Shock-induced thermal wave propagation and response analysis of a viscoelastic thin plate under transient heating loads

This paper is devoted to the thermal shock analysis for viscoelastic materials under transient heating loads. The governing coupled equations with time-delay parameter and nonlocal scale parameter are derived based on the generalized thermo-viscoelasticity theory. The problem of a thin plate composed of viscoelastic material, subjected to a sudden temperature rise at the boundary plane, is solved by employing Laplace transformation techniques. The transient responses, i.e. temperature, displacement, stresses, heat flux as well as strain, are obtained and discussed. The effects of time-delay and nonlocal scale parameter on the transient responses are analyzed and discussed. It can be observed that: the propagation of thermal wave is dynamically smoothed and changed with the variation of time-delay; while the displacement, strain, and stress can be rapidly reduced by nonlocal scale parameter, which can be viewed as an important indicator for predicting the stiffness softening behavior for viscoelastic materials.     

Asymmetric propagation of the first order antisymmetric lamb wave in a tapered plate based on time domain analysis

The asymmetric propagation of the first order antisymmetric (A₁) Lamb wave in a tapered plate respectively carved with sharp bottom corner and round bottom corner is theoretically investigated. Through numerical simulation of A₁ Lamb wave in time domain, we find that when the thickness of the waveguide abruptly decreases to below the cut-off thickness, about half of the A₁ mode is converted into the fundamental symmetrical S₀ and antisymmetrical A₀ modes to pass through the defected region. Furthermore, the transmitted modes A₀ and S₀ are completely apart from each other and can be quantitatively evaluated. Conversely, when the thickness change is very smooth, most of the energy of A₁ Lamb wave is reflected back. It is the unique mode conversion behavior that leads to great transmission difference value of A₁ Lamb wave along the opposite directions. Finally, the influence of geometrical parameters on the transmission coefficient is also studied. The higher efficiency and proper working frequency range can be realized by adjusting the slope angle θ, height h ₁ and h ₂. The simple asymmetric systems will be potentially significant in applications of ultrasound diagnosis and therapy.     

Study on laser-generated Lamb waves propagation in viscoelastic and anisotropic plate

The propagation characteristics of laser-generated Lamb waves in thin composite plates are theoretically studied. Taking the anisotropic and viscoelastic properties of the composite material into account, the finite element models for simulating laser-generated Lamb waves in the composite material are established in the frequency domain. Numerical results are calculated in purely elastic and viscoelastic transversely isotropic plates, respectively. The effects of the anisotropic and viscoelastic properties on the propagation of Lamb waves are analyzed in detail. The numerical results exhibit that the features of the laser-generated Lamb wave, including attenuation, velocity, frequency, and the dispersive nature, have a close relationship with the anisotropic and viscoelastic properties of the material.     

有粘弹薄层负载时薄板中的Lamb波传播

从弹性波理论出发,结合边界条件,导出了一面有粘弹薄层负载时薄板中Lamb波的色散方程,通过数值计算,研究了薄板中Lamb波传播色散、衰减等特性及负载层参数对Lamb波传播的影响。最后提出了一种结合Lamb波和SH波微传感实现粘弹薄膜材料复Lamē参数λ^*和μ^*的定征方法。     

固体板中SH板波非线性效应的实验观察

采用微扰近似和导波的模式展开分析方法,从理论上简要分析了SH板波的二次谐波发生效应;尽管在无限大固体介质中单个切变波的二次谐波发生效应非常微弱,但在一定条件下由两个切变波构成的SH板波可具有强烈的非线性效应;本文的主要工作就是对此结论加以实验验证。试制了激发SH板波的切变波斜劈换能器和接收二次谐波信号的液体斜劈换能器,建立了非线性SH板波的实验研究系统;通过详细的理论分析和对比实验研究,阐明了在一定条件下实验观察到的显著二次谐波信号来源于SH板波传播过程中的强烈非线性效应。此外,针对不同的SH板波传播距离,在远场条件下分别测量了相应的二次谐波幅频曲线;在基频SH板波与二倍频对称兰姆波相速度相等所对应的频率值附近,分析了二次谐波的振幅随传播距离的变化关系,结果证明在一定条件下SH板波的二次谐波振幅可随传播距离积累增长,即SH板波可具有强烈的非线性效应。     

Bending wave propagation along a symmetric groove in an elastic plate

Normal bending waves propagating along a symmetric groove in an infinite elastic plate are considered. The characteristic equations in wave numbers of these modes are obtained for symmetric and antisymmetric modes of vibration. Critical frequencies and eigenfunctions of the problem are determined. Results of numerical calculations for the wave numbers, critical frequencies, and modes of vibration are presented.     

