Pub Date : 2025-12-04DOI: 10.1016/j.wavemoti.2025.103688
A.A. Youssef , N.K. Amein , F.A. Salama , A.F. Ghaleb , Ethar A A Ahmed
This paper studies the nonlinear behavior of Rayleigh surface waves in a piezo-thermoelastic half-space under the framework of the dual-phase-lag (DPL) theory. The nonlinearity arises from the temperature dependence of the dielectric moduli, which leads to coupled electro-thermo-mechanical interactions. The governing equations are solved analytically using a perturbation technique up to the second-order approximation, revealing the generation of higher-order harmonics. Numerical simulations demonstrate how thermal relaxation times and dielectric nonlinearity affect the surface wave characteristics. The findings are relevant to wave propagation in functional materials with temperature-dependent electromechanical properties and are important for applications in surface acoustic wave (SAW) devices and thermo-sensitive smart systems.
{"title":"Nonlinear surface waves in a piezo-thermoelastic half-space with temperature-dependent dielectric moduli in dual-phase-lag","authors":"A.A. Youssef , N.K. Amein , F.A. Salama , A.F. Ghaleb , Ethar A A Ahmed","doi":"10.1016/j.wavemoti.2025.103688","DOIUrl":"10.1016/j.wavemoti.2025.103688","url":null,"abstract":"<div><div>This paper studies the nonlinear behavior of Rayleigh surface waves in a piezo-thermoelastic half-space under the framework of the dual-phase-lag (DPL) theory. The nonlinearity arises from the temperature dependence of the dielectric moduli, which leads to coupled electro-thermo-mechanical interactions. The governing equations are solved analytically using a perturbation technique up to the second-order approximation, revealing the generation of higher-order harmonics. Numerical simulations demonstrate how thermal relaxation times and dielectric nonlinearity affect the surface wave characteristics. The findings are relevant to wave propagation in functional materials with temperature-dependent electromechanical properties and are important for applications in surface acoustic wave (SAW) devices and thermo-sensitive smart systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103688"},"PeriodicalIF":2.5,"publicationDate":"2025-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145747845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-28DOI: 10.1016/j.wavemoti.2025.103687
H.Y. Chen , Q.H. Yang , G.Y. Li , L.F. Fan , M. Wang
A dual-triple combination characteristic line method was proposed to study stress wave propagation through Intact-Defected-Intact (IDI) composite strata. A separated diamond element based on dual-triple combination characteristic lines was introduced to study the stress wave propagation between the intact rock and the defective rock mass. An elastic-viscoelastic combination model was adopted to equivalently study the stress wave propagation through the IDI composite strata. The present method was compared with the traditional method, which employs the elastic models. Subsequently, the stress wave with different incident waveforms (such as half-sinusoidal, rectangular, triangular and explosion shock waves) propagation through IDI composite strata was systematically analyzed. The effect of the incident waveform on the transmission coefficient was discussed. Results indicate that the amplitudes of transmitted waves predicted by the present method were smaller than those obtained by traditional methods. The amplitude of the transmitted wave is largest in the case of the rectangular wave and smallest in the case of the right-triangular wave. The present method efficiently considers the effects of different mechanical properties of various strata on wave propagation with different incident waveforms.
