Hygrothermoelastic response in a hollow cylinder considering dual-phase-lag heat-moisture coupling

摘要

With the development of micro/nanoscale electromechanical systems and the wide applications of ultrashort pulse lasers, the classical and hyperbolic hygrothermal coupled models fail to predict the micro/nanoscale hygrothermoelastic responses. This paper presents a dual-phase-lag hygrothermal coupled model to analyze the transient responses of an infinitely long hollow cylinder subjected to hygrothermal loadings at the inner surface. By using the method of separating variables and the Laplace transform, the closed form solutions of temperature, moisture, displacement and stresses are obtained. The effects of the phase-lags of heat flux, moisture flux, temperature gradient and concentration gradient on the responses are calculated and displayed graphically. The present results are also compared with those based on the classical and hyperbolic models, which can be viewed as two special cases of the dual-phase-lag model. It can be shown that the phase-lags parameters play an essential role in controlling the heat and moisture transfer process.