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1
Content available Characteristics of SH waves in multilayered piezoelectric semiconductor plates considering interfacial imperfection
Luo Y. H., Zhang X. M., Gao A. R.
Archives of Mechanics
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2025
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Vol. 77, nr 4
355--378
EN
The dispersion and attenuation characteristics of SH waves in piezoelectric semiconductor multilayered plates with imperfect interfaces are investigated using the improved Legendre orthogonal polynomial method. The field quantities of each layer are expanded into individual Legendre polynomials. By incorporating the interface conditions, the imperfect interface model is integrated into the Legendre polynomials associated with the imperfect interface layer. This method ultimately converts the complex wave partial differential equations into a generalized eigenvalue problem, thereby eliminating the redundant integration operations typical of traditional polynomial methods and allowing for the derivation of complete solutions throughout the entire wave frequency domain. The solutions are then plotted in three-dimensional frequency-complex wavenumber space, thus gaining much deeper insight into the nature of modes. The study encompasses cases ranging from a single-layer ZnO plate, which serves to validate the method, to bilayered and sandwiched piezoelectric semiconductor plates with imperfect interfaces. The effects of steady-state carrier concentration, imperfect interface coefficients, and stacking sequences on the phase velocity, dispersion, and attenuation curves of SH waves are illustrated. The findings can offer a theoretical foundation for controlling the wave characteristics of piezoelectric semiconductors and for the design of acoustic devices.
2
Content available Modeling of time and frequency dependent behavior of viscoelastic multi-layered reinforced composites with imperfect interfaces
Bouchikhi Ahmed, Bakkali Abderrahmane, Abouelhanoune Younes
Advances in Science and Technology. Research Journal
|
2025
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Vol. 19, no. 8
44--67
EN
In this work, a two-step homogenization strategy is developed to predict the frequency and time-dependent effective behavior of multi-layered reinforced viscoelastic composites with imperfect interfaces. In the first step, the modeling is based on the extension of a matrix formulation, initially developed for multi-layered elastic composites with perfect interfaces, to the case of multi-layered viscoelastic composites with imperfect interfaces. This extension is made by using the Laplace Carson transform to transform the linear viscoelastic constitutive law to another one analogous to the elastic one and an adapted linear spring model for viscoelastic imperfect interfaces. In the second step, the well-known Mori-Tanaka micromechanical model is used to estimate the effective behavior of each reinforced layer. The estimated effective behavior is injected into the developed matrix formulation to obtain the effective behavior of the considered multi-layered composite. The effective behavior is estimated both in the frequency and time domains. For comparison, a perfect hybrid model in which the interface is considered as an interlayer with an equivalent thickness is considered. Numerical results are presented in the frequency and time domains with respect to constituent volume fractions and imperfect interface effects. The developed approach allows one to design multi-layered viscoelastic composites taking into account the geometric and mechanical parameters of constituents.
3
Content available Response of stiffness and viscosity on the energy ratios at piezo-visco-thermo-elastic medium
Kumar Sandeep, Kumari Neelam, Gupta Vipin, Barak M. S.
International Journal of Applied Mechanics and Engineering
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2024
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Vol. 29, no. 1
54--72
EN
This article presents a mathematical framework that characterizes a transversely isotropic piezo-visco-thermo-elastic medium within the context of the dual-phase lags heat transfer law (PVID) applied to an elastic medium (ES). Specifically, the study investigates the propagation of plane waves within the elastic medium and their interaction with the imperfect interface of the ES/PVID media. This interaction results in two waves reflecting back into the elastic medium and four waves propagating through the piezo-visco-thermo-elastic medium. The research explores the distribution of energy between the reflected and transmitted waves by analyzing amplitude ratios at the boundary interfaces, considering factors such as phase delays, viscosity effects, and wave frequency. The study illustrates the influence of boundary stiffness and viscosity parameters on these energy ratios through graphical representations. The study's findings are consistent with the principles of the energy balance law, and the research also delves into specific cases of interest. Overall, this investigation provides insights into wave behavior within complex media and offers potential applications across various fields.
4
Content available Effect of initial stress on the reflection and transmission of plane waves at an imperfect interface between two orthotropic elastic half-spaces
Tung D. X.
Archives of Mechanics
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2024
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Vol. 76, nr 6
515--532
EN
The effects of initial stress on the reflection and transmission waves at the imperfect interface between two orthotropic half spaces are studied in this paper. A linear spring model is used to describe the imperfection of bonding behavior at the interface. Reflection and transmission coefficients (RTCs) have been derived analytically when a quasi-longitudinal (qP) wave strikes for both the imperfect and perfect interface. Finally, numerical examples are provided to show the effect of the imperfect interface, initial stress and incident angle on the RTCs, energy ratios, reflection and transmission angles of waves.
5
Content available Rayleigh wave propagation in isotropic sandy layer sliding over isotropic sandy semi-infinite medium with sliding contact
Madan Dinesh Kumar, Kumar Naveen, Rani Annu
International Journal of Applied Mechanics and Engineering
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2023
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Vol. 28, no. 1
58--70
EN
The present study aims to investigate Rayleigh wave propagation in an isotropic sandy layer overlying an isotropic sandy semi-infinite medium, with interface considered to be imperfect (slide contact and dislocation like model). Expressions for displacement components are obtained using the variable separation method. The dispersion frequency equation for the Rayleigh wave propagating in sandy media is derived using suitable boundary conditions. Particular cases, such as when the interface is in smooth contact and when sandy media are replaced by elastic media, are also discussed. Using MATLAB software, the effects of the imperfectness parameter (slide contact and dislocation like model) and sandy parameter on the Rayleigh waves’ phase velocity are investigated and compared with the already obtained results of the dislocation like model. The present study may find useful applications in geophysics, civil engineering and soil mechanics.
