Abstract
Abstract The present investigation is concerned with vibration phenomenon of a homogeneous, isotropic thermoelastic microbeam with double porosity (TDP) structure induced by pulsed laser heating, in the context of Lord– Shulman theory of thermoelasticity with one relaxation time. Laplace transform technique has been applied to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field, and temperature distribution. The resulting quantities are recovered in the physical domain by a numerical inversion technique. Variations of axial displacement, axial stress, lateral deflection, volume fraction field, and temperature distribution with axial distance are depicted graphically to show the effect of porosity and laser intensity parameter. Some particular cases are also deduced.
Highlights
The demand for engineering structures is continuously increasing
The present investigation is concerned with vibration phenomenon of a homogeneous, isotropic thermoelastic microbeam with double porosity (TDP) structure induced by pulsed laser heating, in the context of Lord– Shulman theory of thermoelasticity with one relaxation time
Variations of axial displacement, axial stress, lateral deflection, volume fraction field, and temperature distribution with axial distance are depicted graphically to show the effect of porosity and laser intensity parameter
Summary
The demand for engineering structures is continuously increasing. Aerospace vehicles, bridges, and automobiles are examples of these structures. Cowin and Nunziato [10] developed a theory of linear elastic materials with voids for the mathematical study of the mechanical behavior of porous solids. Iesan and Quintanilla [11] derived a theory of thermoelastic solids with double porosity structure by using the theory developed by Cowin and Nunziato [10]. Soh et al [17] studied the vibration of micro/nanoscale beam resonators induced by ultra-shortpulsed laser by considering the thermoelastic coupling term. Kumar [20] studied the response of thermoelastic beam because of thermal source in modified couple stress theory. Response of a thermoelastic microbeam with double porosity (TDP) structure induced by laser pulse heating in the context of the Lord–Shulman theory of thermoelasticity is studied.
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