Modelling of Magnetic Shape Memory Alloys plates for pressure sensor application

Ferromagnetic shape memory alloys (FSMA) are new class of smart material and have been investigated for sensor and actuator and energy harvester applications. This paper presents the basis for pressure sensor based on the magnetic shape memory effect in membranes. Von karmans nonlinear terms are considered in strain-displacement relationships of thin films and a new method is presented for solution of large deflections of thin films with arbitrary boundary condition. In this study the equations of motion of MSMA are extended. In pressurized membranes, the complex distribution of mechanical stress can cause martensitic reorientation, which is the underlying mechanism for sensing applications in MSMAs. In order to examine the obtained model, the governing equations of MSMAs are solved for clamped thin films and results are compared with experimental data. Demonstrating good agreement with experimental data, the presented model can be used for analysis of MSMA-based smart structures. In this article the deflection profile of the uniformly loaded square and rectangular thin films is determined with general boundary conditions. Furthermore, the center deflection of MSMA membrane under different magnetic bias field is simulated. The results of simulation can be used for designing a membrane-based pressure sensor using MSMAs.

Keywords:

Magnetic shape memory alloy (MSMA) , pressure sensor , magnetic-mechanical loading