Peridynamic modeling of shape memory alloy smart beam under thermomechanical loading
摘要
In this study, the thermo-mechanical behavior of a Shape Memory Alloy (SMA) smart beam is investigated using the nonlocal peridynamics (PD) theory. The beam is composed of two thin SMA layers and a substrate. The equations of motion for the nonlocal Timoshenko beam are derived, and axial, transverse, and bending displacements are analyzed. The PD model accurately captures the key characteristics of the SMA material. Using the Brinson constitutive equation, the shape memory effect and pseudo-elasticity of the SMA layer are simulated within the nonlocal PD framework. The stress–strain response of the SMA material is analyzed at various temperatures and validated against experimental results. The beam’s behavior under axial force and bending moment is demonstrated through implicit numerical solutions and compared with numerical and experimental data. The proposed PD model is verified effectively to track SMA characteristics under different stress and temperature conditions.