{"title":"A dual-triple combination characteristic line method for stress wave propagation across the Intact-Defected-Intact (IDI) composite strata","authors":"H.Y. Chen , Q.H. Yang , G.Y. Li , L.F. Fan , M. Wang","doi":"10.1016/j.wavemoti.2025.103687","DOIUrl":"10.1016/j.wavemoti.2025.103687","url":null,"abstract":"<div><div>A dual-triple combination characteristic line method was proposed to study stress wave propagation through Intact-Defected-Intact (IDI) composite strata. A separated diamond element based on dual-triple combination characteristic lines was introduced to study the stress wave propagation between the intact rock and the defective rock mass. An elastic-viscoelastic combination model was adopted to equivalently study the stress wave propagation through the IDI composite strata. The present method was compared with the traditional method, which employs the elastic models. Subsequently, the stress wave with different incident waveforms (such as half-sinusoidal, rectangular, triangular and explosion shock waves) propagation through IDI composite strata was systematically analyzed. The effect of the incident waveform on the transmission coefficient was discussed. Results indicate that the amplitudes of transmitted waves predicted by the present method were smaller than those obtained by traditional methods. The amplitude of the transmitted wave is largest in the case of the rectangular wave and smallest in the case of the right-triangular wave. The present method efficiently considers the effects of different mechanical properties of various strata on wave propagation with different incident waveforms.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103687"},"PeriodicalIF":2.5,"publicationDate":"2025-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-24DOI: 10.1016/j.wavemoti.2025.103678
Semyon Churilov
Long-distance transmission of energy by waves is a key mechanism for many natural processes. It becomes possible when the inhomogeneous medium is arranged in such a manner that it enables a specific type of waves to propagate with virtually no reflection or scattering. If the corresponding linear wave equation admits factorization, at least one of the waves it describes propagates without reflection. The paper is devoted to searching for conditions under which both solutions of a one-dimensional factorized wave equation of the second order describe traveling waves, that is, waves propagating without reflection. Possible variants of wave structure are found and the results are compared with those obtained in previous studies.
{"title":"Searching for traveling wave solutions in inhomogeneous moving media by factorizing the wave equation","authors":"Semyon Churilov","doi":"10.1016/j.wavemoti.2025.103678","DOIUrl":"10.1016/j.wavemoti.2025.103678","url":null,"abstract":"<div><div>Long-distance transmission of energy by waves is a key mechanism for many natural processes. It becomes possible when the inhomogeneous medium is arranged in such a manner that it enables a specific type of waves to propagate with virtually no reflection or scattering. If the corresponding linear wave equation admits factorization, at least one of the waves it describes propagates without reflection. The paper is devoted to searching for conditions under which both solutions of a one-dimensional factorized wave equation of the second order describe traveling waves, that is, waves propagating without reflection. Possible variants of wave structure are found and the results are compared with those obtained in previous studies.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103678"},"PeriodicalIF":2.5,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-23DOI: 10.1016/j.wavemoti.2025.103679
Wenhua Chen , Xueguang Liu , Zhiyong Yin , Yudong Sun , Weixi Huang
Determining the sound propagation characteristics of fluid-filled pipes is essential in acoustic stealth and leakage detection research. This study develops a rapid method for assessing the acoustic transmission properties of fluid-filled pipes under practical conditions involving an external medium. Initially, coupled equations for the fluid-filled pipe and the surrounding medium are established. Based on the dispersion characteristics, the influence of different external media on the propagation of the s = 1 wave mode is analyzed. Overall, the surrounding medium affects both wave speed and transmission loss within the pipe. Specifically, the added damping introduced by the external medium increases acoustic transmission loss. When the external medium exerts an axial force on the pipe, its axial natural frequency increases (by about a factor of 100 when embedded in soil compared to water), thereby suppressing resonant peaks in the transmission loss. The loading effect of the external medium also alters wave speed. When the pipe is embedded in soil, the low-frequency wave speed increases notably. A transfer matrix describing the relationship between variables at both ends of the pipe is derived using fluid pressure and displacement and pipe force and displacement. This model accounts for the external elastic medium, a feature frequently neglected in prior studies, to provide a more accurate representation of practical scenarios such as buried and subsea pipelines. Based on this matrix, a method for calculating transmission loss is developed, substantially reducing the time required to solve complex partial differential equations. The computed transmission loss aligns well with simulation data, validating the proposed method. Overall, the approach considerably enhances computational efficiency, making it suitable for engineering applications.
