Modified unified critical state model for soils considering over-consolidation and cyclic loading behaviours

The constitutive equations for the irreversible mechanical phenomena, e.g. the plastic deformation and the sliding between solids with the friction have been studied over the several centuries. Especially, they have been studied for the description of the cyclic loading behaviors in the last half century in order to respond to the high developments of the mechanical, the civil and the structural industries. Then, various constitutive models for these phenomena during the cyclic loading have been proposed hitherto. In this article, the mechanical features and the advantages/disadvantages of the constitutive models which are adopted widely for mechanical design and installed into a lot of commercial software will be clarified by the critical review for the further developments of the research on the plastic deformation/sliding phenomena and the engineering design of solids and structures, since plural different models are not necessary to these ends for the analyses of identical deformation/sliding behaviors. Eventually, it will be described that the irrational formulations involved in the past formulations can be solved out thoroughly by the recent formulations of the subloading-overstress model and subloading-overstress friction model for the monotonic and cyclic loadings under the general rate of deformation/sliding from the quasi-static to the impact loadings in unified equations, disusing the rate-independent plastic/sliding constitutive models.

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Complete and Semi-Complete Explicit Algorithms of a Unified Critical State Model for Over-Consolidated Soils

Wang

Cui

Yuan

2024

Int J Mult Comp Eng

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This paper presents a comparison of the performance of explicit algorithm and semi-complete explicit algorithm in the numerical implementations of an unconventional plastic model for soils. The new model, named CASM-S, is developed by incorporating the sub-loading surface theory into the standard unified clay and sand model (i.e., CASM), to enhance the prediction ability for the mechanical behavior of over-consolidated soils. The complete explicit algorithm of CASM-S is based on the sub-stepping method with the technique of automatic error control (SUBM), while the semi-complete explicit algorithm adopts the cutting-plane integration procedure (CPM). The complete implementation process of this model is performed, and the stability, accuracy, and efficiency of these two algorithms are compared through a series of numerical simulations, such as fluid-structure coupling problem, over-consolidation problem, and square-footing problem. These simulations demonstrate that CASM-S implemented by both the SUBM and CPM can obtain a reliable solution under appropriate size of increments. For the sub-loading surface model with highly nonlinear characteristics used in this paper, the CPM has faster local convergence rate, but the SUBM shows a higher efficiency and accuracy at global level.

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Modified unified critical state model for soils considering over-consolidation and cyclic loading behaviours

Cited by 3 publications

References 63 publications

A Modified Critical State Model and Its Application in Haikou Red Clay

A Modified Critical State Model and Its Application in Haikou Red Clay

Comprehensive Review of Subloading Surface Model: Governing Law of Irreversible Mechanical Phenomena of Solids

Complete and Semi-Complete Explicit Algorithms of a Unified Critical State Model for Over-Consolidated Soils

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