Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the Scaled Boundary Finite Element Method

Gravenkamp, Hauke; Birk, Carolin; Song, Chongmin

doi:10.1016/j.jcp.2015.04.032

Cited by 80 publications

(33 citation statements)

References 80 publications

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“…Therefore, Eq. (25) indicates that in the open-circuit condition the structure is stiffened compared to the short-circuit case. This is a well-known effect of the piezoelectric coupling on the elastic behaviour of the material.…”

Section: Electrical Conditionsmentioning

confidence: 99%

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Modelling piezoelectric excitation in waveguides using the semi-analytical finite element method

Kalkowski

Rustighi

Waters

2016

Computers & Structures

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In this paper we present a wave-based technique for modelling waveguides equipped with piezoelectric actuators in which there is no need for common simplifications regarding their dynamic behaviour, the interaction with the waveguide or the bonding conditions. The proposed approach is based on the semianalytical finite element (SAFE) method. We developed a new piezoelectric element and employed the analytical wave approach to model the distributed electrical excitation and scattering of the waves at discontinuities. The model was successfully verified numerically and validated against an experiment on a beam-like waveguide with emulated anechoic terminations.

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Section: Electrical Conditionsmentioning

confidence: 99%

“…for analysis of dynamic cracks in piezoelectric materials in [24] and for simulating guided waves interaction with defects [25].…”

Section: Introductionmentioning

confidence: 99%

Modelling piezoelectric excitation in waveguides using the semi-analytical finite element method

Kalkowski

Rustighi

Waters

2016

Computers & Structures

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“…Coupling this concept with finite element domains has also been reported [32,33]. On the other hand, when applying the SBFEM concept, not only the modes [10,11] but also the dynamic stiffness matrix for a waveguide section of arbitrary length is obtained [12]. This section can be thought of as a particular finite element that can be coupled to conventional FEM or SBFEM domains straightforwardly.…”

Section: Introductionmentioning

confidence: 99%

“…It can be solved directly for both the elastostatic and elastodynamic case by means of an eigenvalue decomposition. The eigenvectors represent displacement modes that can be used to construct a (dynamic) stiffness matrix of a finite or infinite structure [12]. The latter procedure can be applied in a similar manner to the curved structures described in the current paper.…”

Section: Introductionmentioning

confidence: 99%

A semi‐analytical curved element for linear elasticity based on the scaled boundary finite element method

Krome

Gravenkamp

2016

Numerical Meth Engineering

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This work introduces a semi-analytical formulation for the simulation and modeling of curved structures based on the scaled boundary finite element method (SBFEM). This approach adapts the fundamental idea of the SBFEM concept to scale a boundary to describe a geometry. Until now, scaling in SBFEM has exclusively been performed along a straight coordinate that enlarges, shrinks, or shifts a given boundary. In this novel approach, scaling is based on a polar or cylindrical coordinate system such that a boundary is shifted along a curved scaling direction. The derived formulations are used to compute the static and dynamic stiffness matrices of homogeneous curved structures. The resulting elements can be coupled to general SBFEM or FEM domains. For elastodynamic problems, computations are performed in the frequency domain. Results of this work are validated using the global matrix method and standard finite element analysis.

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“…For a theoretically infinitely long waveguide, it is possible to combine a modal expansion solution with a conventional finite element solution, requiring only a small non-uniform section of the waveguide to be meshed [38][39][40][41]. SBFEM is also an efficient alternative, which requires only the boundary of the waveguide to be meshed [42].…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study on the Excitation of Guided Waves in Rectangular Plates Using Multiple Point Sources

Duan

Niu

Gan

et al. 2017

Metals

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Ultrasonic guided waves are widely used to inspect and monitor the structural integrity of plates and plate-like structures, such as ship hulls and large storage-tank floors. Recently, ultrasonic guided waves have also been used to remove ice and fouling from ship hulls, wind-turbine blades and aeroplane wings. In these applications, the strength of the sound source must be high for scanning a large area, or to break the bond between ice, fouling and plate substrate. More than one transducer may be used to achieve maximum sound power output. However, multiple sources can interact with each other, and form a sound field in the structure with local constructive and destructive regions. Destructive regions are weak regions and shall be avoided. When multiple transducers are used it is important that they are arranged in a particular way so that the desired wave modes can be excited to cover the whole structure. The objective of this paper is to provide a theoretical basis for generating particular wave mode patterns in finite-width rectangular plates whose length is assumed to be infinitely long with respect to its width and thickness. The wave modes have displacements in both width and thickness directions, and are thus different from the classical Lamb-type wave modes. A two-dimensional semi-analytical finite element (SAFE) method was used to study dispersion characteristics and mode shapes in the plate up to ultrasonic frequencies. The modal analysis provided information on the generation of modes suitable for a particular application. The number of point sources and direction of loading for the excitation of a few representative modes was investigated. Based on the SAFE analysis, a standard finite element modelling package, Abaqus, was used to excite the designed modes in a three-dimensional plate. The generated wave patterns in Abaqus were then compared with mode shapes predicted in the SAFE model. Good agreement was observed between the intended modes calculated in SAFE and the actual, excited modes in Abaqus.

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Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the Scaled Boundary Finite Element Method

Cited by 80 publications

References 80 publications

Modelling piezoelectric excitation in waveguides using the semi-analytical finite element method

Modelling piezoelectric excitation in waveguides using the semi-analytical finite element method

A semi‐analytical curved element for linear elasticity based on the scaled boundary finite element method

A Numerical Study on the Excitation of Guided Waves in Rectangular Plates Using Multiple Point Sources

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