Modeling of indentation into inhomogeneous soft tissues

A. N. Lyubicheva, I. G. Goryacheva, M. Z. Dosaev, Fong-chin Su

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A simulation of a contact interaction of the indenter and inhomogeneous soft biological tissues is carried out. The soft tissue is modeled by the incompressible elastic body which contains structural inhomogeneities (spherical or longitudinal inclusions). The elastic moduli of inclusions are higher than the bulk soft tissue modulus. These inclusions may be considered, in particular, as the models of the pathological growths. The indenter has the form of a hollow hemisphere (shell). It is the model of the mechanoreceptor developed in [1] to study the mechanical properties of soft tissues. The hydrostatic pressure can be applied inside the shell. Based on the numerical analysis, the dependences of the contact area size, and contact pressure on penetration of the indenter into the sample for several values of the inclusion size, depth, its location, the ratio of the elastic moduli of inclusion and the surrounding material, but also for various values of hydrostatic pressure inside the shell were obtained. The possibility of an inverse problem solution for determining the mechanical properties of the inclusion, and its size by measuring the contact characteristics is discussed.

Original languageEnglish
Title of host publicationICNPAA 2016 World Congress
Subtitle of host publication11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
EditorsSeenith Sivasundaram
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414648
DOIs
Publication statusPublished - 2017 Jan 27
Event11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016 - La Rochelle, France
Duration: 2016 Jul 42016 Jul 8

Publication series

NameAIP Conference Proceedings
Volume1798
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016
CountryFrance
CityLa Rochelle
Period16-07-0416-07-08

Fingerprint

indentation
inclusions
hydrostatic pressure
modulus of elasticity
mechanoreceptors
mechanical properties
elastic bodies
hemispheres
numerical analysis
electric contacts
hollow
inhomogeneity
penetration
simulation
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Lyubicheva, A. N., Goryacheva, I. G., Dosaev, M. Z., & Su, F. (2017). Modeling of indentation into inhomogeneous soft tissues. In S. Sivasundaram (Ed.), ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences [020092] (AIP Conference Proceedings; Vol. 1798). American Institute of Physics Inc.. https://doi.org/10.1063/1.4972684
Lyubicheva, A. N. ; Goryacheva, I. G. ; Dosaev, M. Z. ; Su, Fong-chin. / Modeling of indentation into inhomogeneous soft tissues. ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. editor / Seenith Sivasundaram. American Institute of Physics Inc., 2017. (AIP Conference Proceedings).
@inproceedings{eca70d4634ca4e69a191385b849bfad4,
title = "Modeling of indentation into inhomogeneous soft tissues",
abstract = "A simulation of a contact interaction of the indenter and inhomogeneous soft biological tissues is carried out. The soft tissue is modeled by the incompressible elastic body which contains structural inhomogeneities (spherical or longitudinal inclusions). The elastic moduli of inclusions are higher than the bulk soft tissue modulus. These inclusions may be considered, in particular, as the models of the pathological growths. The indenter has the form of a hollow hemisphere (shell). It is the model of the mechanoreceptor developed in [1] to study the mechanical properties of soft tissues. The hydrostatic pressure can be applied inside the shell. Based on the numerical analysis, the dependences of the contact area size, and contact pressure on penetration of the indenter into the sample for several values of the inclusion size, depth, its location, the ratio of the elastic moduli of inclusion and the surrounding material, but also for various values of hydrostatic pressure inside the shell were obtained. The possibility of an inverse problem solution for determining the mechanical properties of the inclusion, and its size by measuring the contact characteristics is discussed.",
author = "Lyubicheva, {A. N.} and Goryacheva, {I. G.} and Dosaev, {M. Z.} and Fong-chin Su",
year = "2017",
month = "1",
day = "27",
doi = "10.1063/1.4972684",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Seenith Sivasundaram",
booktitle = "ICNPAA 2016 World Congress",

}

Lyubicheva, AN, Goryacheva, IG, Dosaev, MZ & Su, F 2017, Modeling of indentation into inhomogeneous soft tissues. in S Sivasundaram (ed.), ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences., 020092, AIP Conference Proceedings, vol. 1798, American Institute of Physics Inc., 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 16-07-04. https://doi.org/10.1063/1.4972684

Modeling of indentation into inhomogeneous soft tissues. / Lyubicheva, A. N.; Goryacheva, I. G.; Dosaev, M. Z.; Su, Fong-chin.

ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. ed. / Seenith Sivasundaram. American Institute of Physics Inc., 2017. 020092 (AIP Conference Proceedings; Vol. 1798).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Modeling of indentation into inhomogeneous soft tissues

AU - Lyubicheva, A. N.

AU - Goryacheva, I. G.

AU - Dosaev, M. Z.

AU - Su, Fong-chin

PY - 2017/1/27

Y1 - 2017/1/27

N2 - A simulation of a contact interaction of the indenter and inhomogeneous soft biological tissues is carried out. The soft tissue is modeled by the incompressible elastic body which contains structural inhomogeneities (spherical or longitudinal inclusions). The elastic moduli of inclusions are higher than the bulk soft tissue modulus. These inclusions may be considered, in particular, as the models of the pathological growths. The indenter has the form of a hollow hemisphere (shell). It is the model of the mechanoreceptor developed in [1] to study the mechanical properties of soft tissues. The hydrostatic pressure can be applied inside the shell. Based on the numerical analysis, the dependences of the contact area size, and contact pressure on penetration of the indenter into the sample for several values of the inclusion size, depth, its location, the ratio of the elastic moduli of inclusion and the surrounding material, but also for various values of hydrostatic pressure inside the shell were obtained. The possibility of an inverse problem solution for determining the mechanical properties of the inclusion, and its size by measuring the contact characteristics is discussed.

AB - A simulation of a contact interaction of the indenter and inhomogeneous soft biological tissues is carried out. The soft tissue is modeled by the incompressible elastic body which contains structural inhomogeneities (spherical or longitudinal inclusions). The elastic moduli of inclusions are higher than the bulk soft tissue modulus. These inclusions may be considered, in particular, as the models of the pathological growths. The indenter has the form of a hollow hemisphere (shell). It is the model of the mechanoreceptor developed in [1] to study the mechanical properties of soft tissues. The hydrostatic pressure can be applied inside the shell. Based on the numerical analysis, the dependences of the contact area size, and contact pressure on penetration of the indenter into the sample for several values of the inclusion size, depth, its location, the ratio of the elastic moduli of inclusion and the surrounding material, but also for various values of hydrostatic pressure inside the shell were obtained. The possibility of an inverse problem solution for determining the mechanical properties of the inclusion, and its size by measuring the contact characteristics is discussed.

UR - http://www.scopus.com/inward/record.url?scp=85013665139&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85013665139&partnerID=8YFLogxK

U2 - 10.1063/1.4972684

DO - 10.1063/1.4972684

M3 - Conference contribution

T3 - AIP Conference Proceedings

BT - ICNPAA 2016 World Congress

A2 - Sivasundaram, Seenith

PB - American Institute of Physics Inc.

ER -

Lyubicheva AN, Goryacheva IG, Dosaev MZ, Su F. Modeling of indentation into inhomogeneous soft tissues. In Sivasundaram S, editor, ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. American Institute of Physics Inc. 2017. 020092. (AIP Conference Proceedings). https://doi.org/10.1063/1.4972684