Analysis of the effect of a compliant layer on indentation of an elastic material

Yunfei Jia; Fu Zhen Xuan; Fuqian Yang

doi:10.1016/j.jmbbm.2013.04.022

Analysis of the effect of a compliant layer on indentation of an elastic material

Yunfei Jia
, Fu Zhen Xuan
, Fuqian Yang

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

8 Scopus citations

Abstract

Considering the possible effect of the thin protein-rich sheath on the indentation deformation of an enamel rod, we analyzed the indentation response of an elastic cylinder with a compliant layer between the cylinder and rigid-surrounding material. For the film thickness much less than the characteristic dimension of the cylinder, closed-form solutions were obtained between the indentation load and the indentation depth, which depends on the film thickness and the ratio of the Young's modulus of the cylinder to the Young's modulus of the film. The finite element results supported the relationships for the ratio of the film thickness to the characteristic dimension of the cylinder less than or equal to 1/3. The indentation load required to produce the same indentation displacement decreases with increasing the ratio of the Young's modulus of the cylinder to the Young's modulus of the film for compressible-elastic films. Incompressible-elastic films have no significant effect on the indentation response of the elastic cylinder.

Original language	English
Pages (from-to)	33-40
Number of pages	8
Journal	Journal of the Mechanical Behavior of Biomedical Materials
Volume	25
DOIs	https://doi.org/10.1016/j.jmbbm.2013.04.022
State	Published - Sep 2013

Bibliographical note

Funding Information:
The authors are grateful for the supports provided by The National High Technology Research and Development Program of China ( 2012AA040106 ), National Key Technology R&D Program ( 2011BAK06B03 ) and the Natural Science Foundation of Shanghai ( 11JC1403200 ).

Funding

The authors are grateful for the supports provided by The National High Technology Research and Development Program of China ( 2012AA040106 ), National Key Technology R&D Program ( 2011BAK06B03 ) and the Natural Science Foundation of Shanghai ( 11JC1403200 ).

Funders	Funder number
National High Technology Research and Development Program of China	2012AA040106
National Key Program for Science and Technology Research and Development	2011BAK06B03
Natural Science Foundation of Shanghai	11JC1403200
Natural Science Foundation of Shanghai

Keywords

Compressible film
Elastic cylinder
Incompressible film
Indentation

ASJC Scopus subject areas

Biomaterials
Biomedical Engineering
Mechanics of Materials

Access to Document

10.1016/j.jmbbm.2013.04.022

Cite this

@article{9eb1446242204777bf5d7a179e3b46ca,

title = "Analysis of the effect of a compliant layer on indentation of an elastic material",

abstract = "Considering the possible effect of the thin protein-rich sheath on the indentation deformation of an enamel rod, we analyzed the indentation response of an elastic cylinder with a compliant layer between the cylinder and rigid-surrounding material. For the film thickness much less than the characteristic dimension of the cylinder, closed-form solutions were obtained between the indentation load and the indentation depth, which depends on the film thickness and the ratio of the Young's modulus of the cylinder to the Young's modulus of the film. The finite element results supported the relationships for the ratio of the film thickness to the characteristic dimension of the cylinder less than or equal to 1/3. The indentation load required to produce the same indentation displacement decreases with increasing the ratio of the Young's modulus of the cylinder to the Young's modulus of the film for compressible-elastic films. Incompressible-elastic films have no significant effect on the indentation response of the elastic cylinder.",

keywords = "Compressible film, Elastic cylinder, Incompressible film, Indentation",

author = "Yunfei Jia and Xuan, \{Fu Zhen\} and Fuqian Yang",

note = "Funding Information: The authors are grateful for the supports provided by The National High Technology Research and Development Program of China ( 2012AA040106 ), National Key Technology R\&D Program ( 2011BAK06B03 ) and the Natural Science Foundation of Shanghai ( 11JC1403200 ). ",

year = "2013",

month = sep,

doi = "10.1016/j.jmbbm.2013.04.022",

language = "English",

volume = "25",

pages = "33--40",

}

TY - JOUR

T1 - Analysis of the effect of a compliant layer on indentation of an elastic material

AU - Jia, Yunfei

AU - Xuan, Fu Zhen

AU - Yang, Fuqian

N1 - Funding Information: The authors are grateful for the supports provided by The National High Technology Research and Development Program of China ( 2012AA040106 ), National Key Technology R&D Program ( 2011BAK06B03 ) and the Natural Science Foundation of Shanghai ( 11JC1403200 ).

PY - 2013/9

Y1 - 2013/9

N2 - Considering the possible effect of the thin protein-rich sheath on the indentation deformation of an enamel rod, we analyzed the indentation response of an elastic cylinder with a compliant layer between the cylinder and rigid-surrounding material. For the film thickness much less than the characteristic dimension of the cylinder, closed-form solutions were obtained between the indentation load and the indentation depth, which depends on the film thickness and the ratio of the Young's modulus of the cylinder to the Young's modulus of the film. The finite element results supported the relationships for the ratio of the film thickness to the characteristic dimension of the cylinder less than or equal to 1/3. The indentation load required to produce the same indentation displacement decreases with increasing the ratio of the Young's modulus of the cylinder to the Young's modulus of the film for compressible-elastic films. Incompressible-elastic films have no significant effect on the indentation response of the elastic cylinder.

AB - Considering the possible effect of the thin protein-rich sheath on the indentation deformation of an enamel rod, we analyzed the indentation response of an elastic cylinder with a compliant layer between the cylinder and rigid-surrounding material. For the film thickness much less than the characteristic dimension of the cylinder, closed-form solutions were obtained between the indentation load and the indentation depth, which depends on the film thickness and the ratio of the Young's modulus of the cylinder to the Young's modulus of the film. The finite element results supported the relationships for the ratio of the film thickness to the characteristic dimension of the cylinder less than or equal to 1/3. The indentation load required to produce the same indentation displacement decreases with increasing the ratio of the Young's modulus of the cylinder to the Young's modulus of the film for compressible-elastic films. Incompressible-elastic films have no significant effect on the indentation response of the elastic cylinder.

KW - Compressible film

KW - Elastic cylinder

KW - Incompressible film

KW - Indentation

UR - https://www.scopus.com/pages/publications/84878960430

UR - https://www.scopus.com/pages/publications/84878960430#tab=citedBy

U2 - 10.1016/j.jmbbm.2013.04.022

DO - 10.1016/j.jmbbm.2013.04.022

M3 - Article

C2 - 23726924

AN - SCOPUS:84878960430

SN - 1751-6161

VL - 25

SP - 33

EP - 40

JO - Journal of the Mechanical Behavior of Biomedical Materials

JF - Journal of the Mechanical Behavior of Biomedical Materials

ER -

Analysis of the effect of a compliant layer on indentation of an elastic material

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this