Hygrothermal and elastic response induced by internal source shocks in a circular disk with phase-lag behavior

This study develops a novel hyperbolic coupled moisture-heat model by extending the non-Fourier law and non-Fick law to solve a transient response of hygrothermoelastic field induced by internal heat and moisture sources in a circular disk. In contrast to classical diffusion theory, this model captures the finite propagation velocity of heat and moisture waves through relaxation time parameters. By utilizing Laplace transform and finite Hankel transform techniques, a semi-analytical method is formulated to determine temperature, humidity, displacement, and stress fields of a disk made of T300/5208 graphite epoxy composite. The model analyzes the transient responses of the hygrothermomechanical field caused by internal thermal/moisture shocks under given temperature and moisture at its boundary and studies systematically the coupling and decoupling mechanisms among temperature, humidity, and stress fields. The findings notably enhance the accuracy of predicting composite material performance under various environmental conditions, thereby furnishing a robust scientific basis for the design and optimization of disks in multi-field environment. The proposed semi-analytical method offers invaluable insights into the intricate hygrothermoelastic behavior of composite structures.