Strain analysis of nonlocal viscoelastic Kelvin bar in tension |
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Authors: | Zhao Xue-chuan Lei Yong-jun Zhou Jian-ping |
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Institution: | Coilege of Aerospace and Material Engineering, National Univers!ty of D6fense Technology, Changsha 410073, P. R. China |
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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.
Project supported by the Science Foundation of National University of Defense Technology (No. JC06-01-01) |
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Keywords: | nonlocal theory Kelvin viscoelasticity Neumann series bar strain analysis |
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