6
Content available Influence of imperfect interface of anisotropic thermomagnetoelectroelastic bimaterial solids on interaction of thin deformable inclusions
Sulym Heorhiy, Vasylyshyn Andrii, Pasternak Iaroslav
Acta Mechanica et Automatica
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2022
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Vol. 16, no. 3
242--249
EN
This work studies the problem of thermomagnetoelectroelastic anisotropic bimaterial with imperfect high-temperature conducting coherent interface, whose components contain thin inclusions. Using the extended Stroh formalism and complex variable calculus, the Somigliana-type integral formulae and the corresponding boundary integral equations for the anisotropic thermomagnetoelectroelastic bimaterial with high-temperature conducting coherent interface are obtained. These integral equations are introduced into the modified boundary element approach. The numerical analysis of new problems is held and results are presented for single and multiple inclusions.
7
Content available Love waves in fiber-reinforced layer imperfectly bonded to microstructural couple stress substrate
Sharma Vishal, Sharma Vikas
Journal of Theoretical and Applied Mechanics
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2020
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Vol. 58 nr 1
221--232
EN
Interior of the Earth is quite complex and it shows many heterogeneities in the form of microstructures. It is difficult to model the Earth in mathematical formulation of a problem, yet it is always desirable that the proposed model should be the nearest approximation of the Earth. In this paper, Love waves are investigated, using a new geometrical configuration which consists of a finite thicker fiber-reinforced layer lying over a couple stress half-space having internal microstructures. The two media are assumed to be imperfectly bonded to each other at the interface. Dispersion and damping equations are derived for the propagation of Love waves in the considered model. The impact of various parameters like imperfectness at the interfacial surface, thickness of the layer, characteristic length parameter of the halfspace, direction of reinforcement are studied on the phase and damping velocities of Love waves.
8
Content available Two imperfectly bonded half-planes with an arbitrary inclusion subject to linear eigenstrains in anti-plane shear
Sudak L. J.
Archives of Mechanics
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2019
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Vol. 71, nr 6
615--631
EN
An analytic solution to the anti-plane problem of an arbitrary inclusion within an elastic bimaterial under the premise of linear eigenstrains is developed. The bonding along the bimaterial interface is considered to be homogeneously imperfect. The boundary value problem is reduced to a single nonhomogeneous first order differential equation for an analytic function prescribed in the lower half-plane where the inclusion is located. The general solution is given in terms of the imperfect interface parameter and an auxiliary function constructed from the conformal mapping function. In particular, the solution obtained for a circular inclusion demonstrates that the imperfect interface together with the prescribed linear eigenstrains have a pronounced effect on the induced stress field within the inclusion and show a strong non-uniform behaviour especially when the inclusion is near the imperfect interface. Specific solutions are derived in a closed form and verified with existing solutions.
9
Content available A circular inclusion with inhomogeneous sliding imperfect interface in harmonic materials
McArthur D. R., Sudak L. J.
Archives of Mechanics
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2018
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Vol. 70, nr 4
365--386
EN
In the following study we rigorously analyze the problem of a circular inclusion with inhomogeneous imperfect sliding interface in finite deformation of harmonic materials. The work begins by defining the inhomogeneous sliding boundary conditions characterized by two interface parameters corresponding to the normal and tangential coordinate directions (with respect to the interface boundary curve), respectively. Then, through the process of analytic continuation the problem is eventually reduced to the determination of a single analytic function given by an ordinary differential equation with variable coefficients. A specific example is selected to illustrate the method. The effects of the circumferential variation of the interface parameter on the mean stress at the interface and the average mean stress in the inclusion are discussed.
10
Content available Boundary integral equations for an anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities
Sulym H., Pasternak I., Tomashivskyy M.
Acta Mechanica et Automatica
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2016
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Vol. 10, no. 1
66--74
EN
This paper studies a thermoelastic anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities. Based on the complex variable calculus and the extended Stroh formalism a new approach is proposed for obtaining the Somigliana type integral formulae and corresponding boundary integral equations for a thermoelastic bimaterial consisting of two half-spaces with different thermal and mechanical properties. The half-spaces are bonded together with mechanically perfect and thermally imperfect interface, which model interfacial adhesive layers present in bimaterial solids. Obtained integral equations are introduced into the modified boundary element method that allows solving arbitrary 2D thermoelacticity problems for anisotropic bimaterial solids with imperfect thin thermo-resistant interfacial layer, which half-spaces contain cracks and thin inclusions. Presented numerical examples show the effect of thermal resistance of the bimaterial interface on the stress intensity factors at thin inhomogeneities.
11
Content available remote Modeling of Stiff Interfaces : from Statics to Dynamics
Dumont S., Lebon F., Rizzoni R.
Machine Dynamics Research
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2013
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Vol. 37, No. 1
37-50
EN
In this paper, some results on the asymptotic behavior of stiff thin interfaces in elasto-statics are recalled. A specific study of stiff interfaces in elastodynamics is presented and a numerical procedure is given.
12
Content available Transmission conditions for a soft elasto-plastic interphase between two elastic materials. Plane strain state
Mishuris G., Ochsner A.
Archives of Mechanics
|
2005
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Vol. 57, nr 2-3
157--169
EN
A thin interphase between two different elastic media is under consideration. It is assumed that the intermediate layer consists of a soft elasto-plastic material whose Young's modulus is small enough in comparison with those of the bounding materials, Using an asymptotic technique, nonlinear transmission conditions for the bimaterial structure are evaluated. As a numerical example, a FEM analysis of a bimaterial structure with an interface is performed to investigate the accuracy of the derived transmission conditions.
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