Determining the instantaneous modulus of viscoelastic solids using instrumented indentation measurements

Yang Tse Cheng; Wangyang Ni; Che Min Cheng

doi:10.1557/JMR.2005.0389

Determining the instantaneous modulus of viscoelastic solids using instrumented indentation measurements

Yang Tse Cheng, Wangyang Ni, Che Min Cheng

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

52 Scopus citations

Abstract

Instrumented indentation is often used in the study of small-scale mechanical behavior of "soft" matters that exhibit viscoelastic behavior. A number of techniques have recently been proposed to obtain the viscoelastic properties from indentation load-displacement curves. In this study, we examine the relationships between initial unloading slope, contact depth, and the instantaneous elastic modulus for instrumented indentation in linear viscoelastic solids using either conical or spherical indenters. In particular, we study the effects of "hold-at-the-peak-load" and "hold-at-the-maximum-displacement" on initial unloading slopes and contact depths. We then discuss the applicability of the Oliver-Pharr method (Refs. 29, 30) for determining contact depth that was originally proposed for indentation in elastic and elastic-plastic solids and recently modified by Ngan et al. (Refs. 20-23) for viscoelastic solids. The results of this study should help facilitate the analysis of instrumented indentation measurements in linear viscoelastic solids.

Original language	English
Pages (from-to)	3061-3071
Number of pages	11
Journal	Journal of Materials Research
Volume	20
Issue number	11
DOIs	https://doi.org/10.1557/JMR.2005.0389
State	Published - Nov 2005

Bibliographical note

Funding Information:
The authors would like to thank Mike Lukitsch, Yue Qi, Tom Perry, Wes Capehart, Lou Hector, and Mark W. Verbrugge for valuable discussions. C-M. Cheng would like to acknowledge partial support from the National Science Foundation of China, Project No. 10372101.

Funding

The authors would like to thank Mike Lukitsch, Yue Qi, Tom Perry, Wes Capehart, Lou Hector, and Mark W. Verbrugge for valuable discussions. C-M. Cheng would like to acknowledge partial support from the National Science Foundation of China, Project No. 10372101.

Funders	Funder number
National Natural Science Foundation of China (NSFC)	10372101

ASJC Scopus subject areas

General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1557/JMR.2005.0389

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title = "Determining the instantaneous modulus of viscoelastic solids using instrumented indentation measurements",

abstract = "Instrumented indentation is often used in the study of small-scale mechanical behavior of {"}soft{"} matters that exhibit viscoelastic behavior. A number of techniques have recently been proposed to obtain the viscoelastic properties from indentation load-displacement curves. In this study, we examine the relationships between initial unloading slope, contact depth, and the instantaneous elastic modulus for instrumented indentation in linear viscoelastic solids using either conical or spherical indenters. In particular, we study the effects of {"}hold-at-the-peak-load{"} and {"}hold-at-the-maximum-displacement{"} on initial unloading slopes and contact depths. We then discuss the applicability of the Oliver-Pharr method (Refs. 29, 30) for determining contact depth that was originally proposed for indentation in elastic and elastic-plastic solids and recently modified by Ngan et al. (Refs. 20-23) for viscoelastic solids. The results of this study should help facilitate the analysis of instrumented indentation measurements in linear viscoelastic solids.",

author = "Cheng, {Yang Tse} and Wangyang Ni and Cheng, {Che Min}",

note = "Funding Information: The authors would like to thank Mike Lukitsch, Yue Qi, Tom Perry, Wes Capehart, Lou Hector, and Mark W. Verbrugge for valuable discussions. C-M. Cheng would like to acknowledge partial support from the National Science Foundation of China, Project No. 10372101.",

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AU - Ni, Wangyang

AU - Cheng, Che Min

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PY - 2005/11

Y1 - 2005/11

N2 - Instrumented indentation is often used in the study of small-scale mechanical behavior of "soft" matters that exhibit viscoelastic behavior. A number of techniques have recently been proposed to obtain the viscoelastic properties from indentation load-displacement curves. In this study, we examine the relationships between initial unloading slope, contact depth, and the instantaneous elastic modulus for instrumented indentation in linear viscoelastic solids using either conical or spherical indenters. In particular, we study the effects of "hold-at-the-peak-load" and "hold-at-the-maximum-displacement" on initial unloading slopes and contact depths. We then discuss the applicability of the Oliver-Pharr method (Refs. 29, 30) for determining contact depth that was originally proposed for indentation in elastic and elastic-plastic solids and recently modified by Ngan et al. (Refs. 20-23) for viscoelastic solids. The results of this study should help facilitate the analysis of instrumented indentation measurements in linear viscoelastic solids.

AB - Instrumented indentation is often used in the study of small-scale mechanical behavior of "soft" matters that exhibit viscoelastic behavior. A number of techniques have recently been proposed to obtain the viscoelastic properties from indentation load-displacement curves. In this study, we examine the relationships between initial unloading slope, contact depth, and the instantaneous elastic modulus for instrumented indentation in linear viscoelastic solids using either conical or spherical indenters. In particular, we study the effects of "hold-at-the-peak-load" and "hold-at-the-maximum-displacement" on initial unloading slopes and contact depths. We then discuss the applicability of the Oliver-Pharr method (Refs. 29, 30) for determining contact depth that was originally proposed for indentation in elastic and elastic-plastic solids and recently modified by Ngan et al. (Refs. 20-23) for viscoelastic solids. The results of this study should help facilitate the analysis of instrumented indentation measurements in linear viscoelastic solids.

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Determining the instantaneous modulus of viscoelastic solids using instrumented indentation measurements

Abstract

Bibliographical note

Funding

ASJC Scopus subject areas

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