Simulation of thermal shock cracking in ceramics using bond-based peridynamics and FEM

Giannakeas, Ilias N.; Papathanasiou, Theodosios K.; Bahai, H.

doi:10.1016/j.jeurceramsoc.2017.12.039

Cited by 38 publications

(11 citation statements)

References 49 publications

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“…As such, it is suitable for applications where discontinuous displacement fields appear (eg, fracture). In the literature, the PD theory has been used to simulate a wide variety of problems . However, its implementation leads to higher computational requirements compared to FE.…”

Section: Definitionsmentioning

confidence: 99%

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Wave reflection and cut‐off frequencies in coupled FE‐peridynamic grids

Giannakeas

Papathanasiou

Bahai

2019

Numerical Meth Engineering

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Summary Reflections are typically observed when pulses propagate across interfaces. Accordingly, spurious reflections might occur at the interfaces between different models used to simulate the same medium. Examples of such coupled models include classical continuum descriptions with molecular dynamics or peridynamic (PD) grids. In this work, three different coupling approaches are implemented to couple bond‐based PDs with finite element (FE) solvers for solid mechanics. It is observed that incorporation of an overlapping zone, over which the coupling between FE and PD occurs, can lead to minimization of the reflected energy compared to a standard force coupling at the FE domain/PD grid interface. However, coupling with other existing methodologies, like the addition of ghost particles, achieves comparable accuracy at lower computational cost. Furthermore, the prudent selection of the discretization parameters is of pivotal importance as they control the high frequency cut‐off limit. Mismatch between the cut‐off frequencies of the different descriptions can lead to unrealistic results.

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Section: Definitionsmentioning

confidence: 99%

“…In the literature, the PD theory has been used to simulate a wide variety of problems. [30][31][32][33] However, its implementation leads to higher computational requirements compared to FE.…”

Section: Model 2 -Bond-based Peridynamicsmentioning

confidence: 99%

Wave reflection and cut‐off frequencies in coupled FE‐peridynamic grids

Giannakeas

Papathanasiou

Bahai

2019

Numerical Meth Engineering

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“…The performance of the tracking methodology is evaluated by taking an example from an earlier investigation made by the authors. In [25], the thermal cracking of alumina specimens under cold shock was studied. This example is borrowed as multiple cracks nucleate at the boundary of the domain and propagate towards its interior.…”

Section: Crack Tracking Algorithmmentioning

confidence: 99%

“…Remeshing of FE can be avoided, however; by initially discretizing with FEs the Fig. 4 Application of the tracking algorithm on the damage evolution of an alumina specimen under cold shock [25] whole problem domain . Then, the PD patch is overlaid on the FE mesh and 1 is defined along element edges.…”

Section: Expansion Stepmentioning

confidence: 99%

Coupling XFEM and Peridynamics for brittle fracture simulation: part II—adaptive relocation strategy

et al. 2020

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An adaptive relocation strategy for a coupled XFEM-Peridynamic (PD) model is introduced. The motivation is to enhance the efficiency of the coupled model and demonstrate its applicability to complex brittle fracture problems. The XFEM and PD approximation domains can be redefined during the simulation, to ensure that the computationally expensive PD model is applied only where needed. To this end a two-step expansion/contraction process, allowing the PD patch to adaptively change its shape, size and location, following the propagation of the crack, is employed. No a priori knowledge of the crack path or re-meshing is required, and the methodology can automatically switch between PD and XFEM. Three 2D fracture examples are presented to highlight the performance of the methodology and the ability to follow multiple crack tips. Results indicate significant computational savings. Furthermore, the characteristic length scale of PD theory bestows a nonlocal and multiscale component to the methodology.

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“…Wang and Zhou [34] introduced the shear failure into OSB-PD and calculated the thermal cracking in rocks. Giannakeas et al [35] combined the BB-PD and FEM to calculate thermal cracking in ceramics and studied the effects of hot and cold shock in brittle solids. However, numerical studies on thermal crack propagation behavior of FGMs using the peridynamic model have not been published.…”

Section: Introductionmentioning

confidence: 99%

Study on Thermally Induced Crack Propagation Behavior of Functionally Graded Materials Using a Modified Peridynamic Model

Wang

Guo

et al. 2020

Advances in Materials Science and Engineering

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Peridynamic (PD) theory is used to study the thermally induced cracking behavior of functionally graded materials (FGMs). A modified thermomechanical peridynamic model is developed. The thermal crack propagation of a ceramic slab in quenching is calculated to validate the modified PD model. The results predicted by the modified PD model agree with previously published numerical and experimental ones. Compared with the original PD model, the calculation accuracy of the modified PD model for thermal cracking is improved. The thermal cracking in FGMs is also simulated. The effects of material shape, initial temperature, and ceramic fracture toughness on thermal crack propagation behaviors are studied. It can be found that the thermal cracks in FGMs are still in periodical and hierarchical forms. The metal materials in FGMs can prevent crack initiation and arrest the long cracks. The crack number tends to be increased with the increasing initial temperature, while the strengthened ceramic fracture toughness can decrease it.

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Simulation of thermal shock cracking in ceramics using bond-based peridynamics and FEM

Cited by 38 publications

References 49 publications

Wave reflection and cut‐off frequencies in coupled FE‐peridynamic grids

Wave reflection and cut‐off frequencies in coupled FE‐peridynamic grids

Coupling XFEM and Peridynamics for brittle fracture simulation: part II—adaptive relocation strategy

Study on Thermally Induced Crack Propagation Behavior of Functionally Graded Materials Using a Modified Peridynamic Model

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