Abstract
In this paper, an efficient and robust methodology to simulate saturated soils subjected to low-medium frequency dynamic loadings under large deformation regime is presented. The coupling between solid and fluid phases is solved through the dynamic reduced formulation u-p_mathrm{w} (solid displacement – pore water pressure) of the Biot’s equations. The additional novelty lies in the employment of an explicit two-steps Newmark predictor-corrector time integration scheme that enables accurate solutions of related geomechanical problems at large strain without the usually high computational cost associated with the implicit counterparts. Shape functions based on the elegant Local Maximum Entropy approach, through the Optimal Transportation Meshfree framework, are considered to solve numerically different dynamic problems in fluid saturated porous media.
Highlights
Modeling saturated soils under dynamic loads is of crucial importance when researchers deal with fast phenomena, like landslide propagation
The fluid saturated phenomenon has been widely studied in the numerical geotechnical field, where a big range of solutions can be found regarding the formulation considered for the coupled problem, the assumptions made with or without accelerations and the numerical techniques used to solve the equations, both in the spatial and temporal dimension
The first formulations aimed to describe the physics behind a saturated porous medium are found in the governing equations introduced by Biot [4], later reviewed by Zienkiewicz and coworkers [53,54,55,56]
Summary
Modeling saturated soils under dynamic loads is of crucial importance when researchers deal with fast phenomena, like landslide propagation. The more catastrophic 3D problems should include large deformations. Despite the importance of both aspects, dynamic saturated problems and large deformations, research focused on these topics at once is limited. The fluid saturated phenomenon has been widely studied in the numerical geotechnical field, where a big range of solutions can be found regarding the formulation considered for the coupled problem (either simplified or complete), the assumptions made with or without accelerations and the numerical techniques used to solve the equations, both in the spatial (mesh or meshfree-based techniques) and temporal dimension (explicit or implicit schemes). Both acceleration of fluid and solid phases are employed in the complete formulation, cov-
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