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Advances in Biomechanics & Applications
  Volume 1, Number 3, September 2014, pages 211-225
open access

A simplified theory of adaptive bone elastic beam buckling
Salah Ramtani, Hamza Bennaceur and Toufik Outtas

    The usual assumption that the increase of fractures in aging bone is due entirely to lower bone density is taken back with respect to the possibility that aging bone fractures result from a loss of stability, or buckling, in the structure of the bone lattice. Buckling is an instability mode that becomes likely in end-loaded structures when they become too slender and lose lateral support. The relative importance of bone density and architecture in etiology bone fractures are poorly understood and the need for improved mechanistic understanding of bone failure is at the core of important clinical problems such as osteoporosis, as well as basic biological issues such as bone formation and adaptation. These observations motivated the present work in which simplified adaptive-beam buckling model is formulated within the context of the adaptive elasticity (Cowin and Hegedus, 1976; Hegedus and Cowin, 1976). Our results indicate that bone loss activation process leads systematically to the apparition of new elastic instabilities that can conduct to bone-buckling mechanism of fracture.
Key Words
    Adaptive elasticity; bone remodeling; beam buckling theory
Salah Ramtani: Laboratoire CSPBAT – LBPS UMR 7244 CNRS, Universite Paris-Nord,Institut Galilee 99, avenue J.B. Clement. 93430 Villetaneuse, France
Hamza Bennaceur and Toufik Outtas: Laboratoire Mecanique des Structures et Materiaux, Universite de Batna,Departement de Mecanique, Faculte de technologie, Avenue Chahid Boukhlouf 05000, Batna, Algerie

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