Finite Element Formulation for Static and Time Dependent Transverse Deflection of Functionally Graded Sandwich Beams with Viscoelastic Core

Abstract

The present study describes the finite element (FE) formulation for static and time dependent deflection of functionally graded (FG) sandwich beams with viscoelastic core. The kinematics of the beam are derived as per Euler–Bernoulli beam model. Rule of mixture and power law index define the variation of properties of FG stiff layers and core is considered as isotropic. Standard Linear solid model is used to define time dependent shear modulus of viscoelastic material. Static deflection results are validated with available literature. Effect of parameters on static deflection are studied for various boundary conditions. © 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.