Technical Brief

Bridging Length Scales in the Analysis of Transient Tests for Metallic Materials

[+] Author and Article Information
Aditya Gokhale

Applied Mechanics,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: amz148021@am.iitd.ac.in

Krishnaswamy Hariharan

Mechanical Engineering,
Indian Institute of Technology Madras,
Chennai 600036, India
e-mail: hariharan@iitm.ac.in

Jayant Jain

Applied Mechanics,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: jayantj@iitd.ac.in

Rajesh Prasad

Applied Mechanics,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: rajesh@am.iitd.ac.in

Heung Nam Han

Research Institute of Advanced Materials,
Seoul National University,
Seoul 08826, South Korea
e-mail: hnhan@snu.ac.kr

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received August 18, 2017; final manuscript received June 21, 2018; published online July 18, 2018. Editor: Mohammed Zikry.

J. Eng. Mater. Technol 141(1), 014501 (Jul 18, 2018) (5 pages) Paper No: MATS-17-1241; doi: 10.1115/1.4040671 History: Received August 18, 2017; Revised June 21, 2018

The transient data obtained during stress relaxation test of polycrystalline materials has broader implications. The test is influenced by the material length scale. Efforts to mathematically bridge data at different length scales is scarce. In the present work, it is attempted to modify a recently proposed stress relaxation model with additional coefficients to accommodate the mechanical behavior at different length scales. The macroscale stress relaxation test was performed using a tensile testing machine, whereas the micro- and nanoscale specimens were tested using indentation technique. Assuming power law rate behavior, a scaling relation is derived initially to correlate the indentation pressure and flow stress.

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Grahic Jump Location
Fig. 1

Change in penetration depth during relaxation shown along with ideal constant depth

Grahic Jump Location
Fig. 2

Variation of penetration depth as a function of hold time. Best fit curve of the form h(t)=h0+λ1 exp(λ2t). (h0 = 1.98 μm, λ1 = 0.01, λ2 = −0.11).

Grahic Jump Location
Fig. 3

Experimental and corrected load versus time during relaxation

Grahic Jump Location
Fig. 4

Two-dimensional view of indent impression

Grahic Jump Location
Fig. 5

Line profiles on AFM image shown in (a)

Grahic Jump Location
Fig. 6

σ versus t obtained across different length scales. The data corresponding to nano- and micro-indentation are scaled using Eq. (6).



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