Laser generated thermoelastic waves in finite and infinite transversely isotropic cylinders

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dc.contributor.authorChitikireddy, Ravi
dc.contributor.examiningcommitteeRattanawangchareon, Nipon (Civil Engineering) Bridges, Greg (Electrical & computer Engineering), Rajapakse, Nimal (School of Engineering Science, Simon Fraser University)en_US
dc.contributor.supervisorShah, Arvind (Civil Engineering) Bai, Hao (Mechanical Engineering)en_US
dc.date.accessioned2012-08-20T21:52:55Z
dc.date.available2012-08-20T21:52:55Z
dc.date.issued2010en_US
dc.date.issued2011en_US
dc.date.issued2011en_US
dc.degree.disciplineCivil Engineeringen_US
dc.degree.levelDoctor of Philosophy (Ph.D.)en_US
dc.description.abstractThis thesis presents a theoretical study of thermoelastic guided waves in cylinders in the context of Lord-Shulman generalized theory of thermoelasticity. Two different methods were formulated to study dispersion relations in infinite cylinders. One of them is a Semi Analytical Finite Element (SAFE) method and the other is an analytical method. In the SAFE method, the dispersion equation has been formulated as a generalized eigenvalue problem by treating radial displacement and temperature with a one dimensional finite element model through the thickness of the cylinder. In the analytical method, displacement potentials are introduced to obtain the dispersion relations of guided wave modes. This method is applicable to isotropic cylinders and has been developed primarily to cross check the SAFE formulation. Frequency spectra obtained by both methods for an isotropic cylinder have shown excellent agreement with each other. Since the SAFE method can be used for an anisotropic composite cylinder, guided wave modes for anisotropic and composite cylinders are presented. Transient analysis of ultrasonic guided waves generated by concentrated heating of the outer surface of an infinite anisotropic cylinder has also been studied. The SAFE method is employed to model the response of a cylinder due to a pulsed laser focused on its surface. Green’s functions were constructed numerically by superposition of guided wave modes in frequency and wave number domains. Time histories of the propagating modes are then calculated by applying an inverse Fourier transformation in the time domain. Transient radial displacements of longitudinal and flexural modes of a silicon nitride cylinder are presented. Propagation of thermoelastic waves in finite length circular cylinders have also been investigated. The SAFE method is used to simulate the guided wave modes in the cylinder. Frequency spectra obtained by the SAFE formulation, for a finite length transversely isotropic cylinder, are validated by comparing the numerical results with relevant publications. Frequency spectra for axisymmetric and asymmetric modes in a silicon nitride finite cylinder with both ends insulated and restrained by frictionless rigid walls are presented. The plain strain problem of circumferential guided waves is also studied and the results are validated for an isothermal case.en_US
dc.description.noteOctober 2012en_US
dc.identifier.citationJournal of thermal stressesen_US
dc.identifier.citationJournal of Mechanics of Materials and Structuresen_US
dc.identifier.citationInternational Journal of Solids and Structuresen_US
dc.identifier.urihttp://hdl.handle.net/1993/8445
dc.language.isoengen_US
dc.publisherTaylor & Francis Group, LLCen_US
dc.publisherMathematical Sciences Publishersen_US
dc.publisherElsevier Ltd.en_US
dc.rightsopen accessen_US
dc.subjectThermoelastic wavesen_US
dc.subjectUltrasonic guided wavesen_US
dc.subjectSemi-analytical finite elementen_US
dc.subjectFrequency spectraen_US
dc.subjectModal superpositionen_US
dc.subjectTransient responseen_US
dc.titleLaser generated thermoelastic waves in finite and infinite transversely isotropic cylindersen_US
dc.typedoctoral thesisen_US
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