2D fracture analysis of magnetoelectroelastic composites by the SBFEM

Li, Chao; Tong, Liyong

doi:10.1016/j.compstruct.2015.07.015

Cited by 19 publications

(3 citation statements)

References 33 publications

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“…a crack or a notch. The robustness of the scaled boundary finite element method for such applications has been reported in the literature for two-dimensional analyses of problems ranging from linear elastic materials [92,93,94,95], laminated composites [96], piezoelectric materials [97,52,98,53,54] and elastomers [99]. The stress intensity factors K I , K II and T −stress are determined.…”

Section: Examples Of Evaluation Of Stress Intensity Factors and T −Stmentioning

confidence: 99%

A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics

Song

Ooi

Natarajan

2018

Engineering Fracture Mechanics

138

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The development and the application of the scaled boundary finite element method for fracture analysis is reviewed. In this method, polygonal elements (referred to as subdomains) of arbitrary number of edges are constructed, with the only limitation that the whole boundary is directly visible from the scaling centre. The element solution is semianalytical. When applied to two-dimensional linear fracture mechanics, any kinds of stress singularities are represented analytically without local refinement, special elements and enrichment functions. The flexibility of polygonal elements in geometric shape leads to simple yet efficient remeshing algorithms to model crack propagation. Coupling procedures with the extended finite element method, meshless method and boundary element method to handle changes in the crack morphology have been established. These developments result in an efficient framework for fracture modelling. Examples of applications are provided to demonstrate their feasibility.

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Section: Examples Of Evaluation Of Stress Intensity Factors and T −Stmentioning

confidence: 99%

A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics

Song

Ooi

Natarajan

2018

Engineering Fracture Mechanics

138

View full text Add to dashboard Cite

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“…The SBFEM [15,16] as a semi-analysis approach has been widely used to analyze different problems, such as fracture mechanics [17][18][19], electromagnetic field [20][21][22], hydraulic structures [23][24][25][26][27], heat conduction [28], and so on. The SBFEM inherits the advantages of the BEM and FEM with some unique properties of its own.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Quadruple Corner-Cut Ridged Elliptical Waveguide by NURBS Enhanced Scaled Boundary Finite Element Method

Xue

Lei

et al. 2021

IEEE Access

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The scaled boundary finite element method(SBFEM) is a semi-analysis method, combing the advantages of boundary element method and finite element method. However, in solving the quadruple corner-cut ridged elliptical(QCRE) waveguide, the traditional SBFEM employ the Lagrange polynomials as the basis functions which leads to the curved boundaries cannot be exactly represented and the continuity order across element is low. In this paper, a non-uniform rational B-spline (NURBS) enhanced SBFEM is firstly extended to solve the QCRE waveguide, which can exactly describe the curved boundaries, reduce the spatial dimensions by one and obtain analytically results in the radial direction. According to its symmetry, only a quarter of the ridged elliptical waveguide needs to be simulated and subdivided into several subdomains. The curved boundaries and straight boundaries of the subdomains are described and discretized by the NURBS and Lagrange basis functions, respectively. The side-face boundaries do not need to be discretized. Then, the NURBS enhanced SBFEM governing equation of the waveguide eigenvalue problem is derived based on the vibrational principle and scaled boundary coordinate transforming. Finally, a generalized eigenvalue equation respecting to the cut-off wave numbers is established by introducing the boundary dynamic stiffness and employing a continued fraction solution. Numerical results verify the high computational efficiency and accuracy of the NURBS enhanced SBFEM with exactly describing the curved boundaries. The influence of the corner-cut on the cut-off wave numbers of several modes and single-mode bandwidth are investigated in details.INDEX TERMS scaled boundary finite element method, elliptical waveguide, NURBS basis function, quadruple corner-cut ridge, cut-off wave number.

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“…A more comprehensive treatment on the application of the SBFEM to linear elastic fracture mechanics (LEFM) can be found in [22]. In solving problems involving cracks, the SBFEM has been proven to be efficient as the crack tip singularity for different types of stress concentrations viz, notches, cracks at bi-material interfaces, anisotropic cracks [23][24][25][26][27] comes as a solution of the SBFEM. Capitalizing on this advantage, the SBFEM has been used to analyze cracks in piezoelectric materials [28], functionally graded materials [29], elasto-plastic materials [30] elegantly.…”

Section: Introductionmentioning

confidence: 99%

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

Pramod

Ooi

Song

et al. 2018

Composite Structures

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2D fracture analysis of magnetoelectroelastic composites by the SBFEM

Cited by 19 publications

References 33 publications

A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics

A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics

Analysis of Quadruple Corner-Cut Ridged Elliptical Waveguide by NURBS Enhanced Scaled Boundary Finite Element Method

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

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