Application of the Burgers model and elasticity theory to obtain viscoelastic solutions for flexural creep of layered beams

In this study, analytical solutions were proposed to investigate the flexural creep behaviors of viscoelastic layered beams subjected to sustained loads. The viscoelastic properties of the laminar layer and the interlayer were considered. Based on exact elasticity theory and the Boltzmann superposition principle, viscoelastic analytical solutions were obtained. Comparative studies indicated that the present solution had better precision than the Euler–Bernoulli beam solution, especially for thick beams. In addition, the present solution had greater computational efficiency than the finite element solution because the latter involves the time discretization method. The influences of various parameters were analyzed in detail.