An unconditionally stable explicit finite element algorithm for coupled hydromechanical problems of soil mechanics in pseudo-static conditions
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectPRINCIPIOS Y APLICACIONES DE LA MECANICA DEL SUELO PARA ANCLAJE DE INSTALACIONES MARINAS DE ENERGIAS RENOVABLES (AEI-PID2020-119598RB-I00)
In this article, we present a novel explicit time-integration algorithm for the coupled hydromechanical soil mechanics problems in a pseudo-static regime. After introducing the finite element discretization, the semidiscrete ordinary system of equations is integrated explicitly in time with the Runge–Kutta method. It is noted that this formulation is conditionally stable in time. By introducing a stabilization technique, the Polynomial Pressure Projection, and selecting appropriately the stabilization parameter, the formulation becomes unconditionally stable. To illustrate the performance of the method several numerical analysis are reported, considering both elastic and elasto-plastic soil behavior.
This is the peer reviewed version of the following article: [Monforte, L, Carbonell, JM, Arroyo, M, Gens, A. An unconditionally stable explicit finite element algorithm for coupled hydromechanical problems of soil mechanics in pseudo-static conditions. Int J Numer Methods Eng. 2022; 123( 21): 5319– 5345. doi:10.1002/nme.7064], which has been published in final form https://doi.org/10.1002/nme.7064. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
CitationMonforte, L. [et al.]. An unconditionally stable explicit finite element algorithm for coupled hydromechanical problems of soil mechanics in pseudo-static conditions. "International journal for numerical methods in engineering", Novembre 2022, vol. 123, núm. 21, p. 5319-5345.