Indentation has been widely used to characterize the mechanical properties of biopolymers. Besides Hertzian solution, Sneddon's solution is frequently adopted to interpret the indentation data to deduce the elastic properties of biopolymers, e.g., elastic modulus. Sneddon's solution also forms the basis to develop viscoelastic contact models for determining the viscoelastic properties of materials from either conical or flat punch indentation responses. It is worth mentioning that the Sneddon's solution was originally proposed on the basis of linear elastic contact theory. However, in both conical and flat punch indentation of compliant materials, the indented solid may undergo finite deformation. In this case, the extent to which the Sneddon's solution is applicable so far has not been systematically investigated. In this paper, we use the combined theoretical, computational, and experimental efforts to investigate the indentation of hyperelastic compliant materials with a flat punch or a conical tip. The applicability of Sneddon's solutions is examined. Furthermore, we present new models to determine the elastic properties of nonlinear elastic biopolymers.
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September 2014
Research-Article
On the Applicability of Sneddon's Solution for Interpreting the Indentation of Nonlinear Elastic Biopolymers
Man-Gong Zhang,
Man-Gong Zhang
AML,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Tsinghua University
,Beijing 100084
, China
Search for other works by this author on:
Jinju Chen,
Jinju Chen
School of Mechanical and System Engineering,
Newcastle Upon Tyne
Newcastle University
,Newcastle Upon Tyne
NE1 7RU
, UK
;Arthritis Research UK (ARUK)
Tissue Engineering Centre,
Tissue Engineering Centre,
Newcastle University
,Newcastle Upon Tyne NE1 7RU
, UK
Search for other works by this author on:
Xi-Qiao Feng,
Xi-Qiao Feng
AML,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Tsinghua University
,Beijing 100084
, China
Search for other works by this author on:
Yanping Cao
Yanping Cao
1
AML,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
e-mail: caoyanping@tsinghua.edu.cn
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Tsinghua University
,Beijing 100084
, China
e-mail: caoyanping@tsinghua.edu.cn
1Corresponding author.
Search for other works by this author on:
Man-Gong Zhang
AML,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Tsinghua University
,Beijing 100084
, China
Jinju Chen
School of Mechanical and System Engineering,
Newcastle Upon Tyne
Newcastle University
,Newcastle Upon Tyne
NE1 7RU
, UK
;Arthritis Research UK (ARUK)
Tissue Engineering Centre,
Tissue Engineering Centre,
Newcastle University
,Newcastle Upon Tyne NE1 7RU
, UK
Xi-Qiao Feng
AML,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Tsinghua University
,Beijing 100084
, China
Yanping Cao
AML,
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
e-mail: caoyanping@tsinghua.edu.cn
Institute of Biomechanics
and Medical Engineering,
Department of Engineering Mechanics,
Tsinghua University
,Beijing 100084
, China
e-mail: caoyanping@tsinghua.edu.cn
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received April 23, 2014; final manuscript received July 4, 2014; accepted manuscript posted July 9, 2014; published online July 16, 2014. Editor: Yonggang Huang.
J. Appl. Mech. Sep 2014, 81(9): 091011 (7 pages)
Published Online: July 16, 2014
Article history
Received:
April 23, 2014
Revision Received:
July 4, 2014
Accepted:
July 9, 2014
Citation
Zhang, M., Chen, J., Feng, X., and Cao, Y. (July 16, 2014). "On the Applicability of Sneddon's Solution for Interpreting the Indentation of Nonlinear Elastic Biopolymers." ASME. J. Appl. Mech. September 2014; 81(9): 091011. https://doi.org/10.1115/1.4027973
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