Refined explicit integration of elastoplastic models with automatic error control

By Scott W. Sloan, A. Abbo, D. Sheng. 2001

475 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/457633b294a08758b642c04f75a1378e1e6a29b1

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In Civil and Structural Engineering

In Computational Mechanics

Citations in the corpus

Implicit and explicit integration schemes in the anisotropic bounding surface plasticity model for cyclic behaviours of saturated clay (2014, unknown): “In addition to the return mapping integration approach, the explicit integration scheme based on the forward modified Euler method with automatic sub-stepping and error control [12] is also adopted to integrate the rate form of stress–strain relations in the present model.”
Finite element formulation and algorithms for unsaturated soils. Part I: Theory (2003, methodology): “Therefore, we will provide all necessary details for Steps 1–3 here, even though this means some overlap with the paper by Sloan et al. [ 37 ].”
Improved explicit integration in plasticity (2010, methodology): “One way to cope with this problem is to divide the increment, when the increase of error in the increment exceeds the prescribed tolerance, into a number of subincrements, the method being called a substepping method [3, 5].”
Stress integration and mesh refinement for large deformation in geomechanics (2006, unknown): “[11].”
Return mapping for nonsmooth and multiscale elastoplasticity (2009, background): “, a violation of the consistency condition [24,25].”
A new modelling approach for unsaturated soils using independent stress variables (2008, background): “The implementation fol- lows Sheng et al. (2000, 2003a, 2003b) and Sloan et al. (2001).”
Finite element formulation and algorithms for unsaturated soils. Part II: Verification and application (2003, methodology): “This is based upon the modified Euler method with automatic subincrementation and error control [ 1 ,2].”
A constitutive model for unsaturated soils: thermomechanical and computational aspects (2004, methodology): “The accuracy of explicit schemes, which is often perceived as their weak point, can be significantly improved by implementing automatic substepping and error control techniques (Sloan, 1987; Sloan et al. 2001; Sheng et al. 2003).”
An interior‐point algorithm for elastoplasticity (2007, background): “Here the substepping schemes developed by Sloan and his co-workers [15–20] have proved particularly efficient, not least in forming a reliable basis for formulating a general purpose solver that can be used for a wide variety of models.”
Slope stability analysis based on the Coupled Eulerian-Lagrangian finite element method (2018, methodology): “The explicit scheme directly advances the solutions in time by the finite difference method and shows much more advantages for nonlinear problems than the implicit scheme (Benson 1995; Sloan et al. 2001).”
A return map algorithm for general isotropic elasto/visco‐plastic materials in principal space (2004, background): “For this reason, several approaches have been proposed in the literature [25–30]; in some cases [31], implicit procedures are abandoned in favour of explicit ones [32, 33] because of their complicated algorithmic structure.”
Coupled effective stress analysis of insertion problems in geotechnics with the Particle Finite Element Method (2018, methodology): “The integration of the elasto-plastic constitute relations is performed with an explicit scheme, which is an extension of Sloan’s scheme at large strains (Sloan et al. 2001).”