{"title":"Rapid computation of sound transmission in fluid-filled pipes coupled with an outer elastic medium","authors":"Wenhua Chen , Xueguang Liu , Zhiyong Yin , Yudong Sun , Weixi Huang","doi":"10.1016/j.wavemoti.2025.103679","DOIUrl":"10.1016/j.wavemoti.2025.103679","url":null,"abstract":"<div><div>Determining the sound propagation characteristics of fluid-filled pipes is essential in acoustic stealth and leakage detection research. This study develops a rapid method for assessing the acoustic transmission properties of fluid-filled pipes under practical conditions involving an external medium. Initially, coupled equations for the fluid-filled pipe and the surrounding medium are established. Based on the dispersion characteristics, the influence of different external media on the propagation of the s = 1 wave mode is analyzed. Overall, the surrounding medium affects both wave speed and transmission loss within the pipe. Specifically, the added damping introduced by the external medium increases acoustic transmission loss. When the external medium exerts an axial force on the pipe, its axial natural frequency increases (by about a factor of 100 when embedded in soil compared to water), thereby suppressing resonant peaks in the transmission loss. The loading effect of the external medium also alters wave speed. When the pipe is embedded in soil, the low-frequency wave speed increases notably. A transfer matrix describing the relationship between variables at both ends of the pipe is derived using fluid pressure and displacement and pipe force and displacement. This model accounts for the external elastic medium, a feature frequently neglected in prior studies, to provide a more accurate representation of practical scenarios such as buried and subsea pipelines. Based on this matrix, a method for calculating transmission loss is developed, substantially reducing the time required to solve complex partial differential equations. The computed transmission loss aligns well with simulation data, validating the proposed method. Overall, the approach considerably enhances computational efficiency, making it suitable for engineering applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103679"},"PeriodicalIF":2.5,"publicationDate":"2025-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145623930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-19DOI: 10.1016/j.wavemoti.2025.103677
Hongzhi Fu
Based on lattice vibration, the 3-branches of lattice waves of GaN (longitudinal wave, slow transverse lattice wave and fast transverse lattice wave) are systematically studied with phase and group wave surfaces. Their properties about the phonon transportation and phonon focusing as well as the degeneracy are investigated in Gaussian curvature. According to the theory of sound field and wave in crystals, we mainly focus on bulk phonon polaritons, exciton polaritons and surface polaritons in GaN. The properties are investigated on the dispersion of phonon polaritons and exciton dispersion polaritons with electromagnetic waves.
{"title":"Phonon focusing and polaritons of GaN","authors":"Hongzhi Fu","doi":"10.1016/j.wavemoti.2025.103677","DOIUrl":"10.1016/j.wavemoti.2025.103677","url":null,"abstract":"<div><div>Based on lattice vibration, the 3-branches of lattice waves of GaN (longitudinal wave, slow transverse lattice wave and fast transverse lattice wave) are systematically studied with phase and group wave surfaces. Their properties about the phonon transportation and phonon focusing as well as the degeneracy are investigated in Gaussian curvature. According to the theory of sound field and wave in crystals, we mainly focus on bulk phonon polaritons, exciton polaritons and surface polaritons in GaN. The properties are investigated on the dispersion of phonon polaritons and exciton dispersion polaritons with electromagnetic waves.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103677"},"PeriodicalIF":2.5,"publicationDate":"2025-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145624798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-17DOI: 10.1016/j.wavemoti.2025.103676
Limu Qin , Jie Zhou , Gen Zhang , Yue Xu , Chenhao Wu , Wen He
The vibrating liquid column calibration method (VLCCM) constitutes a critical calibration technique for low-frequency hydrophones, where its acoustic field analytical solution (AFAS) underpins primary calibration accuracy. Current international standards derive the VLCCM's AFAS from the Helmholtz equation under rigid boundary conditions. However, these boundary conditions cannot be fully realized in practice, inducing significant deviations in primary calibration results. In this scenario, the acoustic field numerical solutions for vibrating liquid columns under rigid and elastic boundary conditions are calculated by finite element method in this paper, and the discrepancies between numerical and analytical solutions are quantified to characterize acoustic field distribution. Specifically, the resonance and radial uniformity conditions across boundary constraints are investigated, and quantitative indicators such as sound pressure minimum deviation frequency, liquid column-to-vessel height ratio, and radius-to-wall thickness ratio are introduced to systematically analyze the differences between analytical and numerical solutions and establish dimensional design constraints for VLCCM systems.
