Reflection and transmission of plane waves from fluid-piezothermoelastic solid interface

Sukhija, Hema; Vashishth, Anil K.

doi:10.1007/s10483-015-1892-9

Cited by 22 publications

(16 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The boundary value problem (2), ( 3), ( 8) to ( 15), ( 30) and (31) corresponding to the static three-dimensional model of the thermo-electro-magneto-elastic solid is equivalent to equations ( 23), ( 24), (32) and (33) in spaces of twice continuously differentiable functions. On the basis of the latter, in the next sections we obtain the so-called weak or variational formulations of the static problem (2), ( 3), ( 8) to ( 15), ( 30) and (31) and the dynamic problem (1) to ( 4) and ( 8) to (16), and investigate the existence and uniqueness of the corresponding solutions in suitable function spaces.…”

Section: Formulation Of the Static And Dynamic Three-dimensional Modelsmentioning

confidence: 99%

“…, respectively, and v ∈ V( ), θ ∈ V θ ( ). For the problem (40) to (44), which is equivalent to the initial boundary value problem (1) to ( 4) and (8) to (16) in the spaces of classical twice continuously differentiable functions, we prove the following existence, uniqueness and continuous dependence theorem.…”

Section: Analysis Of the Dynamic Problemmentioning

confidence: 99%

“…Applying the potential method and theory of pseudodifferential equations, Natroshvili [11] studied static and pseudo-oscillation problems with basic, mixed and crack-type boundary conditions for homogeneous anisotropic thermo-electro-magneto-elasticity. For various classical and nonclassical models of piezoelectric solids, problems of propagation of waves, methods of solutions of corresponding initial and initial boundary value problems, applications of the obtained results and related topics are considered by many researchers (see [8][9][10][11][12][13][14][15][16][17][18][19][20][21] and the references given therein).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical analysis of static and dynamic three-dimensional models of thermo-electro-magneto-elastic solids

Avalishvili

Benjeddou

2020

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

This paper is devoted to the investigation of three-dimensional models of thermo-electro-magneto-elastic solids made of a multidomain inhomogeneous anisotropic material. General boundary and initial boundary value problems corresponding to the static and dynamic models are studied where, on certain parts of the boundary, mechanical displacement, electric and magnetic potentials and temperature vanish and, on the corresponding remaining parts of the boundary, the mechanical stress vector and components of the electric displacement, magnetic induction and heat flux along the outward normal vector of the boundary are given. Variational formulations of the boundary and initial boundary value problems are obtained and, applying them, existence and uniqueness results and the continuous dependence of solutions on given data, in suitable factor spaces of Sobolev spaces or spaces of vector-valued distributions, are proved.

show abstract

Section: Formulation Of the Static And Dynamic Three-dimensional Modelsmentioning

confidence: 99%

Section: Analysis Of the Dynamic Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical analysis of static and dynamic three-dimensional models of thermo-electro-magneto-elastic solids

Avalishvili

Benjeddou

2020

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

show abstract

“…Koval (1980) studied the transmission as well as the reflection at plane displacement discontinuity surface in second gradient solid. In this regard, another work by Vashishth and Sukhija (2015) was suggested across the reflection and transmission of plane wave from a fluid-piezothermoelastic solid interface. Consequently, Tang et al (1996aTang et al ( , 1996c considered honeycomb core as an intermediate layer to enhance the amount of STL.…”

Section: Introductionmentioning

confidence: 99%

Wave transmission across laminated composite plate in the subsonic flow Investigating Two-variable Refined Plate Theory

Talebitooti

Johari

Zarastvand

2018

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

The main aim of this paper is to employ an extension of two-variable Refined Plate Theory (RPT2) to determine Sound Transmission Loss (STL) across laminated composite plate in contrast to external excitation. It should be noted that RPT2 known as a second type of Refined Plate Theory which includes the extension term in displacement field. To achieve this goal, firstly, the lateral displacements are expanded by considering three parts, including shear, bending and extension term to provide an analytical model based on two-variable Refined Plate Theory without considering the effect of the shear correction coefficient in governing equations. Secondly, vibro-acoustic analysis is administered by incorporating the laminated composite plate equation beside the acoustic wave equation, simultaneously. Consequently, the power transmission through the structure is specified due to a plane sound wave. Beside, in order to illustrate the accuracy of the present formulation (RPT2), the obtained STL is compared with those available in literature. However, the application of present study (RPT2) is clarified in the acoustical designs due to presenting more precise results in comparison with Classical Plate Theory. Eventually, the numerical results are achieved to determine the influences of various properties on STL.

show abstract

“…Vashishth and Sukhija [35] studied reflection and transmission of plane waves from a fluid-piezothermoelastic solid interface. Kumar and Kumar [36] studied the elastodynamic response of thermal laser pulse in a micropolar thermoelastic diffusion medium.…”

Section: Introductionmentioning

confidence: 99%

Reflection of Plane Waves at Micropolar Piezothermoelastic Half-space

Kumar¹,

Nidhi²,

Lata³

et al. 2018

CMST

View full text Add to dashboard Cite

A problem of reflection at a free surface of micropolar orthotropic piezothermoelastic medium is discussed in the present paper. It is found that there exist five type plane waves in micropolar orthotropic piezothermoelastic medium, namely quasi longitudinal displacement wave (quasi LD wave), quasi thermal wave (quasi T wave), quasi CD-I, quasi CD-II wave and electric potential wave (PE wave). The amplitude ratios corresponding to reflected waves are obtained numerically. The effect of angle of incidence and thermopiezoelectric interactions on the reflected waves are studied for a specific model. Some particular cases of interest are also discussed.

show abstract

Reflection and transmission of plane waves from fluid-piezothermoelastic solid interface

Cited by 22 publications

References 42 publications

Mathematical analysis of static and dynamic three-dimensional models of thermo-electro-magneto-elastic solids

Mathematical analysis of static and dynamic three-dimensional models of thermo-electro-magneto-elastic solids

Wave transmission across laminated composite plate in the subsonic flow Investigating Two-variable Refined Plate Theory

Reflection of Plane Waves at Micropolar Piezothermoelastic Half-space

Contact Info

Product

Resources

About