Reflection and transmission of Lamb waves at an imperfect joint of plates

Mori, Naoki; Biwa, Shiro; Hayashi, Takahiro

doi:10.1063/1.4791711

Cited by 32 publications

(40 citation statements)

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“…Recently, Mori et al [12] analyzed the reflection and transmission characteristics of Lamb waves at a butt joint of plates based on the spring-type interface model, which has been frequently used to analyze the interaction of ultrasonic waves with various imperfect interfaces [13][14][15][16][17][18][19][20][21][22]. They demonstrated that the reflection and transmission coefficients of the lowest-order symmetric (S0) and antisymmetric (A0) Lamb modes at the joint vary with the frequency and the interfacial stiffnesses.…”

Section: Introductionmentioning

confidence: 99%

Transmission of Lamb waves and resonance at an adhesive butt joint of plates

Mori

Biwa

2016

Ultrasonics

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The transmission behavior of Lamb waves and the possible occurrence of resonance at an adhesive butt joint of plates are studied experimentally. To this purpose, two 2.5-mm thick aluminum alloy plates are bonded at their edges using cyanoacrylate-based adhesive. Bonded plate specimens with different joint conditions are prepared by changing the bonding procedure. The measurements are performed for the transmission characteristics of the lowest-order symmetric (S0) and antisymmetric (A0) Lamb modes for the frequency range of 0.4-0.6MHz below the cut-off frequency of the higher-order modes. The experimental results show that the transmission coefficients of the S0 and A0 modes exhibit different frequency-dependent characteristics depending on the joint condition. Furthermore, for the incidence of the S0 mode at the center frequency of 1MHz, the transmitted S0 mode in weakly bonded specimens shows a long oscillation tail due to the resonance effect. The experimental results are discussed in the light of the theoretical results based on the spring-type interface model. The interfacial stiffnesses identified from the transmission coefficients are shown to be correlated with the bonding condition of the joint and give reasonable estimates of the resonance frequencies of weakly bonded specimens.

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Section: Introductionmentioning

confidence: 99%

Transmission of Lamb waves and resonance at an adhesive butt joint of plates

Mori

Biwa

2016

Ultrasonics

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“…31 In this approximation, the reflection and transmission coefficients of the extensional wave, jRj and jTj, are determined by the normalized parameter qc 1 x/K N ¼ (c 1 X)/(c T K) and do not depend on the tangential stiffness K T , where c 1 is the velocity of extensional waves in thin plates. In Fig.…”

Section: Reflection and Transmission Characteristics Of The S0 Modementioning

confidence: 99%

“…(9) serves as a measure of numerical errors such as the truncation error of the infinite series. 31,33 After some trials, the value of d was kept within 3.5% in the frequency range X ¼ xh/c T < X S1,S2 by setting the numerical parameters as N ¼ 7 and L ¼ 2.88 h (988 nodes and 900 elements). The out-of-plane (z direction) displacement amplitude at the corner of the free edge is plotted in Fig.…”

Section: B Setting Of Numerical Parametersmentioning

confidence: 99%

“…Pecorari 30 analyzed scattering of Rayleigh waves at a surface-breaking crack with its faces in partial contact. Recently, the reflection and transmission characteristics of the lowest-order Lamb modes at an imperfect joint of plates have been analyzed by Mori et al 31 for the low frequency range below the cut-off frequency of the first-order antisymmetric (A1) Lamb mode. It is also intriguing to investigate the possible resonance behavior of a spring-type imperfect joint of plates.…”

Section: Introductionmentioning

confidence: 99%

“…In Sec. III, a semianalytical approach using the hybrid finite element method (HFEM) [31][32][33] is introduced. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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Resonance of an imperfect joint of plates by the lowest-order symmetric Lamb mode

