Authors : Nagesh Dhore and Lalsingh Khalsa
Page Nos : 177-184
Description :
In the context of fractional calculus, an analytical approach is suggested for resolving the coupled time-fractional order hygrothermoelastic equations for a non-simple cylinder. The transient response of an infinitely long cylinder subjected to ramp-type hygrothermal loadings at the surface is examined using the theory of fractional hygrothermoelasticity. Closed-form expressions for temperature and moisture have been derived in the Laplace domain using the Laplace transform method and introducing a new axillary function. Finally using the Riemann-sum approximation method, the solution is obtained in a time domain. The numerical findings of the transient response of the hygrothermoelastic fields are provided graphically to show the effect of the ramping time parameter inside the hygrothermal field.
