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Reflection of plane waves on the stress-free and rigid boundary surfaces of pre-stressed piezoelectric-orthotropic substrate: A comparative approach

Mukesh Kumar Pal, Abhishek Kumar Singh, Richa Kumari

2020Mechanics of Advanced Materials and Structures16 citationsDOI

Abstract

This study delves with the reflection phenomenon of plane-waves due to incidence of quasi-longitudinal (QL) wave at a semi-infinite structure comprising of pre-stressed piezoelectric-orthotropic substrate (POS) with stress-free (Case I) and rigid (Case II) bounding surfaces. The compact-form expressions of reflection-coefficients (RCs) of reflected QL wave, quasi-transverse (QT) wave and evanescent-electroacoustic (EA) wave for different cases of pre-stressed POS are deduced. To unravel effects of higher anisotropy in substrate, comparative analysis in pre-stressed transversely isotopic piezoelectric substrate (TIPS) medium with stress-free (Case III) and rigid (Case IV) boundaries is carried out. PVDF and ALN materials are considered for numerical computations. For validation, energy-partition and conditions of grazing incidence for all the undertaken cases are analyzed.

Topics & Concepts

Orthotropic materialPiezoelectricityMaterials scienceReflection (computer programming)Transverse planeBoundary value problemStress (linguistics)Transverse waveOpticsStructural engineeringComposite materialPhysicsMathematicsMathematical analysisFinite element methodEngineeringLinguisticsComputer sciencePhilosophyProgramming languageThermoelastic and Magnetoelastic PhenomenaUltrasonics and Acoustic Wave PropagationElasticity and Wave Propagation
Reflection of plane waves on the stress-free and rigid boundary surfaces of pre-stressed piezoelectric-orthotropic substrate: A comparative approach | Litcius