3-D time-dependent analysis of multilayered cross-anisotropic saturated soils based on the fractional viscoelastic model
Autor: | Zhi Yong Ai, Jun Chao Gui, Jin Jing Mu |
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Rok vydání: | 2019 |
Předmět: |
Materials science
Laplace transform Applied Mathematics Stratification (water) 02 engineering and technology Mechanics 01 natural sciences Viscoelasticity Shear modulus Pore water pressure 020303 mechanical engineering & transports 0203 mechanical engineering Modeling and Simulation 0103 physical sciences Saturated soils Anisotropy 010301 acoustics Elastic modulus |
Zdroj: | Applied Mathematical Modelling. 76:172-192 |
ISSN: | 0307-904X |
DOI: | 10.1016/j.apm.2019.06.018 |
Popis: | 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. |
Databáze: | OpenAIRE |
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