Viscoelastic modeling of a functionally graded hybrid composite beam using finite element modleing
This paper presents the viscoelastic modeling of a functionally graded hybrid viscoelastic composite structure. The structure studied here consists of an oxide ceramic layer, a functionally graded ceramic viscoelastic layer, a high temperature sensor patch, a polymer matrix composite layer and a piezoelectric transducer layer. The outer oxide ceramic layer withstands high temperatures up to 1300°C. The functionally graded ceramic layer combines shape memory alloy (SMA) properties of NiTi together with a MAX phase material Ti2AlC (called Graded Ceramic/Metal Composite, or GCMeC). The polymer matrix composite (PMC) layer is laced with vascular cooling channels all held together with various epoxies. The piezoelectric transducer carries triple functions as an energy harvester, a strain sensor as well as an actuator. One of the key effects not well modeled in this composite structure is its damping property. Due to the recoverable nature of SMA and the adhesive properties of Ti2AlC, the damping behavior of the GCMeC is largely viscoelastic. The main focus of this paper is on a finite element formulation for this functional graded hybrid structure with incorporated viscoelastic material. In order to implement the viscoelastic model into the finite element formulation, a second order three parameter Golla-Hughes-McTavish (GHM) method and the Anelastic Displacement Fields (ADF) method are compared and used to describe the viscoelastic behavior. Considering the parameter identification, curve fits of modulus functions compared with experimental data is presented and good agreement (less than 5% error) is reached for both GHM and ADF models. Numerical simulation of the cantilever beam sample is carried out to predict its damping behavior at first four vibration modes.
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