Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures

Krpensky, A.; Hruška, Viktor; Bednařı́k, Michal

doi:10.1016/j.wavemoti.2023.103208

Wave Motion

2023

DOI: 10.1016/j.wavemoti.2023.103208

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Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures

A. Krpensky

Viktor Hruška

Michal Bednařı́k

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2024

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Cited by 3 publications

References 37 publications

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Simultaneous manipulation of longitudinal and transverse elastic waves with a sharp focusing effect and customizable energy splitting ratios

Peng,

Fan,

Mei

2024

Journal of Applied Physics

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Mode coupling and conversion between longitudinal and transverse modes are ubiquitous and universal in elastic waves, presenting a challenge in realistic applications such as nondestructive evaluation and geological exploration, where independent and separate manipulation of each mode is demanded. In this article, we propose a design of elastic metalens that can realize a high-efficiency focusing for the longitudinal wave and a V-shaped converging pattern for the transverse wave at the same time. The metalens is constructed from a metagrating, where each meta-atom has a simple configuration and renders high diffraction efficiency even for large steering angles, enabled by concurrent utilization of grating diffraction theory and advanced optimization algorithms. Interestingly, an arbitrary energy splitting ratio between the reflected longitudinal and transverse waves can be obtained by precisely controlling the coupling strength and conversion efficiency between them, providing improved flexibility and adaptability to various application environments. Two illustrative examples with a sharp focusing effect and tailored conversion efficiency are explicitly demonstrated, with a 50/50 energy splitting ratio between the longitudinal and transverse waves in the first case, and a 70/30 ratio in the second one.

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Simultaneous manipulation of longitudinal and transverse elastic waves with a sharp focusing effect and customizable energy splitting ratios

Peng,

Fan,

Mei

2024

Journal of Applied Physics

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A semi-analytical simulation method for bi-directional functionally graded cantilever beams under arbitrary static loads

Zhang,

Liao,

Fan

et al. 2024

Smart Mater. Struct.

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This paper presents a novel semi-analytical simulation approach for analyzing the behaviour of bi-directional functionally graded cantilever beams subjected to arbitrary static loads, such as concentrated moments, concentrated forces, distributed force and their combinations applied at any location along the beam. The fundamental equations governing the cantilever beam’s response are derived, on the basis of which the proposed semi-analytical method is implemented using MATLAB programming language. The simulation results include field variables as well as stress contours, providing a compressive understanding of the beam’s behaviour. To validate the accuracy and reliability of the proposed method, a convergence study is conducted in comparison with the graded finite element method (GFEM) and analytical solutions. In the end, the developed method is applied to simulate the bending behaviour of bi-directional functionally graded cantilever beams under various loads individually and their combinations. The stress contours and deflection curves obtained from the simulation are compared with the solutions obtained using GFEM, revealing that the developed method possesses excellent capability in accurately simulating the bending behaviour of cantilever beams.

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Size-Dependent Finite Element Analysis of Functionally Graded Flexoelectric Shell Structures Based on Consistent Couple Stress Theory

Deng,

Shang

2024

Aerospace

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The functionally graded (FG) flexoelectric material is a potential material to determine the structural morphing of aircrafts. This work proposes the penalty 20-node element based on the consistent couple stress theory for analyzing the FG flexoelectric plate and shell structures with complex geometric shapes and loading conditions. Several numerical examples are examined and prove that the new element can predict the size-dependent behaviors of FG flexoelectric plate and shell structures effectively, showing good convergence and robustness. Moreover, the numerical results reveal that FG flexoelectric material exhibits better bending performance and higher flexoelectric effect compared to homogeneous materials. Moreover, the increase in the material length scale parameter leads to a gradual increase in the natural frequencies of the out-of-plane modes of FG flexoelectric plate/shell, while the natural frequencies of the in-plane modes change minimally, resulting in the occurrence of mode-switching phenomena.

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Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures

Cited by 3 publications

References 37 publications

Simultaneous manipulation of longitudinal and transverse elastic waves with a sharp focusing effect and customizable energy splitting ratios

Simultaneous manipulation of longitudinal and transverse elastic waves with a sharp focusing effect and customizable energy splitting ratios

A semi-analytical simulation method for bi-directional functionally graded cantilever beams under arbitrary static loads

Size-Dependent Finite Element Analysis of Functionally Graded Flexoelectric Shell Structures Based on Consistent Couple Stress Theory

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