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The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids

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Abstract

A model of a mixture of bone tissue and bioresorbable material with voids was used to numerically analyze the physiological balance between the processes of bone growth and resorption and artificial material resorption in a plate-like sample. The adopted model was derived from a theory for the behavior of porous solids in which the matrix material is linearly elastic and the interstices are void of material. The specimen—constituted by a region of bone living tissue and one of bioresorbable material—was acted by different in-plane loading conditions, namely pure bending and shear. Ranges of load magnitudes were identified within which physiological states become possible. Furthermore, the consequences of applying different loading conditions are examined at the end of the remodeling process. In particular, maximum value of bone and material mass densities, and extensions of the zones where bone is reconstructed were identified and compared in the two different load conditions. From the practical view point, during surgery planning and later rehabilitation, some choice of the following parameters is given: porosity of the graft, material characteristics of the graft, and adjustment of initial mixture tissue/bioresorbable material and later, during healing and remodeling, optimal loading conditions.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università Sapienza di Roma, Via Eudossiana 18, 00184, Rome, Italy

    Ivan Giorgio & Ugo Andreaus

  2. International Research Center for the Mathematics and Mechanics of Complex Systems ‘MeMoCS’, Cisterna di Latina, Italy

    Ivan Giorgio & Angela Madeo

  3. Institut National des Sciences Appliquées (INSA), Université de Lyon, 20, Avenue Albert-Einstein, 69621, Villeurbanne Cedex, France

    Angela Madeo

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  1. Ivan Giorgio
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  2. Ugo Andreaus
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Correspondence to Ivan Giorgio.

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Communicated by Victor Eremeyev, Peter Schiavone and Francesco dell'Isola.

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Giorgio, I., Andreaus, U. & Madeo, A. The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids. Continuum Mech. Thermodyn. 28, 21–40 (2016). https://doi.org/10.1007/s00161-014-0397-y

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