Generalized plastic ordinary state-based peridynamic model with shear deformation of geomaterials

Zhou, Xiaoping; Zhang, Ting

doi:10.1007/s11440-022-01626-1

Cited by 17 publications

(5 citation statements)

References 38 publications

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“…Traditionally, undrained analyses have been performed numerically with the finite element method (FEM) 1,2 but for problems involving larger deformations and necessitating modeling post-failure behavior, the accuracy of the solution decreases due to mesh distortion and associated issues. Various different continuum particle-based or meshfree methods have been proposed in recent decades as alternatives to FEM, most notably the material point method (MPM), [3][4][5] peridynamics, [6][7][8] particle FEM (PFEM), [9][10][11] element free Galerkin method (EFG), [12][13][14] reproducing kernel particle method (RKPM), [15][16][17] and smoothed particle hydrodynamics (SPH). [18][19][20] As one of the best established of these methods, developed first by the work of Lucy 21 and Gingold and Monaghan, 22 SPH is one of the few truly meshfree methods, in that it requires no background mesh or knowledge of connectivity between the material points.…”

Section: Introductionmentioning

confidence: 99%

“…on both CPU and GPU architectures. A three-dimensional benchmark case of a drained triaxial test with 1.5 million particles has been simulated using an increasing number of AMD EPYC 7543 Milan CPU cores(2,4,8,16,32,64, and 128), each featuring 4 GB of RAM. Results are shown in Figure 8 in terms of wall clock time, which corresponds to the time required by the CPU cores pore pressure, p w : Pore-water pressure (𝑝 𝑤 ) histories for the three undrained simulations TU-M (𝑝 ′ 0 = −30 and (𝑝 𝑐 ) 0 = −200 kPa), TU-L (𝑝 ′ 0 = −150 and (𝑝 𝑐 ) 0 = −200 kPa), and TU-N (𝑝 ′ 0 = −200 and (𝑝 𝑐 ) 0 = −200 kPa), compared to theoretical solutions.…”

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confidence: 99%

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An SPH framework for drained and undrained loading over large deformations

del Castillo,

Fávero Neto,

Geng

et al. 2024

Num Anal Meth Geomechanics

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We propose a new approach for performing drained and undrained loading of elastoplastic geomaterials over large deformations using smoothed particle hydrodynamics (SPH), a meshfree continuum particle method, combined with the modified Cam Clay (MCC) model of critical state soil mechanics. The numerical approach draws upon a novel one‐particle two‐phase penalty‐method based formulation for handling undrained loading in saturated soils, which allows tracking of the buildup of pore‐water pressures under combined shearing and compression. Large‐scale parallelized simulations are employed to accommodate a significant number of degrees of freedom in a three‐dimensional setting. After verification and benchmark testing, the SPH based formulation is used to analyze the propagation of reverse faults through fluid‐saturated clay deposits and the rupture of strike‐slip faults across earthen embankments. The computational methodology tests the robustness of the meshfree approach in situations where the soil tends to dilate on the ‘dry’ side of the critical state line and to compact on the ‘wet’ side, but cannot, because of the incompressibility constraint imposed by undrained loading. Our results extend the current understanding of fault rupture modeling and further demonstrate the potential of our framework together with the SPH method for large deformation analyses of complex problems in geotechnics.

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Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

An SPH framework for drained and undrained loading over large deformations

del Castillo,

Fávero Neto,

Geng

et al. 2024

Num Anal Meth Geomechanics

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“…However, the evolutionary distribution characteristics of stress and deformation fields within flawed rocks are not obtained by experimental means, which leads to the fact that the fracture failure mechanism of flawed rocks cannot be revealed during the deformation failure process. Fortunately, some scholars [19][20][21][22][23][24] adopted the numerical methods to not only predict the fracture paths of flawed rocks but also to obtain the distribution characteristics of stress and deformation fields within flawed rocks, which can provide a new approach to reveal the fracture failure mechanism of flawed rocks.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on cracking behavior and fracture failure mechanism of flawed rock materials under uniaxial compression

Niu

Wang

et al. 2023

Fatigue Fract Eng Mat Struct

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The numerical approach is a vital means for evaluating the stability of flawed rocks. In this paper, the extended non‐ordinary state‐based peridynamics (NOSB‐PD) theory is employed to simulate the fracture process of rocks containing two pre‐existing flaws. Two stress criteria, including the maximum tensile stress criterion and the Mohr–Coulomb criterion, are implemented into the NOSB‐PD numerical method to respectively judge the tensile and shear failure of rock materials. The effects of inclination angles and ligament angles on the crack initiation and coalescence modes for flawed rocks are investigated based on the numerical results. The numerical results are in good agreement with the previous experimental results. The fracture mechanism of flawed rocks is revealed based on the evolutionary distribution characteristics of the maximum principal stress field and shear stress field obtained by the extended NOSB‐PD theory.

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“…On the foundation of the SB–PD model, a number of studies have been conducted on elastic materials. Due to these studies, the problems of deformation, damage, and fracture of elastoplastic materials have been partially solved 18–20 . However, the governing equations of SB–PD model are complex and its computational stability is difficult to guarantee due to strong numerical oscillations 21,22 .…”

Section: Introductionmentioning

confidence: 99%

“…Due to these studies, the problems of deformation, damage, and fracture of elastoplastic materials have been partially solved. [18][19][20] However, the governing equations of SB-PD model are complex and its computational stability is difficult to guarantee due to strong numerical oscillations. 21,22 In a BB-PD model, the bond force is only related to the relative displacement between the two material particles connected by the bond.…”

Section: Introductionmentioning

confidence: 99%

An incremental bond‐based peridynamic method for elastoplastic problems

Guan

Yan

et al. 2023

Numerical Meth Engineering

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The fracture problem of elastoplastic materials is an insistent challenge. It is difficult to implement the fracture simulations of elastoplastic materials in peridynamics (PD), especially in the bond‐based peridynamic (BB–PD) framework. The core issue is how to introduce non‐linear constitutive relationships into BB–PD model. To address this issue, an incremental form of BB–PD model was originally proposed. In the proposed model, a rapid strain identification technique was established. Based on this technique, the constitutive relationship is related to the deformation and the incremental bond force equation is formulated in a unified form. In addition, a fracture criterion controlled by energy was derived to implement plastic fracture simulations. Several numerical examples, including five elastoplastic deformation analyses and three quasi‐static and dynamic fractures, were implemented to verify the feasibility and efficiency of the proposed model. The results show that the proposed model can accurately analyze the deformation of elastoplastic problems, especially plastic deformation. The numerical examples also demonstrate the fracture prediction capability of the proposed model.

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Generalized plastic ordinary state-based peridynamic model with shear deformation of geomaterials

Cited by 17 publications

References 38 publications

An SPH framework for drained and undrained loading over large deformations

An SPH framework for drained and undrained loading over large deformations

Numerical study on cracking behavior and fracture failure mechanism of flawed rock materials under uniaxial compression

An incremental bond‐based peridynamic method for elastoplastic problems

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