Non-parameterized Numerical Analysis Using the Distinct Lattice Spring Model by Implementing the Duncan–Chang Model

Zhao, Gao‐Feng; Wei, Xiaoran; Liu, Feng; Liu, Wei-Bao

doi:10.1007/s00603-020-02047-w

Cited by 17 publications

(6 citation statements)

References 30 publications

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“…In a previous study by Zhao et al., 29 the multibody failure criterion based on the modified Mohr–Coulomb model was implemented into 4D‐LSM to address the low ratio of uniaxial compressive strength (UCS) to uniaxial tensile strength (UTS) encountered in the conventional DEM, which is an important indicator for rock‐like materials. In this criterion, the multibody stress state was determined by the introduction of fiber stress, whose validity was demonstrated by Zhao et al 32 . in the DLSM, and the formula takes the form of:

\begin{equation}\sigma _{ij}^I = \frac{1}{{2{V}^I}}\sum {{f}_i{n}_{ij}{l}_0} \end{equation}

where

\sigma _{ij}^I

and

{V}^I

are the stress tensor and the representative volume of particle I ,

{f}_i

{n}_{ij}

, and l 0 are the total bond force, normal unit vector, and initial spring length among particle I and its neighbor particles, respectively.…”

Section: Methodsmentioning

confidence: 99%

“…In a previous study by Zhao et al, 29 the multibody failure criterion based on the modified Mohr-Coulomb model was implemented into 4D-LSM to address the low ratio of uniaxial compressive strength (UCS) to uniaxial tensile strength (UTS) encountered in the conventional DEM, which is an important indicator for rock-like materials. In this criterion, the multibody stress state was determined by the introduction of fiber stress, whose validity was demonstrated by Zhao et al 32 in the DLSM, and the formula takes the form of:…”

Section: D-lsm With a Multibody Failure Criterionmentioning

confidence: 99%

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Realistic modeling of cemented granular materials with a lattice spring model by developing a digital 3D reconstruction approach

Wei

Deng

Zhao

2022

Num Anal Meth Geomechanics

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Three-dimensional (3D) geometric reconstruction is a fundamental requirement to realistically predict the mechanical behavior of cemented granular materials (CGMs). In this work, a four-phase geometric reconstruction method for CGMs, involving aggregate, cement, in-between interfacial transition zone (ITZ), and void phases, is developed by using digital image processing techniques and an optimization algorithm. The reconstruction method includes four steps. (1) The planar outlines of aggregates are extracted from a two-dimensional (2D) aggregate image (e.g., gravels, pebbles, and crushed stones) based on the image segmentation algorithm. (2) Through spatial geometric transformations on the acquired planar outlines, the 3D aggregates are generated, whose reliability is verified by comparison with those obtained by a 3D scanner. (3) According to the volume ratio of each phase, the initial four-phase model is reconstructed by randomly placing aggregates into the user-defined domain with considering the size distribution of aggregates, followed by the generation of the ITZ represented by their surrounding minimum envelope surface, and the insertion of voids in the rest cement phase. (4) The final realistic CGM is reconstructed by optimizing the spatial distribution of the void and cement phases based on a simulated annealing algorithm. Afterwards, the rationality of the reconstructed CGM is verified by comparing two-point probability functions between the physical model and the reconstructed model. With the aid of a four-dimensional lattice spring model (4D-LSM), the feasibility of the reconstructed CGM to reproduce its mechanical behavior is demonstrated by numerical examples and a comparison with existing experimental or other numerical solutions.

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\begin{equation}\sigma _{ij}^I = \frac{1}{{2{V}^I}}\sum {{f}_i{n}_{ij}{l}_0} \end{equation}

where

\sigma _{ij}^I

and

{V}^I

are the stress tensor and the representative volume of particle I ,

{f}_i

{n}_{ij}

, and l 0 are the total bond force, normal unit vector, and initial spring length among particle I and its neighbor particles, respectively.…”

Section: Methodsmentioning

confidence: 99%

Section: D-lsm With a Multibody Failure Criterionmentioning

confidence: 99%

Realistic modeling of cemented granular materials with a lattice spring model by developing a digital 3D reconstruction approach

Wei

Deng

Zhao

2022

Num Anal Meth Geomechanics

Self Cite

View full text Add to dashboard Cite

show abstract

“…As the negative impact of freeze-thaw cycles intensifies, the cohesion does not continue to increase and reaches a stable state. The Duncan-Chang (DC) model is widely used in theoretical calculations and engineering guidance models (Zhao G. F. et al, 2020), and its formula is:…”

Section: Strength and Parameter Analysis Of Artificially Frozen Silty...mentioning

confidence: 99%

“…The DC model is a nonlinear elastic model (Zhao G. F. et al, 2020). It can be directly obtained from triaxial tests.…”

Section: Introductionmentioning

confidence: 99%

Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis

Teng,

Zhou,

Teng

et al. 2023

Front. Earth Sci.

