Thermomechanical peridynamic analysis with irregular non-uniform domain discretization

Hu, Yile; Chen, Hailong; Spencer, Benjamin W.; Madenci, Erdogan

doi:10.1016/j.engfracmech.2018.02.006

Cited by 94 publications

(28 citation statements)

References 29 publications

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“…As have been shown in Ref. [11], the peridynamic constants shown in Eqs. and for irregular non-uniform spatial discretization reduce to Eqs.…”

Section:  supporting

confidence: 71%

“…The remainder of this paper is organized as follows: Section 2 briefly reviews peridynamic models that will be used in this study. These models include bond-based models using conventional constant parameters [9], [10] and variable parameters [8], ordinary state-based models using conventional constant parameters [2] and variable parameters [11], conventional correspondence model stabilized with spring-like force [12], and self-stabilized bond-associated correspondence model [13]. Section 3 presents the prediction and comparison among these models using three different types of problems.…”

Section: Introductionmentioning

confidence: 99%

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A comparison study on peridynamic models using irregular non-uniform spatial discretization

Chen

2019

Computer Methods in Applied Mechanics and Engineering

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The applicability of peridynamic models to problems with irregularly non-uniformly discretized solution domain is critical. In this study, a systematic comparison study on results predicted using eight different peridynamic models, including bond-based, ordinary state-based and nonordinary state-based mechanics and heat conduction models, for three different types of mechanical problems, including thermal, mechanics and coupled thermo-mechanics, with irregular non-uniform spatial discretization are performed. It's found that for the case of irregular but semi-uniform spatial discretization, all these models yield good predictions compared to analytical local solutions. For the case of irregular and non-uniform spatial discretization, models formulated specifically for this configuration give much better results than the conventional formulations which don't consider the neighborhood difference among material points in the spatial discretization. For either cases of spatial discretization, the bond-associated correspondence material model predicts the most accurate results.

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“…As have been shown in Ref. [11], the peridynamic constants shown in Eqs. and for irregular non-uniform spatial discretization reduce to Eqs.…”

Section:  supporting

confidence: 71%

Section: Introductionmentioning

confidence: 99%

A comparison study on peridynamic models using irregular non-uniform spatial discretization

Chen

2019

Computer Methods in Applied Mechanics and Engineering

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“…This has been implemented in the MOOSE peridynamics module and has been applied to fuel fracture. 77 In addition to the development of these new fracture techniques, the ability of the existing smeared cracking technique to model the formation of individual cracks has recently been enhanced through the use of a volumeweighted fracture strength randomization technique that enables it to better capture fracture localization.…”

Section: Iiic Fracture Modelingmentioning

confidence: 99%

BISON: A Flexible Code for Advanced Simulation of the Performance of Multiple Nuclear Fuel Forms

et al. 2021

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BISON is a nuclear fuel performance application built using the Multiphysics Object-Oriented Simulation Environment (MOOSE) finite element library. One of its major goals is to have a great amount of flexibility in how it is used, including in the types of fuel it can analyze, the geometry of the fuel being modeled, the modeling approach employed, and the dimensionality and size of the models. Fuel forms that can be modeled include standard light water reactor fuel, emerging light water reactor fuels, tri-structural isotropic fuel particles, and metallic fuels. BISON is a platform for research in nuclear fuel performance modeling while simultaneously serving as a tool for the analysis of nuclear fuel designs. Recent research in BISON includes techniques such as the extended finite element method for fuel cracking, exploration of high-burnup light water reactor fuel behavior, swelling behavior of metallic fuels, and central void formation in mixed-oxide fuel. BISON includes integrated documentation for each of its capabilities, follows rigorous software quality assurance procedures, and has a growing set of rigorous verification and validation tests.

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“…where Dt is the time step size. The implicit solver can be developed (Hu et al, 2018) when analyzing the steady-state heat conduction problems.…”

Section: Numerical Implementation 41 Spatial and Temporal Integrationmentioning

confidence: 99%

Refined bond-based peridynamics for thermal diffusion

Zhang

Madenci

2019

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Purpose This paper aims to review the existing bond-based peridynamic (PD) and state-based PD heat conduction models, and further propose a refined bond-based PD thermal conduction model by using the PD differential operator. Design/methodology/approach The general refined bond-based PD is established by replacing the local spatial derivatives in the classical heat conduction equations with their corresponding nonlocal integral forms obtained by the PD differential operator. This modeling approach is representative of the state-based PD models, whereas the resulting governing equations appear as the bond-based PD models. Findings The refined model can be reduced to the existing bond-based PD heat conduction models by specifying particular influence functions. Also, the refined model does not require any calibration procedure unlike the bond-based PD. A systematic explicit dynamic solver is introduced to validate 1 D, 2 D and 3 D heat conduction in domains with and without a crack subjected to a combination of Dirichlet, Neumann and convection boundary conditions. All of the PD predictions are in excellent agreement with the classical solutions and demonstrate the nonlocal feature and advantage of PD in dealing with heat conduction in discontinuous domains. Originality/value The existing PD heat conduction models are reviewed. A refined bond-based PD thermal conduction model by using PD differential operator is proposed and 3 D thermal conduction in intact or cracked structures is simulated.

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Thermomechanical peridynamic analysis with irregular non-uniform domain discretization

Cited by 94 publications

References 29 publications

A comparison study on peridynamic models using irregular non-uniform spatial discretization

A comparison study on peridynamic models using irregular non-uniform spatial discretization

BISON: A Flexible Code for Advanced Simulation of the Performance of Multiple Nuclear Fuel Forms

Refined bond-based peridynamics for thermal diffusion

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