Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams

Z. F. Shi; B. Huang; H. Tan; Y. Huang; T. Y. Zhang; P. D. Wu; K. C. Hwang; H. Gao

Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams

Z. F. Shi, B. Huang, H. Tan, Y. Huang, T. Y. Zhang, P. D. Wu, K. C. Hwang, H. Gao

Civil and Environmental Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A simple method is established to determine the microscale uniaxial stress-strain curve from the load and deflection data for a doubly clamped beam. The method is based on the fact that, for beam deflection much larger than the beam thickness, the axial stretching dominates the deformation in the doubly clamped beam and the doubly clamped beam behaves like a simple plastic hinge. The microscale uniaxial stress-strain curve, together with the cantilever beam experiments, is used to determine the strain gradient effect in Au thin beams. By comparing with the experimental data for a cantilever Au thin beam, the parameter α was obtained as 0.246. The effect of finite rotation is accounted for, and the results agree well with the experiments for a cantilever Au thin beam subjected to large deflection.

Original language	English (US)
Title of host publication	Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008
Pages	275
Number of pages	1
State	Published - 2008
Event	Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008 - Huangshan, China Duration: Jun 3 2008 → Jun 8 2008

Publication series

Name	Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008

Other

Other	Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008
Country/Territory	China
City	Huangshan
Period	6/3/08 → 6/8/08

Funding

The support from the Office of Naval Research (Grant #N00014-01-1-0205, Program Officer Dr. Y.D.S. Rajapakse) and NSFC is knowledged. Bin Huang and Tong-Yi Zhang were supported by a Competitive Earmarked Research Grant from the Research Grants Council of the Hong Kong Special Administrative Region, China.

Keywords

Microscale uniaxial stress-strain curve
Strain gradient effect
Thin beam

ASJC Scopus subject areas

Materials Science (miscellaneous)
Materials Chemistry

Cite this

Shi, Z. F., Huang, B., Tan, H., Huang, Y., Zhang, T. Y., Wu, P. D., Hwang, K. C., & Gao, H. (2008). Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams. In Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008 (pp. 275). (Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008).

Shi, Z. F. ; Huang, B. ; Tan, H. et al. / Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams. Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008. 2008. pp. 275 (Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008).

@inproceedings{3ae65191b1564704b19432027fa99b1b,

title = "Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams",

abstract = "A simple method is established to determine the microscale uniaxial stress-strain curve from the load and deflection data for a doubly clamped beam. The method is based on the fact that, for beam deflection much larger than the beam thickness, the axial stretching dominates the deformation in the doubly clamped beam and the doubly clamped beam behaves like a simple plastic hinge. The microscale uniaxial stress-strain curve, together with the cantilever beam experiments, is used to determine the strain gradient effect in Au thin beams. By comparing with the experimental data for a cantilever Au thin beam, the parameter α was obtained as 0.246. The effect of finite rotation is accounted for, and the results agree well with the experiments for a cantilever Au thin beam subjected to large deflection.",

keywords = "Microscale uniaxial stress-strain curve, Strain gradient effect, Thin beam",

author = "Shi, {Z. F.} and B. Huang and H. Tan and Y. Huang and Zhang, {T. Y.} and Wu, {P. D.} and Hwang, {K. C.} and H. Gao",

note = "Funding Information: The support from the Office of Naval Research (Grant #N00014-01-1-0205, Program Officer Dr. Y.D.S. Rajapakse) and NSFC is knowledged. Bin Huang and Tong-Yi Zhang were supported by a Competitive Earmarked Research Grant from the Research Grants Council of the Hong Kong Special Administrative Region, China.; Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008 ; Conference date: 03-06-2008 Through 08-06-2008",

year = "2008",

language = "English (US)",

isbn = "9781932078800",

series = "Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008",

pages = "275",

booktitle = "Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008",

}

Shi, ZF, Huang, B, Tan, H, Huang, Y, Zhang, TY, Wu, PD, Hwang, KC & Gao, H 2008, Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams. in Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008. Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008, pp. 275, Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008, Huangshan, China, 6/3/08.

Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams. / Shi, Z. F.; Huang, B.; Tan, H. et al.
Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008. 2008. p. 275 (Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams

AU - Shi, Z. F.

AU - Huang, B.

AU - Tan, H.

AU - Huang, Y.

AU - Zhang, T. Y.

AU - Wu, P. D.

AU - Hwang, K. C.

AU - Gao, H.

N1 - Funding Information: The support from the Office of Naval Research (Grant #N00014-01-1-0205, Program Officer Dr. Y.D.S. Rajapakse) and NSFC is knowledged. Bin Huang and Tong-Yi Zhang were supported by a Competitive Earmarked Research Grant from the Research Grants Council of the Hong Kong Special Administrative Region, China.

PY - 2008

Y1 - 2008

N2 - A simple method is established to determine the microscale uniaxial stress-strain curve from the load and deflection data for a doubly clamped beam. The method is based on the fact that, for beam deflection much larger than the beam thickness, the axial stretching dominates the deformation in the doubly clamped beam and the doubly clamped beam behaves like a simple plastic hinge. The microscale uniaxial stress-strain curve, together with the cantilever beam experiments, is used to determine the strain gradient effect in Au thin beams. By comparing with the experimental data for a cantilever Au thin beam, the parameter α was obtained as 0.246. The effect of finite rotation is accounted for, and the results agree well with the experiments for a cantilever Au thin beam subjected to large deflection.

AB - A simple method is established to determine the microscale uniaxial stress-strain curve from the load and deflection data for a doubly clamped beam. The method is based on the fact that, for beam deflection much larger than the beam thickness, the axial stretching dominates the deformation in the doubly clamped beam and the doubly clamped beam behaves like a simple plastic hinge. The microscale uniaxial stress-strain curve, together with the cantilever beam experiments, is used to determine the strain gradient effect in Au thin beams. By comparing with the experimental data for a cantilever Au thin beam, the parameter α was obtained as 0.246. The effect of finite rotation is accounted for, and the results agree well with the experiments for a cantilever Au thin beam subjected to large deflection.

KW - Microscale uniaxial stress-strain curve

KW - Strain gradient effect

KW - Thin beam

UR - http://www.scopus.com/inward/record.url?scp=56649124689&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=56649124689&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:56649124689

SN - 9781932078800

T3 - Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008

SP - 275

BT - Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008

T2 - Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008

Y2 - 3 June 2008 through 8 June 2008

ER -

Shi ZF, Huang B, Tan H, Huang Y, Zhang TY, Wu PD et al. Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams. In Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008. 2008. p. 275. (Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008).

Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams

Abstract

Publication series

Other

Funding

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this