A Peridynamics-Based Micromechanical Modeling Approach for Random Heterogeneous Structural Materials

Nayak, Sumeru; Rena, Ravinder; Krishnan, N. M. Anoop; Das, Sumanta

doi:10.3390/ma13061298

Cited by 14 publications

(4 citation statements)

References 63 publications

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“…The cubic lattice with length of Dx is used to discrete the simulation domain and horizon size is set to be 3.015 times the length of cubic lattice [50]. The explicit Velocity-Verlet algorithm is utilized to compute the motion of all the PD material points [51]:…”

Section: = + ( )mentioning

confidence: 99%

Peridynamic modeling of damage and non-shock ignition behavior of confined polymer bonded explosives under impact loading

Deng

Zhao²,

Huang³

2023

Phys. Scr.

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A mechanical-thermal-chemical coupled peridynamic (PD) modeling for analyzing the damage and non-shock ignition behavior of polymer bonded explosives (PBXs) subject to impact loading has been presented. The friction and heat conduction and Arrenhenius law are embedded into the PD theory, ensuring that the simulation model is capable of capturing major features of dynamic damage response of PBX. A PD material model considering plasticity and the asymmetric behaviors of PBX under tensile and compressive loadings is proposed in this study. For a ring-shaped PBX 9501 sample confined by the steel structures, the simulation results indicate that the PBX 9501 in the regions towards the impact face and support face suffers from the serious damage. Meanwhile, the corresponding average temperatures in these two regions are also higher than their counterparts in other regions due to the more intense interaction between PBX 9501 and the steel confinement structures. The ignition time decreases with the increasing impact velocity within the range of 40-120 m/s. The internal steel shell response is analyzed according to its velocity history within a representative box. It is found that the deformation process of internal steel shell is closely related to the complicated flow behaviors of PBX 9501.

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Section: = + ( )mentioning

confidence: 99%

Peridynamic modeling of damage and non-shock ignition behavior of confined polymer bonded explosives under impact loading

Deng

Zhao²,

Huang³

2023

Phys. Scr.

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“…where ρ is the fluid density and ρ = 1.0 kg/m 3 . By summing the kinetic energy and potential energy of all particles [43], we can get…”

Section: The Fpd Anomalous Diffusion Modelmentioning

confidence: 99%

“…In recent decades, nonlocal models have attracted increasing attention for dealing with complex physical problems [1][2][3][4]. The applications of nonlocal models have been reported in various research areas, such as groundwater flow in heterogeneous porous media [5], heat conduction in composite materials [6], and the deformations of heterogeneous materials [7].…”

Section: Introductionmentioning

confidence: 99%

A Nonlocal Fractional Peridynamic Diffusion Model

et al. 2021

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This paper proposes a nonlocal fractional peridynamic (FPD) model to characterize the nonlocality of physical processes or systems, based on analysis with the fractional derivative model (FDM) and the peridynamic (PD) model. The main idea is to use the fractional Euler–Lagrange formula to establish a peridynamic anomalous diffusion model, in which the classical exponential kernel function is replaced by using a power-law kernel function. Fractional Taylor series expansion was used to construct a fractional peridynamic differential operator method to complete the above model. To explore the properties of the FPD model, the FDM, the PD model and the FPD model are dissected via numerical analysis on a diffusion process in complex media. The FPD model provides a generalized model connecting a local model and a nonlocal model for physical systems. The fractional peridynamic differential operator (FPDDO) method provides a simple and efficient numerical method for solving fractional derivative equations.

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“…PD has also been employed to study other nonlocal physical processes such as metal machining process [20], diffusion and other transport phenomena [21][22][23]. Peridynamic frameworks have also been proposed for homogenisation of heterogeneous materials [24][25][26][27][28][29][30][31] as well as multiscale [32][33][34][35][36][37][38] and Multiphysics modelling [39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Modelling of viscoelastic materials using non-ordinary state-based peridynamics

Galadima

Oterkus

Öterkuş

et al. 2023

Engineering with Computers

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This paper proposes a framework for implementing viscoelastic constitutive model from the classical continuum mechanics (CCM) theory within non-ordinary state-based peridynamics (NOSBPD). The motivation stems from the inadequacy of CCM to model very complex material behaviours such as initiation and propagation of cracks and nonlocal behaviour due to size effects. The proposed formulation leverages on the constitutive correspondence between NOSBPD and CCM to incorporate a CCM viscoelastic constitutive model based on hereditary integral into NOSBPD. The combination of hereditary constitutive model and NOSBPD effectively makes this formulation a nonlocal time–space viscoelastic framework where temporal nonlocality is incorporated by a hereditary viscoelastic model which stipulates that the behaviour of a material at any point in time depends on both the present action and the complete history of previous actions on the material, and spatial nonlocality on the other hand is incorporated via the nonlocal mechanism provided by the NOSBPD. For model validation, three benchmark problems were solved using the proposed framework. Results obtained were compared to results from analytical solution and solutions from referenced literature. In addition, parametric study was conducted to determine the influence of nonlocality on numerical prediction. Conclusions drawn from the validation studies presented are that the proposed framework is able to predict viscoelastic responses that agree well with local macro models as well as nonlocal micromodels/nanomodels as reported in the literature.

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A Peridynamics-Based Micromechanical Modeling Approach for Random Heterogeneous Structural Materials

Cited by 14 publications

References 63 publications

Peridynamic modeling of damage and non-shock ignition behavior of confined polymer bonded explosives under impact loading

Peridynamic modeling of damage and non-shock ignition behavior of confined polymer bonded explosives under impact loading

A Nonlocal Fractional Peridynamic Diffusion Model

Modelling of viscoelastic materials using non-ordinary state-based peridynamics

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