Effect of loading rate on transient response of a nano scale medium based on continuum and thermal conduction nonlocal model

Abstract

Thermoelastic study at nano scale is an important matter along with the minimizing of the systems and intensive use of ultrafast lasers that size can influence on elastic deformation and thermal conduction grow. In this study, thermal and mechanical responses of nano-scaled body, exposed to thermal loads from outer supply and environment is inquired. In this research, nonlocal thermoelasticity model according to both nonlocal thermal conduction law and continuum theory is represented. A nonlinear finite element equation is applied to solve the coupled governing equations. It is considered that a nano scale medium is subjected to a sudden thermal shock. The results reveal some interesting aspects of wave propagation. The effects of thermal loading and loading rate on the wave propagation are discussed. The impact of the thermal and elastic nonlocality on wave dissemination is also shown graphically and discussed. Comparing the wave propagation characteristics of the classical and generalized thermoelasticity theories in the nonlocal models shows the superiorities of the proposed model. The maximum compressive stress may be observed at the wave front due to the resistance of the particles that are located ahead of the stress wave.