Numerical estimation of stress intensity factors in cracked functionally graded piezoelectric materials – A scaled boundary finite element approach

Pramod, A.L.N.; Ooi, Ean Tat; Song, Chongmin; Natarajan, Sundararajan

doi:10.1016/j.compstruct.2018.08.006

Cited by 24 publications

(9 citation statements)

References 41 publications

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“…An accurate FE computation can improve the design efficiency and the reliability of the analysis and prediction in the actual engineering applications. Engineering experiences show that the accuracy problems do not only include the assessment of the material [2][3][4][5] but also the geometry model of the engineering structures [6]. The use of the geometric constitution has been verified in the field of the virtual modelling application [7,8].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis based on A Parametric Model by Approximating Point Clouds

Neumann

2020

Remote Sensing

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Simplified models are widely applied in finite element computations regarding mechanical and structural problems. However, the simplified model sometimes causes many deviations in the finite element analysis (FEA) of structures, especially in the non-designed structures which have undergone unknowable deformation features. Hence, a novel FEA methodology based on the parametric model by approximating three-dimensional (3D) feature data is proposed to solve this problem in the present manuscript. Many significant and effective technologies have been developed to detect 3D feature information accurately, e.g., terrestrial laser scanning (TLS), digital photogrammetry, and radar technology. In this manuscript, the parametric FEA model combines 3D point clouds from TLS and the parametric surface approximation method to generate 3D surfaces and models accurately. TLS is a popular measurement method for reliable 3D point clouds acquisition and monitoring deformations of structures with high accuracy and precision. The B-spline method is applied to approximate the measured point clouds data automatically and generate a parametric description of the structure accurately. The final target is to reduce the effects of the model description and deviations of the FEA. Both static and dynamic computations regarding a composite structure are carried out by comparing the parametric and general simplified models. The comparison of the deformation and equivalent stress of future behaviors are reflected by different models. Results indicate that the parametric model based on the TLS data is superior in the finite element computation. Therefore, it is of great significance to apply the parametric model in the FEA to compute and predict the future behavior of the structures with unknowable deformations in engineering accurately.

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Section: Introductionmentioning

confidence: 99%

Finite Element Analysis based on A Parametric Model by Approximating Point Clouds

Neumann

2020

Remote Sensing

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“…Interfacial dynamic cracks analysis in PMs with the extended finite element method has been investigated by Yu et al [29]. Pramod et al [30] developed a scaled boundary finite element formulation for the analysis of functionally graded piezoelectric F I G U R E 1 Geometry and coordinate system for four parallel cracks in piezoelectric materials materials (FGPMs). Singh et al [31] presented an extended isogeometric analysis to model the crack in FGPMs.…”

Section: Introductionmentioning

confidence: 99%

Dynamic intensity factors for multiple permeable cracks in piezoelectric materials

Liu

2020

Z Angew Math Mech

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This article presents the dynamic intensity factors for multiple permeable Mode‐I cracks in piezoelectric materials plane by means of the generalized Almansi's theorem. The Fourier transform is used and the present problem is formulated into two pairs of dual integral equations. The dual integral equations are solved by the Schmidt method. The dynamic stress intensity factors (DSIFs) and the dynamic electric displacement intensity factor (DEDIF) at the crack tips are given. It is shown that the effects of the crack length, the distance between two parallel cracks and the circular frequency of incident wave near the crack tips on the DSIFs and DEDIF.

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“…Paulino et al [17] then established a framework for two dimensional mesh generator written in Matlab. Their applications have been widely utilized in various fields, such as simulation of incompressible fluid flows [18], contact problems [19,20], three dimensional linear elasticity [21], polycrystalline materials [22], and hyper-elastic materials [23], scaled boundary polygonal finite element method (SBPFEM) [24], linear strain smoothing [25], advanced virtual element techniques (VEM) [26,27], limit analysis [28,29] and so on.…”

Section: Introductionmentioning

confidence: 99%

An extended polygonal finite element method for large deformation fracture analysis

Huynh

Tran

Zhuang

et al. 2019

Engineering Fracture Mechanics

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The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of cracks. This paper further investigates the extended finite element method (XFEM) for the simulation of large strain fracture for hyper-elastic materials, in particular rubber ones. A crucial idea is to use a polygonal mesh to represent space of the present numerical technique in advance, and then a local refinement of structured meshes at the vicinity of the discontinuities is additionally established. Due to differences in the size and type of elements at the boundaries of those two regions, hanging nodes produced in the modified mesh are considered as normal nodes in an arbitrarily polygonal element. Conforming these special elements becomes straightforward by the flexible use of basis functions over polygonal elements. Results of this study are shown through several numerical examples to prove its efficiency and accuracy through comparison with former achievements.

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Numerical estimation of stress intensity factors in cracked functionally graded piezoelectric materials – A scaled boundary finite element approach

Cited by 24 publications

References 41 publications

Finite Element Analysis based on A Parametric Model by Approximating Point Clouds

Finite Element Analysis based on A Parametric Model by Approximating Point Clouds

Dynamic intensity factors for multiple permeable cracks in piezoelectric materials

An extended polygonal finite element method for large deformation fracture analysis

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