{"title":"Study on acoustic elasticity of vibrating liquid column used for hydrophone calibration","authors":"Limu Qin , Jie Zhou , Gen Zhang , Yue Xu , Chenhao Wu , Wen He","doi":"10.1016/j.wavemoti.2025.103676","DOIUrl":"10.1016/j.wavemoti.2025.103676","url":null,"abstract":"<div><div>The vibrating liquid column calibration method (VLCCM) constitutes a critical calibration technique for low-frequency hydrophones, where its acoustic field analytical solution (AFAS) underpins primary calibration accuracy. Current international standards derive the VLCCM's AFAS from the Helmholtz equation under rigid boundary conditions. However, these boundary conditions cannot be fully realized in practice, inducing significant deviations in primary calibration results. In this scenario, the acoustic field numerical solutions for vibrating liquid columns under rigid and elastic boundary conditions are calculated by finite element method in this paper, and the discrepancies between numerical and analytical solutions are quantified to characterize acoustic field distribution. Specifically, the resonance and radial uniformity conditions across boundary constraints are investigated, and quantitative indicators such as sound pressure minimum deviation frequency, liquid column-to-vessel height ratio, and radius-to-wall thickness ratio are introduced to systematically analyze the differences between analytical and numerical solutions and establish dimensional design constraints for VLCCM systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103676"},"PeriodicalIF":2.5,"publicationDate":"2025-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145623931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-15DOI: 10.1016/j.wavemoti.2025.103675
Marcelo V. Flamarion , Jimmie Adriazola
In this work, we investigate the stability of hydroelastic periodic traveling waves within a Whitham-type equation framework. The Whitham equation is well known in the literature as a relatively simple model that nevertheless captures rich nonlinear phenomena such as short waves and breaking. Periodic traveling waves are computed numerically, and their stability is analyzed by evaluating the spectrum via the Fourier–Floquet–Hill method. We show that for small values of the flexural rigidity coefficient, small-amplitude periodic traveling waves are unstable; however, as the amplitude increases beyond a critical threshold, we first observe stabilization (not complete); subsequently, the spectrum bifurcates, and the traveling waves become increasingly unstable. In contrast, when the flexural rigidity coefficient is large, periodic traveling waves remain stable for all amplitudes. For moderate elasticity, two scenarios may occur: either (i) the maximal instability growth rate exhibits a monotonic dependence on the wave height, or (ii) complete stabilization is achieved for sufficiently large heights within numerical tolerance.
{"title":"Stability of periodic traveling waves for the hydroelastic Whitham equation","authors":"Marcelo V. Flamarion , Jimmie Adriazola","doi":"10.1016/j.wavemoti.2025.103675","DOIUrl":"10.1016/j.wavemoti.2025.103675","url":null,"abstract":"<div><div>In this work, we investigate the stability of hydroelastic periodic traveling waves within a Whitham-type equation framework. The Whitham equation is well known in the literature as a relatively simple model that nevertheless captures rich nonlinear phenomena such as short waves and breaking. Periodic traveling waves are computed numerically, and their stability is analyzed by evaluating the spectrum via the Fourier–Floquet–Hill method. We show that for small values of the flexural rigidity coefficient, small-amplitude periodic traveling waves are unstable; however, as the amplitude increases beyond a critical threshold, we first observe stabilization (not complete); subsequently, the spectrum bifurcates, and the traveling waves become increasingly unstable. In contrast, when the flexural rigidity coefficient is large, periodic traveling waves remain stable for all amplitudes. For moderate elasticity, two scenarios may occur: either (i) the maximal instability growth rate exhibits a monotonic dependence on the wave height, or (ii) complete stabilization is achieved for sufficiently large heights within numerical tolerance.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103675"},"PeriodicalIF":2.5,"publicationDate":"2025-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145579340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-14DOI: 10.1016/j.wavemoti.2025.103674
M.B.M. Sales , M.C.P. Dos Santos , C.B.F. Gomes , I.F. Chagas , F.N. Pereira , E.J.P. Miranda Jr.
