The present problem deals with the thermo-elastic interaction of a gold nano-beam resonator induced by ramp-type heating under the two temperature theory of generalized thermoelasticity. The governing equations are constructed in the context of two-temperature three-phase-lag model (2T3P) and two-temperature Lord-Shulman (2TLS) model of generalized thermoelasticity. | Modeling and analysis of vibration of a gold nano-beam under two-temperature theory Engineering Solid Mechanics 2017 15-30 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Modeling and analysis of vibration of a gold nano-beam under two-temperature theory Sudip Mondala Abhik Sura and M. Kanoriaa a Department of Applied Mathematics University of Calcutta 92 A. P. C. Road Kolkata- 700009 West Bengal India A R T I C L EI N F O ABSTRACT Article history The present problem deals with the thermo-elastic interaction of a gold nano-beam resonator Received 6 July 2016 induced by ramp-type heating under the two temperature theory of generalized Accepted 30 October 2016 thermoelasticity. The governing equations are constructed in the context of two-temperature Available online three-phase-lag model 2T3P and two-temperature Lord-Shulman 2TLS model of 31 October 2016 Keywords generalized thermoelasticity. Using the Laplace transform the fundamental equations have Two-temperature theory been expressed in the form of a vector-matrix differential equation which is then solved by Three-phase-lag model Eigen value approach and Mathematica software package has been used as a tool. The Euler-Bernoulli equation inversion of Laplace transforms are computed numerically using the method of Fourier series Femtoseconds scale expansion technique. Numerical results for lateral vibration temperature displacement stress Ramp-type heating and the strain energy are presented graphically for Lord-Shulman model and also for three- phase lag model. A numerical instance of gold nano-beam in femtoseconds scale has been calculated to present the effect of the ramping time parameter on the entire studied field. The effect of two-temperature parameter is also discussed on the physical fields. 2017 Growing Science Ltd. All rights reserved. 1. Introduction During the last five decades non-classical thermoelasticity theories involving hyperbolic .
