Hygrothermoelastic analysis of non-simple nano-beam induced by ramp-type heating

This study investigates a two-temperature hygrothermoelastic model to describe the effects of coupled temperature and moisture in a non-simple nano-beam subjected to hygrothermal loading. This paper analyses the hygrothermal distribution of an Euler-Bernoulli beam with a rectangular cross-section beam. A closed-form solution for temperature, moisture, displacement and hygrothermal stresses is obtained using the decoupling and integral transform methods along the thickness direction. A numerical example with porous composite material in the picoseconds scale has been calculated to illustrate the effect of the ramping time parameter within the hygrothermal field. The relevance of the influence of various characteristics is examined. The appropriate discussions and conclusions are reached.