Elastoplastic Analysis of Functionally Graded Beams under Mechanical Loads

Elastic-plastic behavior of a beam made of functionally graded mate- rial is investigated in this work. The beam is subjected to the constant axial and bending loads and the critical values of these loads for yield, collapse and elastic-plastic conditions are obtained. The variation of elastic modulus and yield strength through the height of the beam is determined with an exponential rule. The perfect plastic curve is used to model the plastic behavior of the beam. The interaction diagrams between the bending moment and axial load are obtained for both of the yield and collapse conditions. The effect of power law function on yield and collapse loads is estimated. The results are reduced to the homogeneous beam and validated with data given in the literature search.