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Research Papers

# Adhesion Between Thin Cylindrical Shells With Parallel Axes

[+] Author and Article Information
Carmel Majidi1

Princeton Institute for the Science and Technology of Materials, Princeton University, Princeton, NJ 08544cmajidi@princeton.edu

Kai-tak Wan2

Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115ktwan@coe.neu.edu

1

Current address: School of Engineering and Applied Sciences (SEAS), Harvard University, Cambridge, MA 02138.

2

Corresponding author.

J. Appl. Mech 77(4), 041013 (Apr 14, 2010) (10 pages) doi:10.1115/1.4000924 History: Received July 02, 2009; Revised October 05, 2009; Published April 14, 2010; Online April 14, 2010

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## Figures

Figure 1

Interactions between two cylindrical shells: (a) touching at a line contact without adhesion, (b) compressive deformation with adhesion, and (c) tensile deformation with adhesion

Figure 2

Curvilinear coordinates

Figure 3

Adhesion between two identical cylindrical shells with the same bending stiffness (k1=k2=1) and radii (R1=R2=1) under a compressive load F for γ=3 (unless indicated otherwise). (a) Deformed profile with pole of bottom cylinder as reference. (b) Half contact arc length as a function of compressive load. (c) Compressive load F as a function of compression distance w, with the dashed line indicating line contact (a=0) where adhesion has no influence on the interacting cylinders.

Figure 4

Adhesion between two cylindrical shells with the same bending stiffness (k1=k2=1) but different radii (R1=1,R2=0.5) under a compressive load F for γ=3 (unless indicated otherwise). (a) Deformed profile. (b) Half contact arc length as a function of compressive load. (c) Compressive load F as a function of compression distance w, with the dashed line indicating line contact (a=0) where adhesion has no influence.

Figure 5

Adhesion between two cylindrical shells with the same radii (R1=R2=1) but different bending stiffnesses (k1=1,k2=0.5) under a compressive load F for γ=3 (unless indicated otherwise). (a) Deformed profile. (b) Half arc contact length as a function of compressive load. (c) Compressive load F as a function of compression distance w, with the dashed line indicating line contact (a=0) where adhesion has no influence.

Figure 6

Normalized pull-off strength F0 as a function of adhesion energy γ. (a) Same radius (R1=R2=1), but different stiffness with k1=1. (b) Same stiffness (k1=k2=1), but different radii with R1=1.

Figure 7

Threshold radius for line contact (a=0) as function of stiffness and adhesion energy. (Rmin=(k/γ)1/2 for R1=R2=R and k1=k2=k.)

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