3-D time-dependent analysis of multilayered cross-anisotropic saturated soils based on the fractional viscoelastic model |
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| Institution: | 1. Department of Civil Engineering, Tianjin University, Tianjin 300072, China;2. Key Laboratory of Coast Civil Structure Safety (Tianjin University), Tianjin 300072, China;3. Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089-2531, USA;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300350, China;2. Department of Civil Engineering, Tianjin University, Tianjin 300350, China;1. School of Civil Engineering, Architecture and Urbanism, University of Campinas, FEC-UNICAMP, Rua Saturnino de Brito, 224, CEP 13083-889 Campinas, SP, Brazil;2. School of Mechanical Engineering, University of Campinas, FEM-UNICAMP, Rua Mendeleyev, 200, CEP 13083-860 Campinas, SP, Brazil |
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| Abstract: | The fractional Merchant viscoelastic model is introduced to simulate the viscoelasticity of soil skeleton in this study. According to the elastic-viscoelastic correspondence principle, elastic parameters including shear modulus Gv, horizontal elastic modulus Eh and vertical elastic modulus Ev are replaced by the reciprocal of the flexibility coefficient of viscoelastic media in the Laplace transformed domain. Then, based on the precise integration solutions of multilayered cross-anisotropic elastic saturated soils, 3-D solutions of viscoelastic saturated soils are derived. The final solutions in the physical domain are obtained by the Laplace numerical inversion. The correctness of theories and programs is verified by comparing the numerical results with existing references. Sensitivity analyses are conducted to investigate the effects of viscoelastic parameters, cross-anisotropic parameters and stratification of soils on time-dependent displacement and excess pore water pressure. |
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