Peridynamic simulation of the mechanical responses and fracturing behaviors of granite subjected to uniaxial compression based on CT heterogeneous data

Feng, Kai; Zhou, Xiaoping

doi:10.1007/s00366-021-01549-7

Cited by 14 publications

(3 citation statements)

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“…which ensures that the global balance of linear momentum is satisfied by Equation (15). The purpose of using the state concept is to permit peridynamic bond forces to be defined with complete precision, once a material model is specified.…”

Section: Peridynamics Backgroundmentioning

confidence: 99%

“…The application of peridynamics to the growth of defects in rocks has been demonstrated by several authors. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] In contrast to these works, the present study does not start with initial defects, but instead uses the peridynamic framework to implement failure between cells of predefined sizes and strengths.…”

Section: Introductionmentioning

confidence: 99%

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Data‐driven nonlocal model for fragmentation in the crushing of solids

Silling

2024

Num Anal Meth Geomechanics

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A technique is proposed for reproducing particle size distributions in three‐dimensional simulations of the crushing and comminution of solid materials. The method is designed to produce realistic distributions over a wide range of loading conditions, especially for small fragments. In contrast to most existing methods, the new model does not explicitly treat the small‐scale process of fracture. Instead, it uses measured fragment distributions from laboratory tests as the basic material property that is incorporated into the algorithm, providing a data‐driven approach. The algorithm is implemented within a nonlocal peridynamic solver, which simulates the underlying continuum mechanics and contact interactions between fragments after they are formed. The technique is illustrated in reproducing fragmentation data from drop weight testing on sandstone samples.

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Section: Peridynamics Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Data‐driven nonlocal model for fragmentation in the crushing of solids

Silling

2024

Num Anal Meth Geomechanics

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“…Yang et al [39,40] investigated thermal-mechanical fracturing behaviors in granite post thermal cycling using a fully coupled OSB PD, examining crack evolution under varied temperatures and fissure angles. Feng et al [41] introduced a BB PD with shear deformation to simulate complex compression/shear failure in heterogeneous rocks under uniaxial compression. Despite notable advancements in coupled thermomechanical modeling, there remains a need for further developments in numerical studies concerning the thermal crack propagation behavior of brittle materials using peridynamics.…”

Section: Introductionmentioning

confidence: 99%

A Coupled Thermomechanical Crack Propagation Behavior of Brittle Materials by Peridynamic Differential Operator

Li,

Gu,

Zhang

2024

CMES

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This study proposes a comprehensive, coupled thermomechanical model that replaces local spatial derivatives in classical differential thermomechanical equations with nonlocal integral forms derived from the peridynamic differential operator (PDDO), eliminating the need for calibration procedures. The model employs a multi-rate explicit time integration scheme to handle varying time scales in multi-physics systems. Through simulations conducted on granite and ceramic materials, this model demonstrates its effectiveness. It successfully simulates thermal damage behavior in granite arising from incompatible mineral expansion and accurately calculates thermal crack propagation in ceramic slabs during quenching. To account for material heterogeneity, the model utilizes the Shuffle algorithm and Weibull distribution, yielding results that align with numerical simulations and experimental observations. This coupled thermomechanical model shows great promise for analyzing intricate thermomechanical phenomena in brittle materials.

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