Studies of dynamic fracture in functionally graded materials using peridynamic modeling with composite weighted bond

Cheng, Zhan; Sui, Zhi Bo; Yin, Hang; Yuan, Congcong; Chu, Liu

doi:10.1016/j.tafmec.2019.102242

Cited by 24 publications

(5 citation statements)

References 45 publications

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“…Therefore, due to the fact that the contribution of particles i and j is different, it is necessary to consider the influence of their different material properties on the bond connecting them. To do so, a weighting approach proposed in [Cheng et al(2019)Cheng, Sui, Yin, Yuan, and Chu] for functionally graded materials is utilized in this study. Young's modulus of the two material points can be defined proportional to the effect of the bond as:…”

Section: Modification Of Pd Bond Constant For the Application Of Mult...mentioning

confidence: 99%

Multi-material topology optimization of structures with discontinuities using Peridynamics

Habibian

Sohouli

Kefal

et al. 2021

Composite Structures

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Section: Modification Of Pd Bond Constant For the Application Of Mult...mentioning

confidence: 99%

Multi-material topology optimization of structures with discontinuities using Peridynamics

Habibian

Sohouli

Kefal

et al. 2021

Composite Structures

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“…Numerous studies, e.g. [68][69][70][71][72], have shown the applicability of PD theory on crack initiation and propagation in dynamic loading and thermo-mechanics problems. Both Ghajari et al [73] and Ozdemir et al [74] applied PD theory to analyse functionally graded materials.…”

Section: Introductionmentioning

confidence: 99%

Peridynamic simulation of dynamic fracture in functionally graded materials subjected to impact load

Candaş

Öterkuş

İmrak

2021

Engineering with Computers

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Dynamic crack propagation assessment in functionally graded materials (FGMs) with micro-cracks is accomplished using bond-based Peridynamics (PD). The dynamic fracture behaviour of various FGMs' material models is studied in Kalthoff-Winkler experiment. Dynamic crack growth predictions and associated material damage of the specimen under dynamic loading conditions are considered. The effect of micro-cracks near macro-crack tips on the toughening mechanism is evaluated in terms of crack propagation velocities. Stochastically pre-located micro-cracks are modelled to obtain the toughening effect in the material. Additionally, the velocities and time required for fracture are compared in different FGM cases. It is frankly found that if a crack propagates in the harder region of the specimen, velocities decrease and toughness increase in contrast to the softer region. Furthermore, micro-cracks around a macro-crack decelerate the crack propagation and enhance toughening mechanism in FGM body depending on gradation of material properties.

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“…Silling et al [14] then proposed state-based PD formulation, which eliminates the restrictions on the material properties and allows the compressibility. Thanks to the advantage of PD for the modelling of discontinuities, one can find several research works dealing with fracture of the homogeneous materials [15][16][17][18][19][20][21][22] and FGMs [23][24][25][26]. Ha and Bobaru [15,16] examined dynamic fracture of brittle materials employing the bond-based PD and the crack branching was also addressed in those works.…”

Section: Introductionmentioning

confidence: 99%

“…Then, Cheng and co-workers extended their work for the definition of bond properties in FGMs and composite weighted bond concept was proposed in Refs. [25,26]. Liao et al [27] modified the traditional state-based PD formulation for heat conduction in FGMs with cracks.…”

Section: Introductionmentioning

confidence: 99%

“…Even though the PD works are relatively common for laminated composites, e.g., see Refs. [30][31][32][33], the available literature for the FGMs is quite rare and these works are mainly carried out by using bond-based PD theory [23][24][25][26]. However, in the present work, two dimensional (2D) OSB-PD formulation [34] is employed for the accurate simulation of elastic wave propagation and crack propagation in FGMs.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic fracture analysis of functionally graded materials using ordinary state-based peridynamics

Özdemir

Kefal

Imachi

et al. 2020

Composite Structures

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Functionally graded materials are regarded as a special kind of composites capable of eliminating material interfaces and the delamination problems. Stress discontinuity can be avoided owing to smooth composition of the functionally graded ingredients. In this study, a recently emerged effective nonlocal continuum theory for solving fracture problems in solids and structures, peridynamics, is employed to simulate dynamic wave propagation as well as crack propagation in functionally graded materials. Specifically, the ordinary state-based formulation is adopted. The ordinary state-based formulation is slightly modified for the modelling of functionally graded materials. The averaging technique is employed to determine peridynamic parameters associated with the material properties. Firstly, a benchmark problem is considered to validate the present implementation of ordinary state-based peridynamics for brittle fracture of homogeneous materials. Then, the wave propagation in the functionally graded materials under impact loading is simulated. Finally, dynamic crack propagation in the functionally graded materials is studied. The evaluated crack paths and the displacement waves are compared with reference works including numerical and experimental results. Good agree-

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Studies of dynamic fracture in functionally graded materials using peridynamic modeling with composite weighted bond

Cited by 24 publications

References 45 publications

Multi-material topology optimization of structures with discontinuities using Peridynamics

Multi-material topology optimization of structures with discontinuities using Peridynamics

Peridynamic simulation of dynamic fracture in functionally graded materials subjected to impact load

Dynamic fracture analysis of functionally graded materials using ordinary state-based peridynamics

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