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Engineering construction in cold regions cannot be separated from permafrost research. This study aimed to determine the mechanical properties and changing laws of artificially frozen clay through triaxial tests. Two models have been established: a physical model based on the tradi-tional phenomenological constitutive theory and a deep learning model based on the data-driven constitutive theory, taking into account the softening phenomenon. The accuracy and applica-bility of the models were verified, followed by a comparative analysis. The results of the analysis are as follows. The Duncan-Chang model can describe the characteristics of the hardening-type deviatoric stress-strain curve, but it cannot describe the characteristics of the softening-type de-viatoric stress-strain curve. The Modified Duncan-Chang (MDC) model fails to accurately de-scribe the characteristics of a smooth deviatoric stress-strain curve. The Strain-Damage Modified Duncan-Chang (SD-MDC) model exhibits a good fit in both the ascending and descending seg-ments of the curve, but it lacks effectiveness in the convergence segment of the S-shaped sof-tening curve. For this reason, this paper has chosen the arctangent function to establish a Strain-Damage Modified arctangent constitutive model (SD-MAM). This model accurately re-flects the stress evolution process of different types of frozen soils. Additionally, the Informer time series prediction algorithm was utilized to develop the Informer permafrost deviatoric stress prediction model which achieved an R2 value above 99%. In comparison to the SD-MAM model, the Informer model demonstrates higher precision, does not rely on assumptions, is cost-effective, and has a wide range of applications. However, it lacks physical meaning, and interpretability, and requires further discussion regarding the reliability of the results. This study offers valuable insights into the development and application of constitutive models for frozen soils.

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“…The Zienkiewicz-Pande (ZP) model was further developed and used to analyze foundation deformations in a real project [24]. The Duncan-Chang (DC) nonlinear elastic model was also incorporated into the DLSM to simulate dam deformations during multiple construction stages, and a non-parametric numerical analysis was proposed to minimize human error [25].…”

mentioning

confidence: 99%

Further development of distinct lattice spring model with Finn model for liquefaction analysis

Li,

Shoaib,

Wei

et al. 2024

IOP Conf. Ser.: Earth Environ. Sci.

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The hazards associated with sand liquefaction induced by dynamic events are significant. The study of the dynamic stability in hydraulic structures presents an interdisciplinary challenge encompassing both geotechnical engineering and engineering seismology. This study was based on an actual hydraulic engineering project. To effectively predict changes in pore pressure caused by earthquakes, we integrated the Finn constitutive equations into a distinct lattice spring model (DLSM). In this study, the code was customized to accommodate multiple materials simultaneously participating in the calculations, thus simplifying the solution to complex engineering problems. Initially, we validated the DLSM’s liquefaction equation by comparing it with the finite difference method. Subsequently, we conducted a comparative analysis of liquefaction in an engineering project of sluice using the enhanced DLSM. Our analysis indicates that untreated sand has a severe risk of trending toward liquefaction, presenting a hazard to hydraulic engineering. The incorporation of a gridded concrete framework significantly mitigated the seismic-induced pore pressure accumulation and irreversible deformations caused by vibrations. A comparative study showed that concrete retaining walls with concrete supports are more effective at reducing liquefaction hazards and minimizing irreversible deformations in engineering structures.

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Non-parameterized Numerical Analysis Using the Distinct Lattice Spring Model by Implementing the Duncan–Chang Model

Cited by 17 publications

References 30 publications

Realistic modeling of cemented granular materials with a lattice spring model by developing a digital 3D reconstruction approach

Realistic modeling of cemented granular materials with a lattice spring model by developing a digital 3D reconstruction approach

Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis

Further development of distinct lattice spring model with Finn model for liquefaction analysis

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