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Time-dependent behavior of layered arches with viscoelastic interlayers

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Abstract

This work studies the time-dependent behavior of a layered arch adhesively bonded by viscoelastic interlayers. The deformation of the viscoelastic interlayer is represented by the Maxwell–Wiechert model. The constitutive relation in an interlayer is simplified through the quasi-elastic approximation approach. The mechanical property of an arch layer is described by the exact two-dimensional (2-D) elasticity theory in polar coordinates. The stress and displacement components in an arch layer, which strictly satisfy the simply supported boundary conditions, have been analytically derived out. The stresses and displacements are efficiently obtained by means of the recursive matrix method for the arch with any number of layers. The comparison study shows that the 2-D finite element solution has good agreement with the present one, while the solution based on the one-dimensional (1-D) Euler–Bernoulli theory has considerable error, especially for thick arches. The influences of geometrical and material parameters on the time-dependent behavior of the layered arch are analyzed in detail.

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Acknowledgements

This work is financially supported by the National Key Basic Research Program of China (Grant No. 2012CB026205), the Key Program of National Natural Science Foundation of China (Grant No. 51238003), the National Nature Science Foundation of China (Grant No. 51578285), and the Ph.D. Short-term Visiting Foundation of Nanjing Tech University.

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Authors and Affiliations

  1. College of Civil Engineering, Nanjing Tech University, Nanjing, 211816, P.R. China

    Peng Wu, Ding Zhou, Weiqing Liu & Hai Fang

  2. Faculty of Architecture and Civil Engineering, Huaiyin Institute of Technology, Huaian, 223300, P.R. China

    Ding Zhou

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  1. Peng Wu
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  2. Ding Zhou
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  3. Weiqing Liu
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  4. Hai Fang
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Correspondence to Ding Zhou.

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Wu, P., Zhou, D., Liu, W. et al. Time-dependent behavior of layered arches with viscoelastic interlayers. Mech Time-Depend Mater 22, 315–330 (2018). https://doi.org/10.1007/s11043-017-9358-8

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