Analysis of bone as a composite material

Piekarski, K.

doi:10.1016/0020-7225(73)90018-9

Cited by 111 publications

(48 citation statements)

References 8 publications

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“…Bone itself has a broad spectrum of mechanical properties, depending on its type, [52][53][54][55][56] humidity, 57 mineral content, [58][59][60] density, 58,61 porosity, 58 collagen fiber orientation, 58,62 and interfacial bonding between constituents. 14,15 The reinforcement and toughening mechanisms of bone [63][64][65] lie in its complex hierarchical structure, as well as its inorganic and organic constituents. In addition, the mineral phase is not a discrete aggregation of the calcium phosphate crystals.…”

Section: Discussionmentioning

confidence: 99%

Formation of calcium phosphate/collagen composites through mineralization of collagen matrix

Cui

Zhang

et al. 2000

J. Biomed. Mater. Res.

280

171

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Several types of calcium phosphate/collagen composites, including noncrystalline calcium phosphate/collagen, poorly crystalline carbonate-apatite (PCCA)/collagen, and PCCA + tetracalcium phosphate/collagen composites, were prepared through the mineralization of collagen matrix. The type I collagen was presoaked with a PO(3-)(4) containing solution and then immersed in a Ca(2+) containing solution to allow mineral deposition. The solution of 0.56 M sodium dibasic phosphate (Na(2)HPO(4)) with a pH of nearly 14 was metastable and its crystallization produced Na(2)HPO(4) and sodium tripolyphosphate hexahydrate (Na(5)P(3)O(10)). 6H(2)O), leading to a controlled release of orthophosphate ions during the subsequent mineral precipitation. The development of the composites was investigated in detail. The mineral contributed up to 60-70% of the weight of the final composites. The strength and Young's modulus of the composites in tensile tests overlapped the lower range of values reported for bone. When implanted in muscle tissue, the composite showed biodegradability that was partly through a multinucleated giant cell mediated process. In a bone explant culture model it was observed that bone-derived cells deposited mineralizing collagenous matrix on the composite.

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Section: Discussionmentioning

confidence: 99%

Formation of calcium phosphate/collagen composites through mineralization of collagen matrix

Cui

Zhang

et al. 2000

J. Biomed. Mater. Res.

280

171

View full text Add to dashboard Cite

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“…For example, several authors try to model its mechanical behaviour through a mixture rule: Voigt's model [5] or Reuss's model [6]. Wagner and Weiner [7] modelled bone considering a composed material defined by its microstructure.…”

Section: Biomechanical Tissue Modellingmentioning

confidence: 99%

Patches of Finite Elements for Singularly-Perturbed Diffusion Reaction Equations with Discontinuous Coefficients

Culpo

Falco

O’Riordan

2010

Progress in Industrial Mathematics at ECMI 2008

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Summary. Mechanical modeling of living tissues is currently one of the most crucial challenges in research for mechanical engineers and mathematicians. Mechanics is a key factor to understanding the mechanisms that regulate many biological processes, such as mitosis, migration, and differentiation. This work aims to present the most crucial aspects, in the authors' opinion, to approach this challenge.

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“…The authors (4,17) have proposed mechanical models based on the waviness of the microfibrils. At this level, the microfibrils were found to be elastic (10,19,20,23). …”

Section: Structural Analysis Of Bonesmentioning

confidence: 99%

“…at 0°, 45° and 90° with respect to the longitudinal axis of the structure. Several authors (1,6,8,14,19,20,23,24) have measured and analysed the mechanical properties of collagen and hydroxyapatite (Young's modulus, Poisson's ratio and density).…”

Section: Ii3 Finite Element Modellingmentioning

confidence: 99%

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Constitutive Laws and Failure Models for Compact Bones Subjected to Dynamic Loading

Pithioux

Chabrand

Jean

2002

Computer Methods in Biomechanics and Biomedical Engineering

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ABSTRACT:Many biological tissues, such as bones and ligaments, are fibrous. The geometrical structure of these tissues shows that they exhibit a similar hierarchy in their ultra-structure and macro-structure. The aim of this work is to develop a model to study the failure of fibrous structures subjected to dynamic loading. The important feature of this model is that it describes failure in terms of the loss of cohesion between fibres. We have developed a model based on the lamellar structure of compact bone with fibres oriented at 0°, 45° and 90° to the longitudinal axis of the bone, and have studied the influence of the model parameters on the failure process. Bone porosity and joint stress force at failure were found to be the most significant parameters. Using least square resolution, we deduced a phenomenological model of the lamellar structure. Finally, experimental results were found to be comparable with our numerical model.

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Analysis of bone as a composite material

Cited by 111 publications

References 8 publications

Formation of calcium phosphate/collagen composites through mineralization of collagen matrix

Formation of calcium phosphate/collagen composites through mineralization of collagen matrix

Patches of Finite Elements for Singularly-Perturbed Diffusion Reaction Equations with Discontinuous Coefficients

Constitutive Laws and Failure Models for Compact Bones Subjected to Dynamic Loading

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