Static analysis of sandwich plates embedded with shape memory alloy wires using active strain energy tuning method

Abstract

In this study, static analysis of sandwich plates with flexible core and composite face sheets embedded with shape memory alloy (SMA) wires in the face sheets is conducted. Third-order plate theory is used to model face sheets, and quadratic and cubic functions are assumed for transverse and in-plane displacements of the flexible core. Continuity conditions of transverse shear stresses at the interfaces between face sheets and core and the zero transverse shear stresses conditions on the upper and lower face sheets are satisfied. Also, transverse flexibility and transverse normal strain and stress of the orthotropic core are noted. The SMA wires are placed in the laminated composite face sheets. Constitutive equation of the SMA wires is employed for modeling their behavior. Nonlinear equations of motion and boundary conditions of sandwich plates are derived using Hamilton's principle. The nonlinear governing equations of the simply supported sandwich plates under uniform and sinusoidal transverse loads are solved based on Navier's method. The effect of activating embedded SMA wires on bending behavior of composite sandwich plates are investigated using the active strain energy tuning method. The Liang's constitutive model is employed to obtain the SMA wires recovery force. The obtained results show that activating SMA wires causes a decrease in the deflection and stresses in these plates.

Buckling analysis of different types of porous FG conical sandwich shells in various thermal surroundings

“…(13)(14)(15) and boundary conditions in Eqs. (16)(17)(18), the nonlinear temperature distribution in the FG layers can be determined as Eq. 24of Ref.…”

“…Shokrollahi et al [16] investigated the responses of sandwich cylindrical shells under static loadings by using a high-order sandwich panel theory. Rad and Kheirikhah [17] by applying a high-order sandwich plate theory studied the bending of sandwich plate with composite face sheets. Mohammadi et al [18] by using a high-order sandwich plate theory investigated the responses of low velocity impact in the sandwich plates with FG face sheets.…”

Nonlinear Dynamic Analysis of Axially Moving Laminated Shape Memory Alloy Beam with 1:3 Internal Resonance

“…Odeny D. et al [8] studied the nonlinearity of the aeroelastic behavior of reinforced SMA hybrid composite (SMAHC) cylindrical plate on a microscopic mechanics model of carbon fiber-SMAHC laminated plate using a layered Rayleigh-Ritz procedure. Akhavan-Rad B. et al [9] applied the high-order sandwich panel theory to the vibration of SMA wire-embedded laminated plate Materials 2021, 14, 4022 2 of 13 and provided an analytical solution to the nonlinear control equation for simply-supported sandwich panels under uniform and sinusoidal loading. Reza Razavilar et al [10] developed a semi-analytical method to examine the free and forced vibration of SMA beams, modeled the control dynamic equation for SMA beams coupled with deformation strain, and analyzed the dynamic characteristics of these beams using phase trajectory.…”