Use of rigid spherical inclusions in young's moduli determination: Application to DNA-crosslinked gels

David C. Lin; Bernard Yurke; Noshir A. Langrana

doi:10.1115/1.1933981

Use of rigid spherical inclusions in young's moduli determination: Application to DNA-crosslinked gels

David C. Lin, Bernard Yurke, Noshir A. Langrana

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25 Scopus citations

Abstract

Current techniques for measuring the bulk shear or elastic (E) modulus of small samples of soft materials are usually limited by materials handling issues. This paper describes a nondestructive testing method based on embedded spherical inclusions. The technique simplifies materials preparation and handling requirements and is capable of continuously monitoring changes in stiffness. Exact closed form derivations of E as functions of the inclusion force-displacement relationship are presented. Analytical and numerical analyses showed that size effects are significant for medium dimensions up to several times those of the inclusion. Application of the method to DNA-crosslinked gels showed good agreement with direct compression tests.

Original language	English
Pages (from-to)	571-579
Number of pages	9
Journal	Journal of Biomechanical Engineering
Volume	127
Issue number	4
DOIs	https://doi.org/10.1115/1.1933981
State	Published - Aug 2005
Externally published	Yes

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abstract = "Current techniques for measuring the bulk shear or elastic (E) modulus of small samples of soft materials are usually limited by materials handling issues. This paper describes a nondestructive testing method based on embedded spherical inclusions. The technique simplifies materials preparation and handling requirements and is capable of continuously monitoring changes in stiffness. Exact closed form derivations of E as functions of the inclusion force-displacement relationship are presented. Analytical and numerical analyses showed that size effects are significant for medium dimensions up to several times those of the inclusion. Application of the method to DNA-crosslinked gels showed good agreement with direct compression tests.",

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AB - Current techniques for measuring the bulk shear or elastic (E) modulus of small samples of soft materials are usually limited by materials handling issues. This paper describes a nondestructive testing method based on embedded spherical inclusions. The technique simplifies materials preparation and handling requirements and is capable of continuously monitoring changes in stiffness. Exact closed form derivations of E as functions of the inclusion force-displacement relationship are presented. Analytical and numerical analyses showed that size effects are significant for medium dimensions up to several times those of the inclusion. Application of the method to DNA-crosslinked gels showed good agreement with direct compression tests.

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Use of rigid spherical inclusions in young's moduli determination: Application to DNA-crosslinked gels

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