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Kelvin-Voigt model for dynamics of crack opening in shrinkage cracking

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KSCE Journal of Civil Engineering Aims and scope

Abstract

According to an exhibition of clay soils consisting of not only elastic but also viscous properties, we present Kelvin-Voigt model combined by an elastic spring and a damper in parallel to investigate the dynamics of crack opening. The equation of motion of crack opening is derived mathematically from the equilibrium equation; that means the frictional shear stress is equal to the tension in the soil. After obtaining the equation of motion, the experiments were carried out in laboratory on Kaolin to validate the proposed model through cracks. The obtained experimental data were fitted by the dynamical equation of motion using curve-fitting method. The results indicate that the proposed model yields a good correlation between the experiment data and the computed values with the fairly high coefficient of regression (=0.98). Therefore, it is concluded that the proposed Kelvin-Voigt model can be used appropriately for describing the dynamics of crack opening in clays.

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Authors and Affiliations

  1. Dept. of Civil and Environmental Engineering, University of Ulsan, Ulsan, 680-749, Korea

    Tuk-Ki Min & Nhat Vo-Dai

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  1. Tuk-Ki Min
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  2. Nhat Vo-Dai
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Correspondence to Tuk-Ki Min.

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Min, TK., Vo-Dai, N. Kelvin-Voigt model for dynamics of crack opening in shrinkage cracking. KSCE J Civ Eng 12, 149–154 (2008). https://doi.org/10.1007/s12205-008-0149-2

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  • DOI: https://doi.org/10.1007/s12205-008-0149-2

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