Dynamic analysis of fractional poroviscoelastic reinforced subgrade under moving loading

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-09-02 DOI:10.1016/j.enganabound.2024.105935

Zhi Yong Ai, Lei Yang, Li Wei Shi, Xing Kai Wang

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Abstract

This paper conducts the dynamic analysis of fractional poroviscoelastic reinforced subgrade under moving loading. Based on the Biot theory and transversely isotropic (TI) parameter expression of the geogrid reinforced subgrade, the governing equations of the poroelastic reinforced subgrade are established in the wavenumber domain by the double Fourier transform. Considering the viscosity of the soil skeleton and the flow-dependent viscosity between the soil skeleton and pore water, the governing equations are extended to the fractional poroviscoelastic medium by introducing the Zener viscoelastic model, fractional calculus theory and the dynamic elastic-viscoelastic correspondence principle. Combining boundary conditions and interlayer continuity conditions, the extended precise integration method (PIM) and double Fourier integral transform are employed to obtain the solution of fractional poroviscoelastic reinforced subgrade in the spatial domain. After the numerical validation, a sensitivity analysis of the relaxation time, permeability, reinforcement ratio and the load velocity are conducted.

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移动荷载下的部分孔隙弹性加固路基动态分析

本文对移动荷载作用下的部分孔弹性加筋路基进行了动力学分析。基于土工格栅加固路基的 Biot 理论和横向各向同性（TI）参数表达式，通过双傅立叶变换建立了波弹性加固路基在波数域的控制方程。考虑到土骨架的粘性以及土骨架与孔隙水之间的流动粘性，通过引入齐纳粘弹性模型、分数微积分理论和动态弹性-粘弹性对应原理，将治理方程扩展到分数孔隙粘弹性介质。结合边界条件和层间连续性条件，采用扩展精确积分法（PIM）和双傅里叶积分变换，得到了空间域中的分数孔粘弹性加筋路基解。数值验证后，对松弛时间、渗透率、加固比和荷载速度进行了敏感性分析。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.