Finite element formulation and algorithms for unsaturated soils. Part I: Theory
By D. Sheng, Scott W. Sloan, A. Gens, David W. Smith. 2003
214 citations recorded by the source corpus.
This paper presents a complete finite‐element treatment for unsaturated soil problems. A new formulation of general constitutive equations for unsaturated soils is first presented. In the incremental stress–strain equations, the suction or the pore water pressure is treated as a strain variable instead of a stress variable. The global governing equations are derived in terms of displacement and pore water pressure. The discretized governing equations are then solved using an adaptive time‐stepping scheme which automatically adjusts the time‐step size so that the integration error in the displacements and pore pressures lies close to a specified tolerance. The non‐linearity caused by suction‐dependent plastic yielding, suction‐dependent degree of saturation, and saturation‐dependent permeability is treated in a similar way to the elastoplasticity. An explicit stress integration scheme is used to solve the constitutive stress–strain equations at the Gauss point level. The elastoplastic stiffness matrix in the Euler solution is evaluated using the suction as well as the stresses and hardening parameters at the start of the subincrement, while the elastoplastic matrix in the modified Euler solution is evaluated using the suction at the end of the subincrement. In addition, when applying subincrementation, the same rate is applied to all strain components including the suction. Copyright © 2003 John Wiley & Sons, Ltd.
Subfields: Civil and Structural Engineering
View Paper: https://www.semanticscholar.org/paper/c17b227e24253a8505ab10894d6ff81f97561aad
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In Civil and Structural Engineering
Citations in the corpus
- A chemo-thermo-mechanically coupled numerical simulation of the subsurface ground deformations due to methane hydrate dissociation (2007, background): “, [27], since geomaterials usually exist in an unsaturated state near the surface of the ground.”
- Shear Strength Criteria for Unsaturated Soils (2011, methodology): “It is also used in constitutive models for unsaturated soils, e.g., that by Sheng et al. (2003), with v ¼ Srð Þj and j = 1 or 0.5.”
- Finite element formulation and algorithms for unsaturated soils. Part II: Verification and application (2003, background): “In Part I [ 8 ], a finite-element formulation for geotechnical problems involving saturated and unsaturated soils is presented.”
- An unsaturated soil model with minimal number of parameters based on bounding surface plasticity (2009, background): “This last aspect is also considered by Sheng et al. [12].”