A modified peridynamic method to model the fracture behaviour of nanocomposites

Ma, Dayou; Verleysen, Patricia; Chandran, Sarath; Giglio, Marco; Manes, Andrea

doi:10.1016/j.engfracmech.2021.107614

Cited by 11 publications

(3 citation statements)

References 37 publications

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“…Here B I represents the total number of bonds connected to a site I. Compared with the original equation (25), equation (26) has additional cross terms between the first and second neighbor sites. With this modified many-body term, our LPM models implemented within LAMMPS can reproduce the desired moduli and Poisson's ratios of 2D square lattices with the second nearest neighbor sites connected.…”

Section: The Elastic Properties Of 2d Structuresmentioning

confidence: 99%

“…Due to its advantages when analyzing discontinuity-related issues, discrete particle-based methods have been utilized to analyze bone fracture [15,16], diffusion in concrete [17,18], concrete failure [19][20][21], dynamic buckling of rods [22], fracture of fiber-reinforced laminated composites [23,24] and nanocomposites [25]. Nonetheless, continuous models, such as finite element analysis (FEM), are the most common framework employed to study the critical zones in structures vulnerable to cracks.…”

Section: Introductionmentioning

confidence: 99%

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Implementing a non-local lattice particle method in the open-source large-scale atomic/molecular massively parallel simulator

Sun¹,

Ferasat²,

Nowak³

et al. 2022

Modelling Simul. Mater. Sci. Eng.

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Using conventional continuum-based simulation frameworks to model crack initiation and extension can be computationally challenging. As an alternative to continuum-based approaches, particle-based simulation methods are well-suited to handle the discontinuities present during fracture propagation. A well-known particle-based method is the lattice particle method (LPM), which discretizes the system into a set of interconnected particles ollowing a periodic arrangement. Discontinuities can be handled simply by removing bonds between particles. For this reason, LPM-based simulations have been employed to simulate fracture propagation in heterogeneous media, notably in civil engineering and biomaterials applications. However, a practical limitation of this method is the absence of implementation within a commonly-used software platform. This work describes such an implementation of a non-local LPM within the Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS). Specifically, we implemented a new LAMMPS bond style with a many-body term to tune Poisson’s ratios. In order to validate the nonlocal formalism and our implementation of this method within LAMMPS, simulated elastic properties are compared to analytical solutions reported in the literature. Good agreement between simulated and analytical values is found for systems with positive Poisson’s ratios. The computational and parallel efficiency of the LPM-LAMMPS implementation is also benchmarked. Finally, we compare the elastic response of a 3D porous structure and an aircraft wing as calculated using the LPM and finite-element analysis.

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Section: The Elastic Properties Of 2d Structuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Implementing a non-local lattice particle method in the open-source large-scale atomic/molecular massively parallel simulator

Sun¹,

Ferasat²,

Nowak³

et al. 2022

Modelling Simul. Mater. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…Therefore, the PD overcomes the shortcomings of crack tip singularity, the need for external fracture criteria, the inability to simulate crack initiation and strong grid dependence. Hence, it is widely used to simulate the discontinuous deformation of various materials such as concrete [37][38][39], glass [40,41], membrane and fibre [42] and other composites [43][44][45].…”

mentioning

confidence: 99%

Improved peridynamic model and its application to crack propagation in rocks

Zhou

Zhu

et al. 2022

R. Soc. open sci.

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The conventional bond-based peridynamics (BB-PD) model is suitable for simulating the failure mode of homogeneous elastic-brittle materials. However, the strain hardening and subsequent strain softening characteristics of rocks under loading cannot be reflected. In addition, the fracture mechanisms of rock materials under tension and compression are completely different. To solve these problems, this paper proposes an improved BB-PD model using different fracture criteria in the tensile and compression stages of the bond based on previous improved models, and a critical failure condition obeying the Weibull distribution is introduced to reflect the heterogeneity of the rock. The crack propagation processes of an intact rock specimen, rock specimen with a single pre-existing flaw and rock specimens with two and three pre-existing flaws under compressive loading are simulated using the model, and its feasibility is verified by comparing with the results of previous laboratory tests. Next, the effects of the inclination angle and length on the wing crack propagation length are studied. Finally, the changes in the crack aggregation modes under different rock bridge inclination angles are simulated. Eight types of crack aggregation modes are found, and the conditions under which they may occur are analysed. The improved model proposed can effectively simulate the crack propagation and coalescing processes and has a wide application prospect for rock fracture simulations.

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Failure of short carbon-fiber-reinforced PEEK composites under high strain rate biaxial loading

Kang

Liang

et al. 2022

Composites Part B: Engineering

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A modified peridynamic method to model the fracture behaviour of nanocomposites

Cited by 11 publications

References 37 publications

Implementing a non-local lattice particle method in the open-source large-scale atomic/molecular massively parallel simulator

Implementing a non-local lattice particle method in the open-source large-scale atomic/molecular massively parallel simulator

Improved peridynamic model and its application to crack propagation in rocks

Failure of short carbon-fiber-reinforced PEEK composites under high strain rate biaxial loading

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