Thermodynamic restrictions on the elastic constants of bone

Cowin, Stephen C.; Van Buskirk, William C.

Affiliations

¹Department of Biomedical Engineering, Tulane University, New Orleans, LA 70118, U.S.A.

Abstract

The thermodynamic restrictions on the elastic coefficients of linear orthotropic elasticity and linear transversely isotropy elasticity are recorded and it is shown that previously reported data for the elastic orthotropic constants of bone satisfy these thermodynamic restrictions.

Links

DOI: 10.1016/0021-9290(86)90112-0

PubMed: 3949819

WoS: A1986AZG5600009

History

Received: 1985-03-25

Revised: 1985-07-16

Cited Works (1)

Year	Entry
1984	Ashman RB, Cowin SC, Van Buskirk WC, Rice JC. A continuous wave technique for the measurement of the elastic properties of cortical bone. J Biomech. 1984;17(5):349-361.

Cited By (16)

Year	Entry
2001	Cowin SC. Mechanics of materials. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:6-1–6-24.
2001	van Rietbergen B, Huiskes R. Elastic constants of cancellous bone. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:15-1–15-24.
2001	Hart RT. Bone modeling and remodeling: theories and computation. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:31-1–31-42.
1993	Fung YC. Biomechanics: Mechanical Properties of Living Tissues. 2nd ed. New York, NY: Springer-Verlag; 1993.
1988	Yahia LH, Drouin G, Duval P. A methodology for mechanical measurements of technical constants of trabecular bone. Eng Med. October 1988;17(4):169-173.
1993	Dalstra M, Huiskes R, Odgaard A, van Erning L. Mechanical and textural properties of pelvic trabecular bone. J Biomech. April–May 1993;26(4-5):523-535.
2003	Zysset PK. A review of morphology–elasticity relationships in human trabecular bone: theories and experiments. J Biomech. October 2003;36(10):1469-1485.
2007	Shahar R, Zaslansky P, Barak M, Friesem AA, Currey JD, Weiner S. Anisotropic Poisson's ratio and compression modulus of cortical bone determined by speckle interferometry. J Biomech. 2007;40(2):252-264.
2000	Smit TH, Burger EH. Is BMU-coupling a strain-regulated phenomenon? a finite element analysis. J Bone Miner Res. February 2000;12(2):301-307.
2003	Bredbenner TL. Damage Modeling of Vertebral Trabecular Bone [PhD thesis]. Cleveland, OH: Case Western Reserve University; January 2003.
2011	Wulliamoz PM. Micromechanical Modelling of Normal, Drug Treated and Osteoporotic Bone Using Scanning Acoustic Microsopy and Finite Element Analysis [PhD thesis]. Trinity College Dublin; December 2011.
1987	Turner CH. On the Relationship Between the Elastic Properties of Cancellous Bone and Its Structure [PhD thesis]. New Orleans, LA: Tulane University; 1987.
2002	Bellezza AJ. Biomechanical Properties of the Normal and Early Glaucomatous Optic Nerve Head: An Experimental and Computational Study Using the Monkey Model [PhD thesis]. Tulane University; 2002.
2009	Yang H. Optic Nerve Head Biomechanics of Normal and Glaucomatous Monkeys: An Experimental and Computational Study [PhD thesis]. Tulane University; 2009.
2013	Bacca M. Homogenization of Heterogeneous Cauchy-Elastic Materials Leads to Mindlin Second-Gradient Elasticity [PhD thesis]. University of Trento; 2013.
2016	Arango Villegas C. Study of the Mechanical Behavior of Cortical Bone Microstructure by the Finite Element Method [PhD thesis]. Universität Politècnica de València; May 2016.