A Simple Bounding Surface Plasticity Model for Overconsolidated Clays: Theory, Validation, and Numerical Implementation

Простая модель пластичности с ограничивающей поверхностью для переуплотнённых глин: теория, валидация и численная реализация
Kehao Chen, Rui Pang, Bin Xu, Yang Zhou, Long Yu
2026-01-27

ABAQUS finite elementHvorslev envelopebounding surface plasticitymodified Cam Clayoverconsolidated clays
ABSTRACT Constitutive models with concise theoretical formulations and readily measurable parameters are vital for practical geotechnical engineering applications. This study presents a novel constitutive model for overconsolidated (OC) clays by integrating bounding surface plasticity theory into the modified Cam Clay (MCC) framework without introducing any additional model parameters. The proposed model enhances the MCC model in both strength and deformation predictions by (i) introducing the overconsolidation parameter into the dilatancy relation, enabling a more accurate representation of the shear dilatancy behavior of OC clays, and (ii) incorporating the Hvorslev envelope into the plastic modulus interpolation function to capture the strain‐softening behavior and peak strength. The model's performance is validated through element‐level simulations of compression and extension tests on clays, encompassing a broad range of overconsolidation ratios (OCRs) and stress paths. Additionally, the model is implemented in the ABAQUS finite element platform using an explicit integration scheme with automatic error control. Its practical applicability is demonstrated through the simulation of a centrifuge plate loading test on an OC clay foundation, with numerical results showing strong agreement with experimental data.
1
A novel overconsolidated-clay constitutive model integrates bounding surface plasticity with modified Cam Clay without adding model parameters.
2
An ABAQUS implementation with explicit integration and automatic error control accurately reproduces centrifuge plate-loading results for an overconsolidated clay foundation.
3
Element-level simulations across broad overconsolidation ratios and stress paths validate the model for compression and extension behavior.
4
Including overconsolidation in the dilatancy relation improves predictions of shear dilatancy in overconsolidated clays.
5
Incorporating the Hvorslev envelope into plastic-modulus interpolation captures strain softening and peak strength more effectively than standard modified Cam Clay.

overconsolidated clays and OC clay foundations subjected to compression, extension, and plate loading

strength, deformation, shear dilatancy, strain softening, and peak-strength behavior of overconsolidated clays across varying OCRs and stress paths

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Publication Date
2026-01-27
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Authors
Kehao Chen
Rui Pang
Bin Xu
Yang Zhou
Long Yu
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