Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface
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Deepak Kumar
Abstract
We have developed a mathematical model to investigate the reflection/transmission phenomena of plane waves at various imperfect interfaces in initially stressed, rotating, nonlocal orthotropic microstretch thermoelastic half-spaces. The analysis is conducted within the framework of the three-phase-lag model of generalized thermoelasticity, incorporating interfaces characterized by normal stiffness, transverse stiffness, and thermal conductance. Mathematical expressions for reflection and transmission coefficients, along with energy ratios, are derived for the reflected and transmitted QLD, QTD, QTM, QLM, and QT waves. The effects of initial stresses, nonlocality, and rotation and bonding parameters are systematically examined, and the energy ratios is established to ensure the model’s accuracy. Numerical computations have conducted to demonstrate the impact of nonlocality, microstretch, microrotation, and initial stresses on reflection/transmission coefficients with imperfection boundary. Graphical illustrations provide deeper insights into the influence of interface imperfections on the behavior of reflected/transmitted waves offering valuable contributions to the study of wave propagation in complex media.
Abstract
We have developed a mathematical model to investigate the reflection/transmission phenomena of plane waves at various imperfect interfaces in initially stressed, rotating, nonlocal orthotropic microstretch thermoelastic half-spaces. The analysis is conducted within the framework of the three-phase-lag model of generalized thermoelasticity, incorporating interfaces characterized by normal stiffness, transverse stiffness, and thermal conductance. Mathematical expressions for reflection and transmission coefficients, along with energy ratios, are derived for the reflected and transmitted QLD, QTD, QTM, QLM, and QT waves. The effects of initial stresses, nonlocality, and rotation and bonding parameters are systematically examined, and the energy ratios is established to ensure the model’s accuracy. Numerical computations have conducted to demonstrate the impact of nonlocality, microstretch, microrotation, and initial stresses on reflection/transmission coefficients with imperfection boundary. Graphical illustrations provide deeper insights into the influence of interface imperfections on the behavior of reflected/transmitted waves offering valuable contributions to the study of wave propagation in complex media.
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
