Elastoplastic Analysis of Functionally Graded Beams under Mechanical Loads

Elastic-plastic behavior of a beam made of functionally graded material 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.