Strain Analysis of Nonlocal Viscoelastic Kelvin Bar in Tension

ZHAO Xue-chuan; LEI Yong-jun; ZHOU Jian-ping

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ZHAO Xue-chuan, LEI Yong-jun, ZHOU Jian-ping. Strain Analysis of Nonlocal Viscoelastic Kelvin Bar in Tension[J]. Applied Mathematics and Mechanics, 2008, 29(1): 62-68.

Citation:

ZHAO Xue-chuan, LEI Yong-jun, ZHOU Jian-ping. Strain Analysis of Nonlocal Viscoelastic Kelvin Bar in Tension[J]. Applied Mathematics and Mechanics, 2008, 29(1): 62-68.

Citation:

ZHAO Xue-chuan, LEI Yong-jun, ZHOU Jian-ping. Strain Analysis of Nonlocal Viscoelastic Kelvin Bar in Tension[J]. Applied Mathematics and Mechanics, 2008, 29(1): 62-68.

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Strain Analysis of Nonlocal Viscoelastic Kelvin Bar in Tension

College of Aerospace and Material Engineering, National University of Defense Technology, Changsha, Hunan 410073, P. R. China

Received Date: 2006-04-25
Rev Recd Date: 2007-11-19
Publish Date: 2008-01-15

Abstract

Abstract

Based on viscoelastic Kelvin model and nonlocal relationship of strain and stress, a nonlocal constitutive relationship of viscoelasticity was obtained and the strain response of a bar in tension was studied. By transforming governing equation of the strain analysis into Volterra integration form and by choosing a symmetric exponential form of kernel function and adapting Neumann series, the close form solution of strain field of the bar was obtained. The creep process of the bar is presented. When time approaches infinite, the strain of bar is equal to the one of nonlocal elasticity.
- nonlocal theory,
- Kelvin viscoelasticity,
- Neumann series,
- bar,
- strain analysis

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References(17)

References

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