Love-type wave propagation in a pre-stressed viscoelastic medium influenced by smooth moving punch

In the present paper, a mathematical model studying the effect of smooth moving semi-infinite punch on the propagation of Love-type wave in an initially stressed viscoelastic strip is developed. The dynamic stress concentration due to the punch for the force of a constant intensity has been obtained in the closed form. Method based on Weiner–hopf technique which is indicated by Matczynski has been employed. The study manifests the significant effect of various affecting parameters viz. speed of moving punch associated with Love-type wave speed, horizontal compressive/tensile initial stress, vertical compressive/tensile initial stress, frequency parameter, and viscoelastic parameter on dynamic stress concentration due to semi-infinite punch. Moreover, some important peculiarities have been traced out and depicted by means of graphs.     

Scattering of Rayleigh-Lamb waves by a surface breaking crack in an elastic plate

This work studies the problem of scattering of Rayleigh-Lamb waves by a thin surface-breaking crack. The problem is solved by the projection method, which exploits some orthogonality relations deduced from the reciprocal theorem. Numerical results obtained by the projection method are compared with the results obtained using a finite element method reported by other authors for the case of a flat crack, finding good agreement. From the numerical results it is observed that, as the wave number of the incident wave, so for instance, is smaller, the reflected and transmitted energy corresponding to the converted mode, A0 in this case, are almost equal to each other. An explanation for this result is given, based on the asymptotic nature of the modes S0 and A0 for small wave numbers.     

无限长粘弹性圆柱管中轴对称波的传播模式和衰减

在Kelvin-Voigt线性粘弹性模型框架内研究了无限长粘弹性圆柱管中轴对称波的传播和衰减。通过一个复根搜索程序对频散方程的求解得到无量纲化相速度频散曲线和衰减曲线。比较了引入损耗因子后粘弹性圆柱管与弹性圆柱管中轴对称波传播的特性。给出了圆柱管的外内径之比、损耗因子和材料参数对相速度和衰减的影响。分析结果表明与弹性圆柱管相比粘弹性圆柱管中轴对称波的各阶传播模式均存在衰减,高阶传播模式并无严格意义的截止频率。损耗因子对第一阶传播模式的相速度影响很小,而对衰减的影响则比较大,穿孔率对波传播的相速度和衰减有相当大的影响。     

Lamb wave propagation in a plate with a grooved surface with several spatial periodicities

In order to investigate non-destructively the bonding between rough plates, the problem of Lamb waves propagating on a rough plate is addressed in this paper. Numerical analysis is performed on periodical gratings made of identical triangular grooves. If the surface profile is made up of grooves with one periodicity, then a mode conversion is observed. In the wave-number/frequency space, a phonon relation is written between phonons related to the grating and to the incident and reflected-converted modes. If the grooved surface is made up of several spatial periodicities, then the phonon relation is still verified. Signal processing allows us to give an interpretation of the results in the dual space (wave-number/frequency). An experimental study is also performed to corroborate the numerical predictions.     

Guided wave propagation and mode differentiation in hollow cylinders with viscoelastic coatings

Guided wave propagation theories have been widely explored for about one century. Earlier theories on single-layer elastic hollow cylinders have been very beneficial for practical nondestructive testing on piping and tubing systems. Guided wave flexural (nonaxisymmetric) modes in cylinders can be generated by a partial source loading or any nonaxisymmetric discontinuity. They are especially important for guided wave mode control and defect analysis. Previous investigations on guided wave propagation in multilayered hollow cylindrical structures mostly concentrate on the axisymmetric wave mode characteristics. In this paper, the problem of guided wave propagation in free hollow cylinders with viscoelastic coatings is solved by a semianalytical finite element (SAFE) method. Guided wave dispersion curves and attenuation characteristics for both axisymmetric and flexural modes are presented. Due to the fact that dispersion curve modes obtained from SAFE calculations are difficult to differentiate from each other, a mode sorting method is established to distinguish modes by their orthogonality. Theoretical proof of the orthogonality between guided wave modes in a viscoelastic coated hollow cylinder is provided. Wave structures are also calculated and discussed in view of wave mechanics in multilayered cylindrical structures containing viscoelastic materials.     

Experimental analysis of acousto-ultrasonic wave propagation mode in thin plate

1IlltroductionAcousto-Ultrajsonicsisanewmethodfornon-destructivetestingandevaluationoftheplates,whichwasproposedbyAmericanscientistsattheendofthe19703s[1'2].ThetermofAcousto--Ultrasonicsmaybetakenasacontractionof"acousticemissionsimulationwithultrasonicsources."Inacousto--ultrasonicapproach,thesenderandreceiverareusuallycoupledtothesamesurfaceofthetestedobject.Thissatisfiestheneedoftestingononesideinmanycases.Inordertoexcitethestresswaves,whichpropagateparalleltothesurfaceofthetestedplate,th…     

薄板声-超声检测超声传播模式的实验研究

在声-超声检测中,人们用纵波换能器在被测板材表面的某一位置向试件中发射宽带超声波,接收换能器则设置在试件同一表面的另一位置,因此,正确认识这种检测形式下的超声波传播特性是有效应用该技术的基础。本文通过实验研究证实,薄板在声-超声检测形式下激发出的超声波的主要成分是多模式的兰姆波。文中用声-超声方法在两种厚度的铝板中激发并接收到了宽带的兰姆波。     

