Long-Term Deformation Analysis for a Vertical Concentrated Force Acting in the Interior of Fractional Derivative Viscoelastic Soils
Publication: International Journal of Geomechanics
Volume 20, Issue 5
Abstract
This paper gives a set of time-dependent displacement solutions for the case of a vertical concentrated force acting in the interior of fractional derivative viscoelastic soils. First, a three-dimensional fractional derivative viscoelastic model is introduced to describe the creep behavior of soils. Then based on the well-known Mindlin's elastic solutions and the correspondence principle from static elasticity to quasi-static viscoelasticity, the proposed precise solutions are systematically obtained in the Laplace transform domain. Subsequently, the proposed displacement solutions are validated against three previously published solutions, and all of the comparisons show a good agreement. Finally, parametric study and discussion are given, to analyze in detail the influence of parameters on the solutions. It is indicated that the displacements for fractional derivative viscoelastic models are smaller in the early stage and larger in the later stage than those for conventional viscoelastic models, and the proposed displacement solutions are more general.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (No. 51778345, No. 41877252), the Shandong Provincial Natural Science Foundation for Distinguished Young Scholars (No. JQ201811), the Key Research and Development Foundation of Shandong Province of China (No. 2019GSF109006), the Key Laboratory of Geotechnical and Underground Engineering (Tongji University), the Ministry of Education (No. KLE-TJGE-B1802), the program of Qilu Young Scholars of Shandong University, and the Young Scholars Program of Shandong University (No. 2017WLJH32). Great appreciation goes to the editorial board and the reviewers of this paper.
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Published In
International Journal of Geomechanics
Volume 20 • Issue 5 • May 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Mar 14, 2019
Accepted: Sep 25, 2019
Published online: Mar 16, 2020
Published in print: May 1, 2020
Discussion open until: Aug 17, 2020
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