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Strain analysis of nonlocal viscoelastic Kelvin bar in tension

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Abstract

Based on viscoelastic Kelvin model and nonlocal relationship of strain and stress, a nonlocal constitutive relationship of viscoelasticity is obtained and the strain response of a bar in tension is 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 closed-form solution of strain field of the bar is 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.

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Authors and Affiliations

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

    Zhao Xue-chuan  (赵雪川), Lei Yong-jun  (雷勇军) & Zhou Jian-ping  (周建平)

Authors
  1. Zhao Xue-chuan  (赵雪川)
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  2. Lei Yong-jun  (雷勇军)
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  3. Zhou Jian-ping  (周建平)
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Corresponding author

Correspondence to Lei Yong-jun  (雷勇军).

Additional information

Communicated by FU Yi-ming

Project supported by the Science Foundation of National University of Defense Technology (No. JC06-01-01)

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Zhao, Xc., Lei, Yj. & Zhou, Jp. Strain analysis of nonlocal viscoelastic Kelvin bar in tension. Appl. Math. Mech.-Engl. Ed. 29, 67–74 (2008). https://doi.org/10.1007/s10483-008-0109-x

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  • DOI: https://doi.org/10.1007/s10483-008-0109-x

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Chinese Library Classification

2000 Mathematics Subject Classification

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