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Research Papers

Surface/Interface Effect on Dynamic Stress Around a Nanoinclusion in a Semi-Infinite Slab Under Shear Waves

[+] Author and Article Information
Xue-Qian Fang

e-mail: stduxfang@yeah.net

Le-Le Zhang

Department of Engineering Mechanics,
Shijiazhuang Tiedao University,
Shijiazhuang, 050043, China;Institute of Engineering Mechanics,
Beijing Jiaotong University,
Beijing 100044, China

Wen-Jie Feng

Department of Engineering Mechanics,
Shijiazhuang Tiedao University,
Shijiazhuang, 050043, China

1Corresponding author.

Contributed by Technical Committee on Vibration and Sound of ASME for publication in the JOURNALOF VIBRATIONAND ACOUSTICS. Manuscript received April 19, 2011; final manuscript received April 30, 2012; published online October 29, 2012. Assoc. Editor: Thomas J. Royston.

J. Vib. Acoust 134(6), 061011 (Oct 29, 2012) (8 pages) doi:10.1115/1.4007022 History: Received April 19, 2011; Revised April 30, 2012

This work examines the surface/interface effect on the dynamic stress around a cylindrical nanoinclusion embedded in an elastic semi-infinite slab subjected to antiplane shear waves, and the nanosize effect is considered. The wave function expansion method is employed to express the wave fields in the nanosized structure. The traction free boundary conditions at the three edges of this structure are considered and satisfied by using the image method. The analytical and numerical solutions of the dynamic stress concentration factor around the nanoinclusion are presented. Analyses show that the three edges of the nanosized structure manifest different effects of the dynamic stress around the nanoinclusion. The size effect is also related to the interface properties, the wave frequency of incident waves, and the material properties ratio of the nanoinclusion to matrix. To show the accuracy of the results for certain given parameters, comparison with the existing results is also given.

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Figures

Grahic Jump Location
Fig. 1

A semi-infinite slab embedded with a cylindrical nanoinclusion subjected to antiplane shear waves and wave fields

Grahic Jump Location
Fig. 2

Schematic drawing of image method in the semi-infinite slab

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Fig. 3

Comparison with the existing solutions n=0,μ*=0,f=0,b*=8,h1*=h2*=10

1 k*=0.5 obtained from this paper; 2 k*=0.5 in Ref. [16]

3 k*=1.0 obtained from this paper; 4 k*=1.0 in Ref. [16]

Grahic Jump Location
Fig. 4

Dynamic stress distribution around the nanoinclusion with n=0,k*=0.5,μ*=2.0,b*=8,h1*=h2*=10

1. f=0; 2. f=0.2; 3. f=4.0

Grahic Jump Location
Fig. 5

Dynamic stress distribution around the nanoinclusion with n=0,k*=0.5,μ*=0.2,b*=8,h1*=h2*=10

1. f=0; 2. f=0.1; 3. f=4.0

Grahic Jump Location
Fig. 6

Dynamic stress distribution around the nanoinclusion with n=0,k*=1.5,μ*=2.0,b*=8,h1*=h2*=10

1. f=0; 2. f=0.2; 3. f=4.0

Grahic Jump Location
Fig. 7

Dynamic stress distribution around the nanoinclusion with n=0,k=0.5,μ*=2.0,b*=1.2,h1*=h2*=10

1 f=0; 2. f=0.2; 3. f=4.0

Grahic Jump Location
Fig. 8

Dynamic stress distribution around the nanoinclusion with n=0,k*=0.5,μ*=0.2,b*=1.1, h1*=h2*=10

1. f=0; 2. f=0.1; 3. f=4.0

Grahic Jump Location
Fig. 9

Dynamic stress distribution around the nanoinclusion with n=0,k*=1.5,μ*=2.0,b*=1.2,h1*=h2*=10

1. f=0; 2. f=0.2; 3. f=4.0

Grahic Jump Location
Fig. 10

Dynamic stress distribution around the nanoinclusion with n=0,k*=0.5,μ*=2.0,b*=1.1,h1*=1.5, h2*=10

1. f=0; 2. f=0.2; 3. f=4.0

Grahic Jump Location
Fig. 11

Dynamic stress distribution around the nanoinclusion with n=0,k*=1.5,μ*=2.0,b*=1.1, h1*=1.5, h2*=10

1. f=0; 2. f=0.2; 3. f=4.0

Grahic Jump Location
Fig. 12

Dynamic stress distribution around the nanoinclusion with n=0,k*=0.5,μ*=2.0,b*=1.1,h1*=h2*=1.5

1. f=0; 2. f=0.2; 3. f=4.0

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