Anisotropic gradient elasticity for modelling bone tissue

I. M. Gitman

doi:10.1016/j.commatsci.2011.06.022

Anisotropic gradient elasticity for modelling bone tissue

I. M. Gitman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

Abstract

The analysis of the stresses surrounding a transverse fracture in a bi-material cortical-trabecular bone interface is performed. It is well known that using classical elasticity results in singular character of the stresses around the crack tip. A gradient enhanced constitutive relation, adapted for an anisotropic bone material, is used in this paper in order to remove these unrealistic singularities. Gradient elasticity models ensure realistic mechanical behaviour by introducing extra gradient term accompanied by length scale parameter that carry the information about the lower scale structure of a material.

Original language	English
Pages (from-to)	136-138
Number of pages	3
Journal	Computational materials science
Volume	52
Issue number	1
DOIs	https://doi.org/10.1016/j.commatsci.2011.06.022
Publication status	Published - Feb 2012
Externally published	Yes

Keywords

Anisotropy
Bi-material cortical-trabecular interface
Gradient elasticity
n/a OA procedure

Access to Document

10.1016/j.commatsci.2011.06.022

Cite this

@article{c5e6f62639744be482cc588bc45aeb7c,

title = "Anisotropic gradient elasticity for modelling bone tissue",

abstract = "The analysis of the stresses surrounding a transverse fracture in a bi-material cortical-trabecular bone interface is performed. It is well known that using classical elasticity results in singular character of the stresses around the crack tip. A gradient enhanced constitutive relation, adapted for an anisotropic bone material, is used in this paper in order to remove these unrealistic singularities. Gradient elasticity models ensure realistic mechanical behaviour by introducing extra gradient term accompanied by length scale parameter that carry the information about the lower scale structure of a material.",

keywords = "Anisotropy, Bi-material cortical-trabecular interface, Gradient elasticity, n/a OA procedure",

author = "Gitman, {I. M.}",

year = "2012",

month = feb,

doi = "10.1016/j.commatsci.2011.06.022",

language = "English",

volume = "52",

pages = "136--138",

journal = "Computational materials science",

issn = "0927-0256",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Anisotropic gradient elasticity for modelling bone tissue

AU - Gitman, I. M.

PY - 2012/2

Y1 - 2012/2

N2 - The analysis of the stresses surrounding a transverse fracture in a bi-material cortical-trabecular bone interface is performed. It is well known that using classical elasticity results in singular character of the stresses around the crack tip. A gradient enhanced constitutive relation, adapted for an anisotropic bone material, is used in this paper in order to remove these unrealistic singularities. Gradient elasticity models ensure realistic mechanical behaviour by introducing extra gradient term accompanied by length scale parameter that carry the information about the lower scale structure of a material.

AB - The analysis of the stresses surrounding a transverse fracture in a bi-material cortical-trabecular bone interface is performed. It is well known that using classical elasticity results in singular character of the stresses around the crack tip. A gradient enhanced constitutive relation, adapted for an anisotropic bone material, is used in this paper in order to remove these unrealistic singularities. Gradient elasticity models ensure realistic mechanical behaviour by introducing extra gradient term accompanied by length scale parameter that carry the information about the lower scale structure of a material.

KW - Anisotropy

KW - Bi-material cortical-trabecular interface

KW - Gradient elasticity

KW - n/a OA procedure

UR - http://www.scopus.com/inward/record.url?scp=80255124788&partnerID=8YFLogxK

U2 - 10.1016/j.commatsci.2011.06.022

DO - 10.1016/j.commatsci.2011.06.022

M3 - Article

AN - SCOPUS:80255124788

SN - 0927-0256

VL - 52

SP - 136

EP - 138

JO - Computational materials science

JF - Computational materials science

IS - 1

ER -

Anisotropic gradient elasticity for modelling bone tissue

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this