This work aimed to investigate the influence of mass spatial distribution of 3D resonator on the formation of attenuation zones in elastic metamaterial (EM) thin plates, considering bending vibrations and maintaining constant mass, volume, and density. The mass distribution in real systems can be more accurately represented through 3D resonators, enabling the use of geometric parameters to improve vibration and wave control. The investigation was conducted using the finite element method (FEM). The attenuation zones were identified through dispersion diagrams, , considering the influence of transverse waves via the polarization factor, which is consistent with the frequency response function (FRF). A supercell approach was employed to represent the combination of different geometries, mass distributions, and parameter progressions. The midgap frequency and bandwidth of attenuation zones proved to be highly sensitive to 3D resonator geometry, even under constant mass conditions, due to the influence of mass spatial distribution, which affected both the stiffness and the moment of inertia. A trade-off was identified between lowering the midgap frequency and narrowing the bandwidth, which was overcome by increasing the resonator width. The progression of geometric parameters and the combination of different geometries enabled simultaneous reduction of the midgap frequency and expansion of the bandwidth, resulting in up to five distinct attenuation zones. Thus, geometric adjustments allow vibrational performance improvements without increasing mass, manufacturing time, or structural cost. This approach simplifies the fabrication of 3D resonators and offers a lighter alternative with improved dynamic performance, establishing a viable solution for 3D printing applied to vibration control in engineering applications.
{"title":"Generation of multiple bending wave and vibration attenuation zones by constant-mass spatial distribution of 3D resonators in elastic metamaterial thin plates","authors":"M.B.M. Sales , M.C.P. Dos Santos , C.B.F. Gomes , I.F. Chagas , F.N. Pereira , E.J.P. Miranda Jr.","doi":"10.1016/j.wavemoti.2025.103674","DOIUrl":"10.1016/j.wavemoti.2025.103674","url":null,"abstract":"<div><div>This work aimed to investigate the influence of mass spatial distribution of 3D resonator on the formation of attenuation zones in elastic metamaterial (EM) thin plates, considering bending vibrations and maintaining constant mass, volume, and density. The mass distribution in real systems can be more accurately represented through 3D resonators, enabling the use of geometric parameters to improve vibration and wave control. The investigation was conducted using the finite element method (FEM). The attenuation zones were identified through dispersion diagrams, <span><math><mrow><mi>ω</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></math></span>, considering the influence of transverse waves via the polarization factor, which is consistent with the frequency response function (FRF). A supercell approach was employed to represent the combination of different geometries, mass distributions, and parameter progressions. The midgap frequency and bandwidth of attenuation zones proved to be highly sensitive to 3D resonator geometry, even under constant mass conditions, due to the influence of mass spatial distribution, which affected both the stiffness and the moment of inertia. A trade-off was identified between lowering the midgap frequency and narrowing the bandwidth, which was overcome by increasing the resonator width. The progression of geometric parameters and the combination of different geometries enabled simultaneous reduction of the midgap frequency and expansion of the bandwidth, resulting in up to five distinct attenuation zones. Thus, geometric adjustments allow vibrational performance improvements without increasing mass, manufacturing time, or structural cost. This approach simplifies the fabrication of 3D resonators and offers a lighter alternative with improved dynamic performance, establishing a viable solution for 3D printing applied to vibration control in engineering applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103674"},"PeriodicalIF":2.5,"publicationDate":"2025-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145579341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-13DOI: 10.1016/j.wavemoti.2025.103671
Debraj Giri, A.K. Dhar
In this paper linear shear current modified nonlinear Schrödinger (NLS) equation for surface capillary wavetrain has been employed to investigate the modulational instability (MI) and bifurcation of two-dimensional Stokes wavetrain on water of finite depth. Herein, linear shear currents are considered to be a linear combination of constant vorticity and depth uniform current. It is observed that shear currents for finite water depth considerably modify the instability properties of weakly nonlinear Stokes wavetrain. The instability analysis to oblique perturbations on infinite depth of water has been made, showing that the dominant MI is two-dimensional whatever the values of the vorticity. Near the minimum of wave speed it is exhibited that generalized capillary solitary wavetrains bifurcate from pure capillary Stokes wavetrains for positive vorticity. The results shed some lights on the effects of wind forcing and dissipation on the MI. Moreover, the effects of both vorticity and depth uniform currents on the Peregrine breather which can be regarded as the prototype of rogue waves is investigated.
