractures.
Journal ArticleDOI

Bone-graft substitutes: Facts, fictions, and applications

A S Greenwald, +5 more
- 01 Nov 2001 - 
TL;DR: It is estimated that more than 500,000 bone-grafting procedures are performed annually in the United States, with approximately half of these procedures related to spine fusion, indicating a shortage in the availability of musculoskeletal donor tissue traditionally used in these reconstructions.
Related Papers (5)

A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling

Angela Madeo, +4 more
- 01 Aug 2012 - 

A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials

Tomasz Lekszycki, +1 more
- 21 Jun 2012 - 

A 2-D continuum model of a mixture of bone tissue and bio-resorbable material for simulating mass density redistribution under load slowly variable in time

Ugo Andreaus, +4 more
- 17 Dec 2014 - 

Truss modular beams with deformation energy depending on higher displacement gradients

Jean Jacques Alibert, +2 more
- 01 Feb 2003 - 

How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”

Francesco dell’Isola, +2 more
- 16 Feb 2012 - 
Frequently Asked Questions (1)
Q1. What are the contributions mentioned in the paper "A continuum model for the bio-mechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery" ?

The authors introduce a two-constituent porous continuum as a model describing the long-term growth/resorption phenomena in bone tissues grafted with bio-resorbable materials as driven by mechanical loads. The authors present some numerical simulations for rod-bones subjected to axial external load.