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, Yonggang Huang, T. Y. Zhang, P. D. Wu, K. C. Hwang, H. Gao

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationAdvances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008
Number of pages1
StatePublished - Nov 28 2008
EventAdvances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008 - Huangshan, China
Duration: Jun 3 2008Jun 8 2008

Publication series

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

Other

OtherAdvances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008
CountryChina
CityHuangshan
Period6/3/086/8/08

Fingerprint

Stress-strain curves
Cantilever beams
Hinges
Stretching
Experiments
Plastics

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., ... 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).
Shi, Z. F. ; Huang, B. ; Tan, H. ; Huang, Yonggang ; Zhang, T. Y. ; Wu, P. D. ; Hwang, K. C. ; Gao, H. / 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. (Advances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008).
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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 Yonggang Huang and Zhang, {T. Y.} and Wu, {P. D.} and Hwang, {K. C.} and H. Gao",
year = "2008",
month = "11",
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language = "English (US)",
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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, 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.; Huang, Yonggang; Zhang, T. Y.; Wu, P. D.; Hwang, K. C.; Gao, H.

Advances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008. 2008. (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 proceedingConference 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, Yonggang

AU - Zhang, T. Y.

AU - Wu, P. D.

AU - Hwang, K. C.

AU - Gao, H.

PY - 2008/11/28

Y1 - 2008/11/28

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

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M3 - Conference contribution

SN - 9781932078800

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

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

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