Exact analytical solutions for bending creep behavior of viscoelastic laminated arches with interlayers: Fid-Bau Portal

Exact analytical solutions for bending creep behavior of viscoelastic laminated arches with interlayers

Gao, Yun / Yu, Fei / Wu, Peng

Abstract In this work, an exact analytical solution is proposed in order to investigate the bending creep behavior of viscoelastic laminated arches with interlayers under a distributed load. In the analytical model, both the lamina layers and bonding interlayers are considered as viscoelastic materials, which are described by Burgers model for transient and steady-state creep stages. The stress and displacement fields in each viscoelastic lamina layer are obtained on the basis of the exact elasticity theory as well as Boltzman superposition principle. The general solution of stresses and displacements with unknown coefficients is derived by utilizing the Fourier series expansion approach. The interlayer slip effect in the laminated arches is considered in the continuity conditions. By employing analytical Laplace transformation, the coefficients are further determined according to the continuity and load conditions. The present solution is compared to the finite element solution and they show a good agreement. The influences of various parameters are investigated in detail on the bending creep behavior of the arch.

Highlights • The viscoelastic properties of the lamina layers and the interlayers in the laminated arch are both considered. • The present analytical solution based on the exact elasticity theory and Boltzman superposition principle has high accuracy. • The influences of various parameters are detailly investigated on the bending creep behavior of the arch. • The present study can provide guidance in the long-term pre-camber design for straight laminated beam.