Elastic properties of apatites

Gilmore, R. S.; Katz, J. L.

Affiliations

¹Center for Biomedical Engineering, Rensselaer Polytechnic Institute, Troy NY 12181, USA

Abstract

One of the prime motives for studying the elastic properties of the apatites stems from the occurrence of hydroxyapatite, OHAp, in calcified tissue. In this paper the isotropic elastic contents of crystalline apatite solids are determined from measurements of elastic wave velocities through powders under pressure. Once obtained, these elastic constants are used to model the elastic behaviour of a two-phase composite material having one phase more rigid than the other by a factor of 2.4. The results are then used in a general discussion of the probable order of magnitude of the elastic constants of the organic non-crystalline phase in bones and teeth, under the assumption of a two-phase system.

Links

DOI: 10.1007/BF00543533

WoS: A1982NQ59500024

History

Received: 1981-08-03

Accepted: 1981-09-19

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2015	Stock SR. The mineral–collagen interface in bone. Calcif Tiss Int. September 2015;97(3):262-280.
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1989	Sasaki N, Matsushima N, Ikawa T, Yamamura H, Fukuda A. Orientation of bone mineral and its role in the anisotropic mechanical properties of bone: transverse anisotropy. J Biomech. 1989;22(2):157-164.
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2018	Seek TW. Exploration of Unique Porous Bone Materials for Candidacy in Bioinspired Material Design [Master's thesis]. Colorado State University; Spring, 2018.
1997	Bowman SM. Creep of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; May 1997.
2012	Hamed E. Multiscale Modeling of Elastic Moduli and Strength of Bone [PhD thesis]. University of Illinois at Urbana-Champaign; 2012.
2013	Li S. Cutting of Cortical Bone Tissue: Analysis of Deformation and Fracture Process [PhD thesis]. Loughborough University; June 2013.
2007	Akhtar R. Micromechanical Behaviour of Bone [PhD thesis]. University of Manchester; 2007.
2012	Deymier-Black AC. Study of the Elasto-Plastic Properties of Mineralized Biomaterials Via Synchrotron High-Energy X-Ray Diffraction [PhD thesis]. Evanston, IL: Northwestern University; June 2012.
2012	Yuan F. Finite Element Simulation of the Mechanical Properties of Mineralized Biomaterials [PhD thesis]. Evanston, IL: Northwestern University; August 2012.
2010	Deuerling JM. Effects of Ultrastructural Organization on the Mechanical Properties and Anisotropy of Human Cortical Bone [PhD thesis]. University of Notre Dame; December 2010.
2012	Jimenez Palomar I. Mechanical Properties of Bone At the Sub-lamellar Level [PhD thesis]. London, England: Queen Mary University of London; September 2012.
2000	Kotha SP. A Micromechanical Model to Explain the Mechanical Properties of Bovine Cortical Bone in Tension: In Vitro Fluoride Ion Effects [PhD thesis]. Rutgers University; January 2000.
2013	Wang Y-K. Multi-Level Micromechanical Modeling of Bone Tissues [PhD thesis]. Los Angeles, CA: Los Angeles, University of California; 2013.
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2021	Atthapreyangkul A. Multi-Scale Finite Element Modelling of Human Cortical Bone: An Analysis of the Mechanical Properties and Microdamage Onset of Cortical Bone [PhD thesis]. University of New South Wales; April 2021.
2015	Lipner JH. Development of Nanofiber Scaffolds With Controllable Structure and Mineral Content for Tendon-to-Bone Repair [PhD thesis]. St. Louis, MO: Washington University in St. Louis; May 2015.