2012 U.S. Professor of the Year
Professor, OCW advocate, socioeconomic diversity champion, onepony pedagogy assailant, UDL believer, replicating educationresearch studies supporter.


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ThermoMechanical Beam Element for Analyzing Stresses in Functionally Graded Materials Modeling at the structural scale most often requires the use of beam and shell elements. This simplification reduces modeling complexity and computation requirements but sacrifices the accuracy of throughthethickness information. Several studies have reported various design approaches for analyzing functionally graded material structures. One of these studies proposed a twonode beam element for functionally graded materials (FGMs) based on firstorder shear deformable (FOSD) theory.
The derivation of governing equations included spatial temperature variation. However, only the constant temperature case was carried through in the elements formulation. This research explored the effects of spatial temperature variation in the axial and through the thickness direction of this proposed element and present a new standard threenode beam finite element modified for structure constructed of FGMs.
Also, the influence of the temperature dependency of the thermoelastic material properties on the thermal stresses distribution was studied. In addition, variations in the layer thicknesses within multilayer beam models were studied to determine the effect on stresses and factor of safety. Finally, based on the specific factor of safety, which combines together the strength and mass of the beam, the best layer thicknesses for the beam models were established.
The key contributions from this research were
