Journal
APPLIED MATHEMATICAL MODELLING
Volume 91, Issue -, Pages 875-891Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2020.09.019
Keywords
Layered saturated soils; Elastic superstratum; Analytical layer-element; Vertical impulsive loading; Laplace-Hankel transform
Funding
- Fundamental Research Funds for the Central Universities [22120180311]
- National Natural Science Foundation of China [41672275]
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This study derives analytical layer-elements for dynamic response of saturated multilayered soils under vertical impulsive loadings based on elastodynamics and Biot's poroelastodynamics framework. The total stiffness matrices are obtained by assembling individual layer-elements considering boundary and continuity conditions. Numerical examples validate the accuracy of the proposed method and illustrate the influence of various factors on the dynamic response of saturated soils.
Under the framework of elastodynamics and Biot's poroelastodynamics, the analytical layer-elements for every single layer of elastic and saturated media are derived by virtue of Laplace-Hankel integral transform. Taking boundary and continuity conditions into consideration, total stiffness matrices are obtained by assembling every single analytical layer-element together. Solutions in time domain are presented by using an inverse Laplace-Hankel integral transform. Numerical examples are given to verify the accuracy of proposed method, and to demonstrate the influences of the thickness of elastic soil, interfacial permeability between saturated soils and the elastic superstratum and the stratification of saturated media on the dynamic response of saturated multilayered soils with elastic superstratum subjected to vertical impulsive loadings. (C) 2020 Elsevier Inc. All rights reserved.
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