title: Constitutive relationship of tissue behavior with damage accumulation of human cortical bone.
abstract: Microdamage accumulation has been identified as a major conduit for bone tissues to absorb fracture energy. Due to the poor understanding of its underlying mechanism, however, an adequate constitutive relationship between damage accumulation and the mechanical behavior of bone has not yet been established. In this study, the constitutive relationship between the damage accumulation induced by overload and the evolution of mechanical properties of bone with incremental deformation was established based on the experimental results obtained from a novel progressive loading protocol developed in our laboratory. First, a decayed exponential model was proposed to capture the damage accumulation (modulus loss) with increase in applied strain. Next, a power law function was proposed to represent the progression of plastic deformation with damage accumulation. Finally, a linear combination of the Kohlrausch-Williams-Watts (KWW) and the Debye functions was used to depict the viscoelastic behavior of bone associated with damage accumulation. The results of this study may help in developing a constitutive model for predicting the mechanical behavior of cortical bone tissues.
authors.affiliation: Mechanical Engineering, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA.
authors.forename: Qing
authors.initials: Q
authors.lastname: Luo
authors.forename: Huijie
authors.initials: H
authors.lastname: Leng
authors.forename: Rae
authors.initials: R
authors.lastname: Acuna
authors.forename: Xuanliang Neil
authors.initials: XN
authors.lastname: Dong
authors.forename: Qiguo
authors.initials: Q
authors.lastname: Rong
authors.forename: Xiaodu
authors.initials: X
authors.lastname: Wang
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D001842:Bone and Bones / Q000293:injuries* / Q000503:physiopathology*; D004285:Dogs; D055119:Elastic Modulus; D006801:Humans; D066298:In Vitro Techniques; D016014:Linear Models; D008297:Male; D008875:Middle Aged; D008954:Models, Biological; D013314:Stress, Mechanical; D014783:Viscosity; D016474:Weight-Bearing / Q000502:physiology
references.citation: J Biomed Mater Res A. 2004 Apr 1;69(1):124-30
references.pmid: 14999759
references.citation: J Biomed Mater Res A. 2007 Sep 1;82(3):530-7
references.pmid: 17295254
references.citation: J Biomech. 1987;20(8):779-84
references.pmid: 3654677
references.citation: J Biomed Mater Res A. 2004 Dec 1;71(3):549-58
references.pmid: 15484205
references.citation: J Biomech. 1993 Dec;26(12):1369-76
references.pmid: 8308042
references.citation: J Biomech Eng. 1999 Oct;121(5):533-41
references.pmid: 10529922
references.citation: Calcif Tissue Int. 2003 Aug;73(2):101-7
references.pmid: 14565590
references.citation: J Mech Behav Biomed Mater. 2009 Dec;2(6):613-9
references.pmid: 19716106
references.citation: J Biomech. 1975;8(6):393-405
references.pmid: 1206042
references.citation: J Biomech. 2009 Mar 11;42(4):491-7
references.pmid: 19150716
references.citation: J Biomech. 1995 Jul;28(7):809-15
references.pmid: 7657679
references.citation: J Biomech. 1996 Jan;29(1):69-79
references.pmid: 8839019
references.citation: J Biomech. 2003 Nov;36(11):1683-9
references.pmid: 14522210
references.citation: J Theor Biol. 2001 Jun 7;210(3):389-99
references.pmid: 11397140
references.citation: J Biomech. 1998 Sep;31(9):825-33
references.pmid: 9802783
references.citation: J Bone Joint Surg Am. 1993 Aug;75(8):1193-205
references.pmid: 8354678
references.citation: J Biomech. 1996 Dec;29(12):1549-58
references.pmid: 8945653
references.citation: J Biomech. 2007;40(3):674-7
references.pmid: 16545820
references.citation: Med Eng Phys. 1998 Mar;20(2):92-102
references.pmid: 9679227
references.citation: J Biomech. 1999 Apr;32(4):437-41
references.pmid: 10213035
references.citation: J Biomech. 2004 Sep;37(9):1295-303
references.pmid: 15275836
references.citation: J Biomech. 1996 Nov;29(11):1463-71
references.pmid: 8894927
references.citation: J Biomech. 1988;21(8):623-30
references.pmid: 3170617
references.citation: Calcif Tissue Int. 1994 Jul;55(1):53-8
references.pmid: 7922790
references.citation: Med Eng Phys. 1994 May;16(3):203-12
references.pmid: 8061906
references.citation: J Biomech. 1997 Sep;30(9):891-4
references.pmid: 9302611
references.citation: Bone. 2008 Jan;42(1):193-9
references.pmid: 17964874
references.citation: J Biomed Mater Res A. 2009 May;89(2):521-9
references.pmid: 18437693
references.citation: J Biomech. 1998 Apr;31(4):337-45
references.pmid: 9672087