固体板中超声驻波场的高阶光弹条纹

利用动态光弹法观测了超声波在固体板内多次反射形成的驻波。通过相干叠加增大声波应力,使得动态光弹实验中偏振光的相位变化大于一个周期,从而观测到固体内超声波由行波转化为驻波的过程,并对高阶干涉条纹反映的驻波场特性进行了讨论。通过对声波应力进行定量测量,评估了固体板中超声驻波的激发效率。本文的工作为利用动态光弹法研究透明固体中的高强度声波提供了一种可行的方法。     

Harmonic wave propagation in an infinite viscoelastic medium with a periodic array of cylindrical elastic fibers

The work involves the propagation of plane harmonic waves in an infinite isotropic medium in which a doubly periodic array of cylindrical fibers is embedded. The direction of propagation is perpendicular to the fibers and the matrix material is taken to be viscoelastic in shear, modeled through hereditary integrals. A finite element method based on Galerkin's technique is employed, which leads to a non-linear eigenvalue problem. An iterative scheme is used to obtain two modes of dispersion, for both real and imaginary wave numbers, for a specific composite.     

General solution of cumulative second harmonic by Lamb wave propagation in a solid plate

A straightforward approach has been developed for the general solution of cumulative second harmonic by Lamb wave propagation in a solid plate. The present analyses of second-harmonic generation by Lamb waves focus on the cases where the phase velocity of the fundamental Lamb wave is exactly or approximately equal to that of the double frequency Lamb wave （DFLW）. Based on the general solution obtained, the numerical analyses show that the cumulative second-harmonic fields are associated with the position of excitation source and the difference between the phase velocity of the fundamental Lamb wave and that of the dominant DFLW component.     

非线性兰姆波在阶梯板中传播的有限元仿真

在非线性兰姆波检测中,累积二次谐波是重要的检测信号.该文利用有限元法仿真了非线性兰姆波在阶梯板中的产生和传播过程,通过二维离散傅里叶变换分析了兰姆波的传播模态和各个模态通过波导横截面的能流大小,给出了各个模态在阶梯板中的反射、透射系数,总结了其随阶梯板厚度的变化规律.研究发现,随着台阶增高,散射效应使得兰姆波更难入射波...     

SH wave propagation in a piezoelectric/piezomagnetic plate with an imperfect magnetoelectroelastic interface

In this paper, we investigate the SH wave propagation in a layered piezoelectric (PE) and piezomagnetic (PM) plate with an imperfect magnetoelectroelastic interface. A linear magnetoelectroelastic spring model is used to describe the weakness of the imperfect interface. On the basis of this model, dispersion curves and mode shapes of the SH waves are computed. In particular, a PZT-5A/CoFe₂O₄ composite plate is considered in the numerical examples to calculate the dispersion curves and the mode shapes for different combinations of the magnetic, electrical and elastic spring constants. The effects of the layer thickness ratio and the electric-magnetic boundary conditions on the dispersion curves are discussed in details. Our results show that for a general weak bonding case, the high modes of the dispersion curves are not monotonous in the range of small wave numbers. With the layer thickness ratio increasing, the wave velocities of the SH waves increase. The electric boundary conditions mainly determine the dispersion curves of the SH waves in the case of a small layer thickness ratio, i.e. a large thickness of the PE layer. The present results have relevant applications in the nondestructive testing and evaluation of the layered PE/PM plate-like wave devices.     

基于分数阶流变模型的铁基块体非晶合金黏弹性行为研究

采用分数阶黏弹单元替代经典模型中的黏壶, 结合非晶合金在外加载荷作用下的微观结构演化, 建立了以分数阶微积分表示的非晶合金黏弹性本构模型. 并根据Hertz弹性理论及分数阶黏弹性本构模型, 推导了块体非晶合金在纳米压痕球形压头下的位移与载荷及时间关系式. 基于推导的解析式, 对铁基块体非晶合金在表观弹性区的纳米压痕位移与载荷及时间曲线进行了非线性拟合分析. 相较于整数阶模型, 分数阶模型不仅具有较高的拟合精度, 其拟合参数能敏锐地反应加载速率对块体非晶合金黏弹性行为的影响, 且参数的变化规律与载荷作用下非晶合金微观结构演化呈现出较强的相关性.     

激光激发粘弹表面波特性分析

研究了粘弹Rayleigh波的传播特性。基于基本粘弹理论,推导出了粘弹Rayleigh波频散方程及位移表述式,探讨了粘弹模量对波频散特性及衰减特性的影响。发现在小粘滞的情况下,粘弹对相速度的影响不大,波的衰减和粘滞模量近似成正比,同样量级的体变粘滞引起的频散及衰减比切变粘滞要小很多。数值上还计算了粘弹Rayleigh瞬态波形,计算结果与理论预言一致。