{"title":"Nonlinear modulation of capillary waves on linear shear flows in finite depth","authors":"Debraj Giri, A.K. Dhar","doi":"10.1016/j.wavemoti.2025.103671","DOIUrl":"10.1016/j.wavemoti.2025.103671","url":null,"abstract":"<div><div>In this paper linear shear current modified nonlinear Schrödinger (NLS) equation for surface capillary wavetrain has been employed to investigate the modulational instability (MI) and bifurcation of two-dimensional Stokes wavetrain on water of finite depth. Herein, linear shear currents are considered to be a linear combination of constant vorticity and depth uniform current. It is observed that shear currents for finite water depth considerably modify the instability properties of weakly nonlinear Stokes wavetrain. The instability analysis to oblique perturbations on infinite depth of water has been made, showing that the dominant MI is two-dimensional whatever the values of the vorticity. Near the minimum of wave speed it is exhibited that generalized capillary solitary wavetrains bifurcate from pure capillary Stokes wavetrains for positive vorticity. The results shed some lights on the effects of wind forcing and dissipation on the MI. Moreover, the effects of both vorticity and depth uniform currents on the Peregrine breather which can be regarded as the prototype of rogue waves is investigated.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103671"},"PeriodicalIF":2.5,"publicationDate":"2025-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145528919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-12DOI: 10.1016/j.wavemoti.2025.103673
Leonel Quinteros , Viviana Meruane , Erick I. Saavedra Flores
Phononic crystals (PnCs) are distinguished by their exceptional ability to control the propagation of elastic and acoustic waves in a medium, resulting in the attenuation of wave propagation within specific frequency ranges known as band gaps. This property enables promising engineering applications as metamaterials in fields such as seismic engineering, piezoelectric control, sensing, and sound absorption. Although significant efforts have been made to optimise the design of these metamaterials to maximise band gap width, the relationship between band gap location, size, and scaling laws has not been explicitly established. In this work, we investigate the relationship between band gap frequency, width, and structural scaling. We analyse PnCs from the literature with optimised band gaps, incorporating different types of finite elements, such as truss, beam, and two-dimensional elements, to enhance the scalability analysis. The case studies include three unit cell types: truss-like lattices, two-dimensional plates, and sandwich panels. The results demonstrate a consistent inverse proportionality between band gap frequency and length scale across all studied cases, providing a straightforward scalability rule. Additionally, the study highlights that deviations from strict geometric similarity, often required due to manufacturing constraints or geometric limitations, result in predictable yet non-linear variations in relative band gap properties. Understanding these deviations is crucial for realistic design scenarios, enabling designers to leverage pre-optimised structures effectively, reducing computational effort, and supporting practical applications of phononic metamaterials.
{"title":"Band gap scalability in optimised phononic crystals","authors":"Leonel Quinteros , Viviana Meruane , Erick I. Saavedra Flores","doi":"10.1016/j.wavemoti.2025.103673","DOIUrl":"10.1016/j.wavemoti.2025.103673","url":null,"abstract":"<div><div>Phononic crystals (PnCs) are distinguished by their exceptional ability to control the propagation of elastic and acoustic waves in a medium, resulting in the attenuation of wave propagation within specific frequency ranges known as band gaps. This property enables promising engineering applications as metamaterials in fields such as seismic engineering, piezoelectric control, sensing, and sound absorption. Although significant efforts have been made to optimise the design of these metamaterials to maximise band gap width, the relationship between band gap location, size, and scaling laws has not been explicitly established. In this work, we investigate the relationship between band gap frequency, width, and structural scaling. We analyse PnCs from the literature with optimised band gaps, incorporating different types of finite elements, such as truss, beam, and two-dimensional elements, to enhance the scalability analysis. The case studies include three unit cell types: truss-like lattices, two-dimensional plates, and sandwich panels. The results demonstrate a consistent inverse proportionality between band gap frequency and length scale across all studied cases, providing a straightforward scalability rule. Additionally, the study highlights that deviations from strict geometric similarity, often required due to manufacturing constraints or geometric limitations, result in predictable yet non-linear variations in relative band gap properties. Understanding these deviations is crucial for realistic design scenarios, enabling designers to leverage pre-optimised structures effectively, reducing computational effort, and supporting practical applications of phononic metamaterials.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103673"},"PeriodicalIF":2.5,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145528917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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