Browse by author
Lookup NU author(s): Dr Lluis Monforte Vila, Professor Mohamed Rouainia
Full text for this publication is not currently held within this repository. Alternative links are provided below where available.
© 2025 John Wiley & Sons Ltd.Explicit stress integration techniques for elasto-plastic constitutive models have demonstrated high-order accuracy, efficiency, and robustness. However, there is a notable absence of a proposed expression for the consistent tangent operator, which is essential to guarantee the quadratic convergence of the Newton–Raphson algorithm used in solving the global problem. Therefore, when employing explicit stress integration, the typical convergence rate of the global problem is linear. In this work, we introduce a novel expression for the consistent tangent operator specifically formulated for Runge–Kutta-based explicit stress integration techniques. The Gauss point integration algorithm involves substepping, finding the intersection of the stress path with the yield surface, and implementing a yield surface drift correction algorithm. All of these numerical procedures are linearised and integrated into the expression of the consistent tangent matrix. The assessment of the consistent tangent matrix expression is conducted through a various element tests and finite element simulations using the Modified Cam Clay model. In all the simulations, a quadratic rate of asymptotic convergence is consistently achieved with the iterative solver used in the global problem. The proposed consistent tangent operator significantly enhances the computational efficiency of explicit stress integration techniques, positioning them as a viable, high-order alternative to implicit stress integration.
Author(s): Monforte L, Rouainia M
Publication type: Article
Publication status: Published
Journal: International Journal for Numerical and Analytical Methods in Geomechanics
Year: 2025
Pages: epub ahead of print
Online publication date: 24/07/2025
Acceptance date: 01/07/2025
ISSN (print): 0363-9061
ISSN (electronic): 1096-9853
Publisher: John Wiley and Sons Ltd
URL: https://doi.org/10.1002/nag.70016
DOI: 10.1002/nag.70016
Altmetrics provided by Altmetric
