Stopbands for lower-order Lamb waves in one-dimensional composite thin plates

Chen, Jiujiu; Zhang, Kai-Wen; Gao, Jian; Cheng, Jianchun

doi:10.1103/physrevb.73.094307

Cited by 100 publications

(46 citation statements)

References 35 publications

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“…We also promote an efficient method named HRA to study the propagation and transmission of acoustic waves in 1D phononic crystal plates. Comparing with TRA [1,2,8], HRA is more time-saving due to its direct calculation in frequency domain and more powerful for the acquirability of displacement field under certain frequency load, which can be further employed to the designation of various phononic crystal functionalities such as filters, resonators and waveguides. With this method, we can study the cases both without and with substrates.…”

Section: Periodic Structure Without/with Substrate By Fe Methodsmentioning

confidence: 99%

“…The transmissivity of the finite structure to Lamb wave modes was also calculated by taking into account the effective plate velocities of the two constituent materials [14]. Based on a rigorous theory of elastic wave, Chen et al [1] have employed plane wave expansion (PWE) method and transient response analysis (TRA) to demonstrate the existence of stop bands for lower-order Lamb wave modes in 1D plate. Gao et al [8] have developed a virtual plane wave expansion (V-PWE) method to study the substrate effect on the band gaps of lower-order Lamb waves propagating in thin plate with 1D phononic crystal coated on uniform substrate.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the study on elastic waves in phononic crystal plates is becoming a research hotspot due to its potential applications, especially in wireless communication, transducer and sensor system [1][2][3][4][5][6][7][8][9][10]. The phononic crystal plates commonly consist of two materials with large contrast in elastic properties and densities, arranging in a periodic (or quasiperiodic) array.…”

Section: Introductionmentioning

confidence: 99%

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Acoustic Waves in Phononic Crystal Plates

Zou¹,

Zhu²,

Liang³

et al. 2010

Acoustic Waves

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some of the exciting applications presented in this book. This collection of up-to-date information and research outcomes on SAW technology will be of great interest, not only to all those working in SAW based technology, but also to many more who stand to benefit from an insight into the rich opportunities that this technology has to offer, especially to develop advanced, low-powered biomedical implants and passive communication devices.

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Section: Periodic Structure Without/with Substrate By Fe Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Acoustic Waves in Phononic Crystal Plates

Zou¹,

Zhu²,

Liang³

et al. 2010

Acoustic Waves

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“…6(b) the reflective coefficient computed by FEM. 37 The geometry we used is depicted in Fig. 6(c): forces polarized along z direction, uniform in space and time-varying according to a pulsed function f(t), were applied in the form of fringes in front of a PC made of identical air holes in a silicon plate.…”

Section: A Focusing Inside Grin Pcmentioning

confidence: 99%

Beam paths of flexural Lamb waves at high frequency in the first band within phononic crystal-based acoustic lenses

2014

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International audienceThis work deals with an analytical and numerical study of the focusing of the lowest order anti-symmetric Lamb wave in gradient index phononic crystals. Computing the ray trajectories of the elastic beam allowed us to analyze the lateral dimensions and shape of the focus, either in the inner or behind the phononic crystal-based acoustic lenses, for frequencies within a broad range in the first band. We analyzed and discussed the focus-ing behaviors inside the acoustic lenses where the focalization at sub-wavelength scale was achieved. The focalization behind the gradient index phononic crystal is shown to be efficient as well: we report on FMHM = 0.63λ at 11MHz

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“…The first theoretical works on PhPs [70,110,111,71] predicted the existence of bandgaps in solid-solid PhPs. Zhang et al [73] comes up with the first experimental evidence of Lamb gaps for air-aluminum and air-brass two-dimensional PhPs.…”

Section: Full Elasto-acoustic Theorymentioning

confidence: 99%

Ultrasonic transmission through periodically perforated plates

BELTRAN¹

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AgradecimientosLa presente tesis doctoral no hubiera sido posible sin la ayuda de mucha gente a la cual quiero mostrar mi agradecimiento en estas líneas.A Jaime Llinares por orientarme, darme la oportunidad de hacer el doctorado y presentarme a Francisco Meseguer.A Francisco Meseguer por depositar su confianza en mí para participar en este proyecto, por mostrarme el mundo fascinante de la física y guiarme en el campo de la investigación.A Antonio Uris por su dedicación como director de este trabajo y por transmitirme su constancia y empuje.A Francisco Belmar y Pilar Candelas por iniciarme en el mundo de los ultrasonidos y de los taladros, por su guía en los entresijos del doctorado y por las horas de fresadora y de medidas que compartimos.A Javier García de Abajo por su inestimable ayuda con los modelos teóricos, por su paciencia y por mostrarme el mundo de la física teórica y el arte de los modelos numéricos.A José M. Bravo por su entusiasmo y ayuda con los experimentos y los cálculos de FEM.Al CSIC por la beca JAE-predoctoral, gracias a la cual he podido desarrollar esta investigación a tiempo completo.Al grupo de metamateriales del Centro de Tecnologías Físicas por el excelente ambiente de trabajo. A Roberto Fenollosa por las conversaciones siempre interesantes sobre física y su ayuda en el laboratorio. A Isabelle Rodríguez por su gran ayuda con el lado químico de la fuerza. A Fernando Ramiro por esas entretenidas conversaciones y por su interés por las cosas del otro lado del Atlántico. A Michal Tymczenko por hacerme hablar en inglés. A Fernando y a Michal por su ayuda con los cacharros del taller y del iii laboratorio para los montajes experimentales, por su consejo y ayuda con Maquinón y por sus discusiones de Mac contra PC. A Moisés Garín por ser un férreo defensor y promotor del sofware libre, la limpieza y la seguridad en el trabajo. A Ana Moreno por su ayuda en el laboratorio y su compañía a la hora de comer y a Elisabet Xifré y a Elvira Bonet por alegrarme las mañanas. A Umut y a Lei por las amenas e interesantes conversaciones de camino a casa.A Fernando Cabrelles por su ayuda con el montaje experimental y la fresadora, por enseñarme que las cosas pueden ser más difíciles que lo que uno piensa y más fáciles que lo que uno imagina.Al grupo de Javier: Rebecca, Isabel, Alejandro, Xesús, Viktor y Johan por las amenas conversaciones sobre física y la inmejorable compañía en Madrid y en congresos.A Vicente y Ana por su acogida, su apoyo, su ejemplo y su consejo. A Vicent por hacerme sentir como en casa y a Ana por su excelente sentido del humor.A mis padres, Héctor e Idelvira, por su esfuerzo y su apoyo desde la distancia, por su entrega, su comprensión y su generosidad. A mis hermanas, Victoria y Verónica, por su alegría y complicidad.A mi esposa Ana, por su paciencia, su apoyo constante y su amor. AbstractBeing capable of mimicking some phenomena inherent in atomic scales, macroscopic periodic structures have been subject to intensive research in the last two decades. Perforated plates, although a very c...

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Stopbands for lower-order Lamb waves in one-dimensional composite thin plates

Cited by 100 publications

References 35 publications

Acoustic Waves in Phononic Crystal Plates

Acoustic Waves in Phononic Crystal Plates

Beam paths of flexural Lamb waves at high frequency in the first band within phononic crystal-based acoustic lenses

Ultrasonic transmission through periodically perforated plates

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