Abstract：The fractional-ordered constitutive model, with its fewer parameters and clearer physical implications, has demonstrated superior applicability in numerous fields compared to traditional integer-ordered models. This study adopts the fractional standard linear solid model, aiming to delve into the linear creep buckling characteristics of viscoelastic thin plates under the coupled mechanical and thermal influences. To ensure the accuracy of the numerical analysis, the HRBF meshless method is employed, and the computational results have been verified for their high precision. The findings reveal that the stability of fractional viscoelastic thin plates exhibits a significant dependence on time, characterized by a decreasing trend in both the critical load and critical temperature of the plates as time progresses.
2024, Vol. 45 
