An improved ordinary-state based peridynamic formulation for modeling FGMs with sharp interface transitions

Rahimi, Mohammad Naqib; Kefal, Adnan; Yıldız, Mehmet

doi:10.1016/j.ijmecsci.2021.106322

Cited by 17 publications

(7 citation statements)

References 44 publications

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“…Considerable attention has been paid to comprehending the impact of imperfections generated by cut-out holes, cracks, damage, and delamination on the mechanical behaviors of various types of materials such as metal, composites, and functionally graded materials (FGMs) [38][39][40][41][42]. From those studies, it has been deduced that the numerical modeling of the formations of geometric imperfections in composites and FGMs is a harder task than the metallic materials due to their non-symmetrical property variations [39,41] and this research topic still attracts great attention.…”

Section: A R T I C L E I N F O Abstractmentioning

confidence: 99%

Parametric study on the assessment of the local buckling behavior of perforated square hollow sections with non-uniform wall thickness under axial compression

Dundar,

Nuraliyev

2024

JIENS

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The aim of this rigorous parametric study is to explore the influence of perforations on the local buckling behavior of square hollow sections (SHSs) possessing non-uniform wall thickness. A finite element procedure followed in the current study has been first validated against existing test results documented for the local buckling behavior of the perforated SHS with uniform web and flange segment thickness under axial compression. The linear elastic eigenvalue buckling and elastoplastic buckling analyses have been implemented using the Abaqus engineering finite element code. The verification of the numerical procedure has been achieved by favorably comparing the finite element results with the existing test results in terms of the first local buckling mode shape and load-end shortening curves of the perforated SHS with uniform wall thickness. . The verified numerical procedure has been applied to the problem of finding the perforation effect on the local buckling response of the SHS with non-uniform thickness. Finite element analyses have been performed for four various web width-to-perforation diameter ratios ranging from 0.3 to 0.9. Finite element analysis results have revealed that the presence of perforations does not influence the local buckling mode shape of the SHS but considerably affects the critical local buckling loads. The results have put forth that increasing perforation diameter leads to a more pronounced and drastic decrease in the critical local buckling load. The outcomes of the study have also shown that the critical post-buckling load of the SHS with non-uniform wall thickness is less susceptible to perforations compared to the SHS with uniform wall thickness. The results obtained in the context of this parametric study have been made available to practical engineering for use in actual design of the perforated SHSs.

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Section: A R T I C L E I N F O Abstractmentioning

confidence: 99%

Parametric study on the assessment of the local buckling behavior of perforated square hollow sections with non-uniform wall thickness under axial compression

Dundar,

Nuraliyev

2024

JIENS

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“…Additionally, dynamic fracture analyses were carried out in a polycrystalline microstructure by a proposed bond-based PD model [41]. Besides, fracture mechanics simulations of functionally graded materials (FGMs) were performed using ordinary statebased PD [42,43]. In particular, toughness enhancement strategies were also proposed for FGMs [43].…”

Section: Introductionmentioning

confidence: 99%

Peridynamic modeling of toughening enhancement in unidirectional fiber-reinforced composites with micro-cracks

Basoglu

Kefal

Zerin

et al. 2022

Composite Structures

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“…Meanwhile, a couple of contributions introduced more freely selectable weighting factors. 29,39,40 Recently, Ahmadi et al 41 determined the parameters by considering both the distance to the interface and the number of neighboring points of dissimilar material. Behera et al 37 employed a Heaviside function to assign the parameters.…”

Section: Introductionmentioning

confidence: 99%

“…Cheng et al 26 used the proportion of the material coefficients to identify a weighting factor. Meanwhile, a couple of contributions introduced more freely selectable weighting factors 29,39,40 . Recently, Ahmadi et al 41 determined the parameters by considering both the distance to the interface and the number of neighboring points of dissimilar material.…”

Section: Introductionmentioning

confidence: 99%

A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics

Laurien

Javili

Steinmann

2022

Numerical Meth Engineering

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In this contribution, we present a novel approach on how to treat material interfaces in nonlocal models based on peridynamics (PD) and in particular continuum-kinematics-inspired peridynamics (CPD), a novel variationally consistent peridynamic formulation. Our method relies on a nonlocal interface where the material subdomains overlap. Within this region, a kinematic coupling of the two constituents is enforced. The contact is purely geometrical as interaction forces act only between points of the same material. We provide a detailed description of the computational implementation within the framework of CPD, that is in principle applicable to all formulations of PD. A variety of numerical examples for modeling bimaterial interfaces illustrate the utility of the technique for both two-dimensional and three-dimensional problems, including examples at large deformations. Our model approaches a local model when the nonlocality parameter, the horizon size, is decreased. The proposed methodology offers a viable alternative to previous approaches in PD, which are essentially imposing mixture rules for the interfacial material parameters.

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An improved ordinary-state based peridynamic formulation for modeling FGMs with sharp interface transitions

Cited by 17 publications

References 44 publications

Parametric study on the assessment of the local buckling behavior of perforated square hollow sections with non-uniform wall thickness under axial compression

Parametric study on the assessment of the local buckling behavior of perforated square hollow sections with non-uniform wall thickness under axial compression

Peridynamic modeling of toughening enhancement in unidirectional fiber-reinforced composites with micro-cracks

A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics

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