An unconditionally stable explicit finite element algorithm for coupled hydromechanical problems of soil mechanics in pseudo‐static conditions

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 Rung...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2022-11, Vol.123 (21), p.5319-5345
Main Authors: Monforte, Lluís, Carbonell, Josep Maria, Arroyo, Marcos, Gens, Antonio
Format: Article
Language:English
Subjects:
Algorithms
coupled problems
explicit integration
Numerical analysis
Polynomials
Runge-Kutta method
Runge–Kutta methods
Soil mechanics
Stabilization
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Summary: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.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.7064