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Research Papers

# Modeling Nanowire Indentation Test With Adhesion Effect

[+] Author and Article Information
Yin Zhang, Ya-pu Zhao

State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

J. Appl. Mech 78(1), 011007 (Oct 12, 2010) (12 pages) doi:10.1115/1.4002305 History: Received November 02, 2009; Revised February 07, 2010; Posted August 03, 2010; Published October 12, 2010; Online October 12, 2010

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## Figures

Figure 7

The cylinder displacements of l=4 and F=0.1 for α=0, 1×10−3, and 3×10−3, respectively

Figure 9

(a) The cylinder center displacement (W(0)) of l=4 as a function of α for F=0.1 and 0.2, respectively. (b) The right-side contact length (ξ2) as a function of α for F=0.1 and 0.2, respectively.

Figure 10

The cylinder displacements of l=8 and F=0.1 for α=0, 4×10−3, and 8×10−3, respectively

Figure 1

(a) The schematic diagram of a cylinder with Young’s modulus E1, Poisson ratio ν1, radius R and length L in contact with an elastic medium with E2 and ν2. J is the concentrated load and P is the uniformly distributed line load. (b) The contact profile in x−z plane. For the rigid contact scenario, the whole cylinder sinks into the elastic medium with a constant δ. For the flexible contact scenario, the cylinder lifts-off and δ varies with x. x1 and x2 are the left-side and right-side contact lengths. (c) The contact area in x−y plane. For the rigid contact scenario, the contact area is a rectangle and the contact width 2a is constant. For the flexible contact scenario, the contact is an ellipselike zone and the contact width 2a varies with x.

Figure 2

(a) Geometric relations of R, δ, and a in a cylinder contact and (b) the discontinuous contact scenario in which the cylinder has multiple separated contact zones

Figure 3

(a) The displacement comparison of flexible contact and rigid contact when l=4 and F=0.1, 0.2, respectively. The concentrated load F is at center, i.e., l1=l2=2. (b) The comparison of contact zones.

Figure 4

(a) The displacement comparison of flexible contact and rigid contact when l=8 and F=0.1, 0.2, respectively. The concentrated load F is at center, i.e., l1=l2=4. (b) The comparison of contact zones.

Figure 5

The asymmetric contact scenario. The cylinder length is l=8 and the concentrated force F is located at l1=2.4 and l2=5.6. The comparison of (a) the displacement and (b) the contact zone.

Figure 6

(a) The comparison of A/2Rβ of the rigid and flexible contact scenarios as a function of F for l=4 and 8, respectively. For the flexible contact, A is taken at ξ=0. (b) The comparison of A/2Rβ of the rigid and flexible contact scenarios as a function of l for F=0.1 and 0.5, respectively.

Figure 8

The comparison of the cylinder displacements of l=4 and α=1×10−3 for F=0.1 and 0.2, respectively

Figure 11

The comparison of the cylinder displacements of l=8 and α=4×10−3 for F=0.1 and 0.2, respectively

Figure 12

(a) The cylinder center displacement (W(0)) of l=8 as a function of α for F=0.1 and 0.2, respectively. (b) The right-side contact length (ξ2) as a function of α for F=0.1 and 0.2, respectively.

Figure 13

Comparison of the cylinder contact scenarios under tension and compression

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