Mori

Biwa

2015

The Journal of the Acoustical Society of America

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Resonance behavior of an imperfect joint of elastic plates subjected to the incidence of the lowest-order symmetric (S0) Lamb mode is numerically analyzed in the frequency domain by the hybrid finite element method. To this purpose, the reflection and transmission characteristics of the S0 mode are calculated for the frequency range in which the S0 mode is the only symmetric mode that can propagate in the plates. The imperfect joint is modeled as a linear spring-type interface characterized by the normal and tangential stiffnesses. As a result, it is shown that the imperfect joint of plates has two resonance frequencies at which the out-of-plane displacement amplitudes at the joint are remarkably increased. One resonance frequency depends only on the normal stiffness, and the other only on the tangential stiffness. Each resonance frequency coincides with that of a free edge of a plate, and monotonically increases with the corresponding joint stiffness. Furthermore, it is also shown that the reflection and transmission behavior of the S0 mode at the imperfect joint of the plates can be well reproduced by the one-dimensional thin-plate approximation of extensional waves when the frequency is sufficiently small compared to the resonance frequencies.

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Structural‐Distortion‐Driven Magnetic Transformation from Ferro‐ to Ferrimagnetic Iron Chains in B₆‐based Nb₆FeIr₆B₈

et al. 2018

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We report on as tructural distortion of kinetically stable B 6 -based ferromagnetic Nb 6 FeIr 6 B 8 that induces an unprecedented transformation of aferromagnetic Fe chain into two ferrimagnetic Fe chains through superstructure formation. Density functional theory calculations showed that the ferromagnetic Fe-Fei ntrachain interactions found in the undistorted structure become ferrimagnetic in the distorted superstructure,m ainly because the two independent iron atoms building eachc hain interact antiferromagnetically and carry different magnetic moments.H igh-temperature SQUIDm agnetometry confirmed ferrimagnetic orderinga t5 25 Kw ith ah igh and negative Weiss constant of À972 Ki ndicating the presence of strong antiferromagnetic interactions,aspredicted. This finding paves the way for the development of lowdimensional magnetic intermetallic systems based on Heisenberg ferrimagnetic chains,which have previously been studied only in molecular-based compounds.Transition-metal-rich borides form an interesting class of compounds with aw ide range of crystal structures and interesting physical properties. [1][2][3][4][5][6][7][8][9][10][11] All these attributes have made borides ar ich playground for the creation of new compositions and structure types and for studying the influence of these structures on their physical properties. Thed ifferent physical properties of borides,l ike for other materials,are directly related to their crystal structure,which in the case of borides is influenced by the arrangement of boron atoms. [4] One such arrangement is the planar B 6 ring, first reported in the compound Ti 7 Rh 4 Ir 2 B 8 [12] and later found in several other phases,such as M 7 T 6 B 8 (M = Nb,T a; T= Ru, Rh, Ir), [13] Nb 6 Fe 1Àx Ir 6+x B 8 , [14] and M 7 Fe 3 B 8 (M = Nb,T a). [15] Although B n rings have been extensively studied in the gas phase,t hey are rare entities both in molecular-based and solid-state chemistry. [16][17][18][19][20] However,t hey were predicted by experimentalists and theoreticians studying gas-phase species[*] N.

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Reflection and transmission of Lamb waves at an imperfect joint of plates

Cited by 32 publications

References 39 publications

Transmission of Lamb waves and resonance at an adhesive butt joint of plates

Transmission of Lamb waves and resonance at an adhesive butt joint of plates

Resonance of an imperfect joint of plates by the lowest-order symmetric Lamb mode

Structural‐Distortion‐Driven Magnetic Transformation from Ferro‐ to Ferrimagnetic Iron Chains in B₆‐based Nb₆FeIr₆B₈

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Reflection and transmission of Lamb waves at an imperfect joint of plates

Cited by 32 publications

References 39 publications

Transmission of Lamb waves and resonance at an adhesive butt joint of plates

Transmission of Lamb waves and resonance at an adhesive butt joint of plates

Resonance of an imperfect joint of plates by the lowest-order symmetric Lamb mode

Structural‐Distortion‐Driven Magnetic Transformation from Ferro‐ to Ferrimagnetic Iron Chains in B6‐based Nb6FeIr6B8

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Product

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Structural‐Distortion‐Driven Magnetic Transformation from Ferro‐ to Ferrimagnetic Iron Chains in B₆‐based Nb₆FeIr₆B₈