Explicit meshfree solution for large deformation dynamic problems in saturated porous media

• Published in: Acta geotechnica Vol. 13; no. 2; pp. 227 - 242
• Main Authors: Navas, Pedro, Sanavia, Lorenzo, López-Querol, Susana, Yu, Rena C.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2018; Springer Nature B.V
• Subjects: Complex Fluids and Microfluidics; Deformation; Displacement; Dynamical systems; Engineering; Entropy; Foundations; Frameworks; Geoengineering; Geotechnical Engineering & Applied Earth Sciences; Hydraulics; Mathematical models; Maximum entropy; Meshless methods; Plastic deformation; Plastics; Porous materials; Porous media; Research Paper; Saturated soils; Shape functions; Soft and Granular Matter; Soil; Soil dynamics; Soil Science & Conservation; Solid Mechanics; Time integration; Biot’s equation; Large strains; Explicit approach; Complete formulation; Meshfree
• ISSN: 1861-1125; 1861-1133
• DOI: 10.1007/s11440-017-0612-7

In this paper a new methodology to simulate saturated soils subjected to dynamic loadings under large deformation regime (locally up to 40% in equivalent plastic strain) is presented. The coupling between solid and fluid phases is solved through the complete formulation of the Biot’s equations. The additional novelty lies in the employment of an explicit time integration scheme of the u - w (solid displacement–relative fluid displacement) formulation which enables us to take advantage of such explicit schemes. Shape functions based on the principle of maximum entropy implemented in the framework of Optimal Transportation Meshfree schemes are utilized to solve both elastic and plastic problems.