Thermomechanical Solutions for Functionally Graded Beam subject to various Boundary Conditions

In functionally graded materials one surface is generally a pure metal while the opposite surface is usually pure ceramic or a majority ceramic. The metal portion of the material acts in the role of a structural support while the ceramic provides thermal protection when subjected to harsh temperatures. The function describing the material variation throughout the material and more importantly the material property variation makes it possible to tailor the function to suit the needs of various applications. Effective properties of FGM are obtained by basic three laws i.e. Power Law (P-FGM), Exponential Law (E-FGM) and Sigmoid Law (S-FGM). In current work three types of beams are considered: cantilever, fixed and simply supported beam of uniform rectangular and I- cross-section composed of FGM and Metal individually. The beams are subjected to variable thermal environment under constant mechanical load. Corresponding to these loads, we can obtain deflection, stress and shear stress for both rectangular and I-cross section. Each beam is characterized by plotting the curve between deflection and temperature, stress and temperature and shear stress and temperature with the help of ANSYS Software.